Titanic Prime Generalized Repunits

Notes and Notation

• A Generalized Repunit (GRU) is an integer generated from two other integers, a base b and an exponent n thus: (bⁿ-1)/(b-1). As it is a necessary condition for the GRU to be prime that the exponent is prime, a prime GRU is equivalent to the Cyclotomic Number Φ_n(b) and this more compact notation will be used on this page.
• For base 2, the GRUs are known as Mersenne numbers and are not listed here. A list of known Mersenne primes is maintained by Prof. Chris Caldwell. For details of the current search project, see the GIMPS home page.
• For base 10, the GRUs are known as plain Repunits and are not listed here. For details of known primes and probable primes and a current search project, see the Repunit Primes Project home page.
• A Titanic prime is one of at least 1000 decimal digits.
• Note that there is an enormous difference between a probable prime and a proven prime. All primes listed here have been proved and, where possible, links to certificates of primality are provided. Bernardo Boncompagni maintains a list of probable prime GRUs.
• Prof. Chris Caldwell maintains a list of the Top 20 largest proven prime GRUs, conforming to his definition of legality, which is that the base may not exceed five times the exponent. Another page of mine shows how that Top 20 has evolved year on year since 1994.
• I present here a table of all the examples of Legal Proven Titanic Prime GRUs of which I am aware.
• If there is a hyperlink in a row, it leads to the certificate for that GRU.

  1226 Titanic Generalized Repunit Primes

  Rank	Digits	GRU	Year	N-1 %	Proved By
  1	37090	Φ8317(28839)	2006	27.687%	Andy Steward
  2	30056	Φ7411(11379)	2009	30.696%	Andy Steward
  3	26684	Φ7549(3429)	2009	33.454%	Andy Steward
  4	24506	Φ5953(13096)	2007	28.521%	Andy Steward
  5	23335	Φ11971(89)	2009	25.643%	Tom Wu
  6	23333	Φ5347(23151)	2008	34.164%	Andy Steward
  7	23058	Φ6121(5855)	2005	27.442%	Predrag Minovic & Larry Soule
  8	19756	Φ4969(9473)	2009	25.609%	Tom Wu
  9	19367	Φ4663(14261)	2007	31.637%	Andy Steward
  10	19000	Φ4591(13782)	2005	31.078%	Andy Steward
  11	18925	Φ4513(15637)	2007	31.286%	Andy Steward
  All legal examples with fewer than 18126 digits have been found. 3748 await proof.
  12	17879	Φ4201(18067)	2002	28.268%	Andy Steward
  13	17648	Φ4099(20250)	2010	33.608%	Andy Steward
  14	17332	Φ4051(19026)	2008	31.004%	Andy Steward
  15	16980	Φ4621(4735)	2005	27.038%	David Broadhurst & Bouk de Water
  16	16882	Φ4177(11031)	2005	36.086%	David Broadhurst & Bouk de Water
  17	16170	Φ3793(18371)	2010	26.756%	Andy Steward
  18	15545	Φ4201(5024)	2009	27.411%	Andy Steward
  19	15539	Φ5483(683)	2009	50.088%	Andy Steward
  20	15484	Φ4051(6655)	2010	26.462%	Andy Steward
  21	15450	Φ3697(15134)	2007	27.224%	Andy Steward
  22	15343	Φ4129(5207)	2010	26.331%	Andy Steward
  23	15219	Φ3613(16339)	2008	33.116%	Andy Steward
  24	15051	Φ4177(4018)	2008	37.968%	Andy Steward
  25	15038	Φ3889(7372)	2007	28.701%	Andy Steward
  26	14676	Φ3499(15679)	2003	35.623%	David Broadhurst & Bouk de Water
  27	14534	Φ4231(2728)	2005	30.060%	Andy Steward
  28	14369	Φ3673(8185)	2003	29.097%	Andy Steward
  29	14240	Φ3967(3894)	2008	33.613%	Andy Steward
  30	14202	Φ3433(13735)	2008	29.304%	Andy Steward
  31	14152	Φ3541(9945)	2010	26.487%	Andy Steward
  32	14077	Φ3671(6848)	2008	40.395%	Andy Steward
  33	13512	Φ3301(12432)	2003	34.360%	Andy Steward
  34	13461	Φ3319(11398)	2005	35.200%	Andy Steward
  35	13263	Φ3821(2963)	2005	26.671%	Tom Wu
  36	13258	Φ3697(3863)	2005	30.756%	Andy Steward
  37	13060	Φ3727(3198)	2008	36.447%	Andy Steward
  38	13034	Φ3361(7568)	2001	33.349%	Andy Steward
  39	12919	Φ3877(2153)	2005	40.257%	Tom Wu
  40	12782	Φ4801(460)	2006	26.607%	Alex Kruppa, Predrag Minovic & Larry Soule
  41	12730	Φ3769(2389)	2008	35.062%	Andy Steward
  42	12610	Φ4177(1046)	2005	34.512%	David Broadhurst & Bouk de Water
  43	12368	Φ3617(2632)	2010	29.987%	Bernardo Boncompagni & David Broadhurst
  44	12331	Φ3061(10708)	2002	35.840%	Andy Steward
  45	12302	Φ4363(661)	2005	33.857%	Tom Wu
  46	12041	Φ3049(8921)	2007	34.982%	Andy Steward
  47	11955	Φ3037(8662)	2005	35.675%	Andy Steward
  48	11886	Φ3257(4469)	2005	35.005%	Andy Steward
  49	11748	Φ3187(4867)	2005	36.552%	David Broadhurst & Bouk de Water
  50	11720	Φ3613(1756)	2006	28.023%	Andy Steward
  51	11566	Φ3019(6797)	2007	33.679%	Andy Steward
  52	11558	Φ3061(5984)	2006	29.236%	Andy Steward
  53	11541	Φ2857(10986)	2005	30.042%	Andy Steward
  54	11240	Φ2851(8781)	2005	33.674%	Andy Steward
  55	11109	Φ5281(127)	2005	27.044%	Predrag Minovic & Larry Soule
  56	10990	Φ2791(8684)	2005	34.043%	Andy Steward
  57	10875	Φ2677(11581)	2006	34.377%	Andy Steward
  58	10871	Φ3121(3048)	2002	29.972%	David Broadhurst, Bouk de Water & Andy Steward
  59	10746	Φ3121(2781)	2001	36.235%	Andy Steward
  60	10711	Φ3061(3164)	2001	30.866%	Andy Steward
  61	10669	Φ3119(2639)	2008	50.191%	Andy Steward
  62	10644	Φ2897(4733)	2008	50.974%	Andy Steward
  63	10631	Φ2857(5273)	2003	43.120%	Andy Steward
  64	10619	Φ2689(8917)	2001	30.377%	Andy Steward
  65	10534	Φ2887(4466)	2005	33.434%	Andy Steward
  66	10473	Φ2767(6113)	2005	33.717%	Tom Wu
  67	10433	Φ2621(9592)	2010	26.569%	Bernardo Boncompagni
  68	10398	Φ2671(7840)	2006	28.308%	Andy Steward
  69	10280	Φ8741(15)	2006	27.231%	Andy Steward
  70	10264	Φ2713(6087)	2007	34.655%	Andy Steward
  71	10110	Φ2699(5585)	2008	51.048%	Andy Steward
  72	10109	Φ2521(10268)	2001	30.003%	David Broadhurst & Bouk de Water
  73	10105	Φ2647(6588)	2003	35.464%	David Broadhurst & Bouk de Water
  74	10072	Φ2521(9926)	2001	30.972%	David Broadhurst & Sean Irvine
  75	10043	Φ2857(3284)	2003	29.603%	Andy Steward
  76	10020	Φ2521(9464)	2010	26.441%	Andy Steward
  77	9947	Φ2521(8854)	2001	33.340%	David Broadhurst
  78	9920	Φ3361(896)	2009	27.180%	Andy Steward
  79	9859	Φ2851(2879)	2005	28.155%	Tom Wu
  80	9850	Φ2593(6311)	2007	33.203%	Andy Steward
  81	9843	Φ2731(4029)	2009	28.613%	Andy Steward
  82	9775	Φ2521(7565)	2009	29.994%	David Broadhurst, Bouk de Water & Bernardo Boncompagni
  83	9621	Φ2377(11191)	2007	27.991%	Andy Steward
  84	9582	Φ2753(3031)	2005	30.596%	Andy Steward
  85	9577	Φ3613(448)	2010	28.311%	Andy Steward
  86	9475	Φ2381(9572)	2005	44.014%	Andy Steward
  87	9371	Φ2389(8397)	2010	26.252%	Andy Steward
  88	9341	Φ3169(888)	2009	27.398%	Andy Steward
  89	9313	Φ2341(9539)	2005	29.778%	Tom Wu
  90	9304	Φ2621(3556)	2010	26.526%	Andy Steward
  91	9239	Φ2341(8871)	2010	26.825%	Andy Steward
  92	9151	Φ3061(978)	2001	30.184%	Andy Steward
  93	9132	Φ2381(6869)	2006	28.213%	Andy Steward
  94	8997	Φ2357(6583)	2006	28.582%	Andy Steward
  95	8989	Φ2381(5982)	2007	29.783%	Andy Steward
  96	8982	Φ2267(9199)	2009	50.531%	Andy Steward
  97	8849	Φ2341(6045)	2008	29.911%	Andy Steward
  98	8848	Φ2267(8025)	2006	46.490%	Andy Steward
  99	8836	Φ2341(5968)	2002	30.227%	Andy Steward
  100	8617	Φ2161(9751)	2001	30.515%	David Broadhurst
  101	8607	Φ2683(1618)	2010	45.693%	Andy Steward
  102	8559	Φ2347(4447)	2007	37.920%	Andy Steward
  103	8553	Φ2143(9832)	2005	39.519%	Andy Steward
  104	8523	Φ2521(2409)	2001	32.296%	David Broadhurst & Sean Irvine
  105	8473	Φ2521(2302)	2001	31.908%	David Broadhurst
  106	8448	Φ2539(2130)	2005	41.342%	Andy Steward
  107	8416	Φ2341(3949)	2007	27.425%	Andy Steward
  108	8343	Φ2081(10247)	2005	42.441%	Andy Steward
  109	8325	Φ2161(7147)	2001	33.392%	David Broadhurst
  110	8322	Φ5581(31)	2001	30.590%	David Broadhurst & Sean Irvine
  111	8242	Φ2531(1809)	2005	40.358%	Andy Steward
  112	8113	Φ2161(5701)	2001	33.351%	David Broadhurst
  113	8105	Φ2027(10008)	2007	50.317%	Andy Steward
  114	8021	Φ2161(5167)	2010	26.347%	Andy Steward
  115	8011	Φ3697(147)	2010	26.497%	Andy Steward
  116	7958	Φ2011(9096)	2005	35.004%	Andy Steward
  117	7927	Φ2161(4676)	2001	30.471%	David Broadhurst
  118	7873	Φ2161(4411)	2001	33.343%	David Broadhurst
  119	7833	Φ2011(7888)	2005	31.905%	Andy Steward
  120	7832	Φ2053(6556)	2005	41.519%	Andy Steward
  121	7753	Φ2017(7007)	2009	27.454%	Andy Steward
  122	7742	Φ2731(685)	2009	27.173%	David Broadhurst, Bouk de Water & Bernardo Boncompagni
  123	7725	Φ2131(4233)	2006	29.212%	Andy Steward
  124	7710	Φ2161(3709)	2001	33.338%	David Broadhurst
  125	7703	Φ2017(6615)	2002	30.836%	David Broadhurst & Bouk de Water
  126	7592	Φ2161(3270)	2009	27.159%	Andy Steward
  127	7540	Φ3121(261)	2010	26.916%	Andy Steward
  128	7431	Φ2017(4850)	2001	31.180%	David Broadhurst, Bouk de Water & Sean Irvine
  129	7388	Φ2017(4616)	2001	33.351%	David Broadhurst & Bouk de Water
  130	7372	Φ2281(1710)	2005	30.440%	Andy Steward
  131	7313	Φ2017(4238)	2009	28.655%	David Broadhurst, Bouk de Water & Bernardo Boncompagni
  132	7240	Φ3001(259)	2009	28.644%	Andy Steward
  133	7225	Φ2393(1048)	2006	29.266%	Andy Steward
  134	7216	Φ2371(1108)	2005	30.128%	Andy Steward
  135	7197	Φ2297(1363)	2006	28.119%	Andy Steward
  136	7049	Φ2053(2722)	2007	28.564%	Andy Steward
  137	7025	Φ1933(4325)	2005	35.466%	Andy Steward
  138	7019	Φ2099(2214)	2005	50.048%	Andy Steward
  139	6996	Φ1801(7698)	2001	33.437%	David Broadhurst
  140	6990	Φ2161(1721)	2001	30.498%	David Broadhurst, Bouk de Water & Paul Leyland
  141	6970	Φ1901(4659)	2005	31.046%	Andy Steward
  142	6908	Φ1801(6878)	2000	33.364%	Andy Steward
  143	6859	Φ1871(4653)	2005	39.043%	Andy Steward
  144	6767	Φ2017(2271)	2001	33.360%	David Broadhurst & Bouk de Water
  145	6762	Φ3313(110)	2006	30.481%	Andy Steward
  146	6716	Φ1747(7017)	2005	35.035%	Andy Steward
  147	6677	Φ1861(3884)	2007	27.688%	Andy Steward
  148	6600	Φ1801(4640)	2001	30.347%	Andy Steward
  149	6563	Φ2521(402)	2000	33.355%	Pavlos Saridis & Conrad Curry
  150	6524	Φ1913(2581)	2010	26.450%	Andy Steward
  151	6504	Φ2269(737)	2007	28.175%	Andy Steward
  152	6382	Φ1873(2564)	2009	28.640%	Andy Steward
  153	6271	Φ1621(7421)	2006	29.792%	Andy Steward
  154	6192	Φ1609(7086)	2005	36.806%	Andy Steward
  155	6190	Φ1597(7554)	2006	29.134%	Andy Steward
  156	6137	Φ1951(1402)	2010	26.643%	Andy Steward
  157	6134	Φ1951(1398)	2007	27.864%	Andy Steward
  158	6133	Φ1801(2554)	2009	28.265%	Andy Steward
  159	6073	Φ1669(4371)	2010	27.184%	Andy Steward
  160	6061	Φ1621(5507)	2000	33.340%	David Broadhurst
  161	5988	Φ1801(2119)	2010	26.723%	Andy Steward
  162	5925	Φ1801(1956)	1994	33.434%	Harvey Dubner & Richard Brent
  163	5893	Φ1597(4924)	2005	31.028%	Andy Steward
  164	5821	Φ1657(3271)	2002	30.643%	Andy Steward
  165	5763	Φ1621(3609)	2009	30.543%	Andy Steward
  166	5731	Φ1621(3445)	2007	28.002%	Andy Steward
  167	5527	Φ1669(2057)	2005	34.368%	Andy Steward
  168	5473	Φ1621(2387)	2000	33.336%	David Broadhurst
  169	5470	Φ1429(6759)	2005	33.975%	Andy Steward
  170	5458	Φ1489(4650)	2007	27.426%	Andy Steward
  171	5427	Φ1429(6315)	2005	46.820%	Andy Steward
  172	5426	Φ1873(791)	2000	33.341%	Andy Steward
  173	5424	Φ1429(6282)	2010	26.356%	Andy Steward
  174	5394	Φ1511(3733)	2005	40.475%	Andy Steward
  175	5356	Φ6883(6)	2000	33.475%	Andy Steward
  176	5322	Φ1669(1550)	2008	28.482%	Andy Steward
  177	5298	Φ1381(6901)	2006	28.174%	Andy Steward
  178	5290	Φ1381(6811)	2009	32.616%	Andy Steward
  179	5240	Φ1429(4667)	2005	32.016%	Andy Steward
  180	5237	Φ1777(888)	2010	33.915%	Andy Steward
  181	5205	Φ2713(83)	2007	27.873%	Andy Steward
  182	5198	Φ2053(341)	2002	32.366%	Andy Steward
  183	5158	Φ1933(467)	2005	27.785%	Tom Wu
  184	5124	Φ1367(5635)	2007	50.321%	Andy Steward
  185	5056	Φ1423(3588)	2009	42.665%	Andy Steward
  186	4999	Φ4801(11)	2001	31.513%	David Broadhurst
  187	4941	Φ1721(745)	2001	33.609%	Andy Steward
  188	4931	Φ1429(2837)	2009	31.131%	Tom Wu
  189	4882	Φ1321(4994)	2001	33.366%	Andy Steward
  190	4876	Φ1301(5629)	2005	30.970%	Andy Steward
  191	4876	Φ1597(1134)	2010	31.176%	Andy Steward
  192	4823	Φ2341(115)	2006	28.542%	Andy Steward
  193	4815	Φ1321(4442)	2006	30.259%	Andy Steward
  194	4796	Φ1429(2283)	2005	30.990%	Andy Steward
  195	4776	Φ1301(4715)	2007	30.009%	Andy Steward
  196	4765	Φ1259(6132)	2005	52.758%	Andy Steward
  197	4762	Φ1321(4051)	2006	27.884%	Andy Steward
  198	4753	Φ1801(437)	1994	35.378%	Harvey Dubner & Richard Brent
  199	4738	Φ1361(3046)	2009	31.522%	Andy Steward
  200	4737	Φ1297(4518)	2002	45.597%	Andy Steward
  201	4729	Φ1709(587)	2001	30.476%	Andy Steward
  202	4723	Φ1489(1491)	2006	29.609%	Andy Steward
  203	4706	Φ1783(437)	2007	30.283%	Andy Steward
  204	4706	Φ1249(5890)	2001	46.845%	Andy Steward
  205	4699	Φ1399(2294)	2005	34.308%	Andy Steward
  206	4650	Φ1861(316)	2005	31.750%	Andy Steward
  207	4646	Φ1367(2517)	2005	50.261%	Andy Steward
  208	4646	Φ1621(737)	2007	28.843%	Andy Steward
  209	4637	Φ1381(2289)	2007	27.838%	Andy Steward
  210	4627	Φ1277(4228)	2007	31.072%	Andy Steward
  211	4622	Φ1321(3171)	2001	33.365%	Andy Steward
  212	4616	Φ1321(3138)	2001	31.345%	Andy Steward
  213	4572	Φ1531(973)	2008	32.316%	Andy Steward
  214	4500	Φ1801(316)	2001	32.507%	Andy Steward
  215	4469	Φ1193(5609)	2005	51.773%	Andy Steward
  216	4453	Φ1531(813)	2007	30.377%	Andy Steward
  217	4450	Φ1201(5102)	2000	33.343%	Andy Steward
  218	4429	Φ1237(3828)	2006	27.931%	Andy Steward
  219	4389	Φ1301(2376)	2009	28.823%	Andy Steward
  220	4387	Φ1201(4520)	2001	30.176%	David Broadhurst
  221	4368	Φ1531(715)	2009	34.771%	Andy Steward
  222	4320	Φ1153(5616)	2000	33.347%	David Broadhurst
  223	4312	Φ1609(480)	2001	30.428%	Andy Steward
  224	4305	Φ1187(4259)	2005	50.308%	Andy Steward
  225	4278	Φ1549(580)	2007	31.872%	Andy Steward
  226	4268	Φ1249(2626)	2010	26.616%	Andy Steward
  227	4258	Φ1171(4352)	2001	30.457%	Andy Steward
  228	4250	Φ1231(2851)	2010	26.869%	Andy Steward
  229	4234	Φ1153(4735)	2000	33.394%	David Broadhurst
  230	4220	Φ1361(1267)	2005	30.902%	Andy Steward
  231	4214	Φ1301(1742)	2005	30.240%	Andy Steward
  232	4212	Φ1229(2690)	2010	25.677%	Bernardo Boncompagni
  233	4197	Φ1283(1878)	2005	50.367%	Andy Steward
  234	4191	Φ1201(3107)	2001	33.382%	David Broadhurst
  235	4187	Φ1319(1500)	2005	50.427%	Andy Steward
  236	4174	Φ1621(377)	2007	30.970%	Andy Steward
  237	4154	Φ1117(5265)	2006	28.036%	Andy Steward
  238	4151	Φ1429(806)	2008	30.661%	Andy Steward
  239	4138	Φ1123(4875)	2006	29.767%	Andy Steward
  240	4124	Φ1123(4731)	2005	38.541%	Andy Steward
  241	4114	Φ1171(3279)	2009	30.584%	Andy Steward
  242	4099	Φ1193(2742)	2005	39.897%	Andy Steward
  243	4095	Φ1117(4668)	2007	27.523%	Andy Steward
  244	4042	Φ1321(1153)	2007	28.618%	Andy Steward
  245	4034	Φ1093(4935)	2007	27.570%	Andy Steward
  246	4023	Φ1153(3103)	2001	32.808%	David Broadhurst
  247	4015	Φ1213(2053)	2009	27.253%	Andy Steward
  248	3996	Φ1109(4039)	2010	26.168%	Andy Steward
  249	3971	Φ1097(4199)	2010	26.622%	Andy Steward
  250	3968	Φ1163(2596)	2005	44.555%	Andy Steward
  251	3957	Φ1621(277)	2007	29.590%	Andy Steward
  252	3954	Φ1321(989)	2000	36.140%	Andy Steward
  253	3948	Φ1117(3445)	2005	30.715%	Andy Steward
  254	3939	Φ1381(715)	2005	37.059%	Andy Steward
  255	3908	Φ1171(2186)	2002	44.474%	Andy Steward
  256	3894	Φ1327(863)	2001	42.764%	Andy Steward
  257	3883	Φ1171(2083)	2008	27.644%	Andy Steward
  258	3826	Φ1499(358)	2002	44.044%	Andy Steward
  259	3822	Φ1181(1732)	2010	26.399%	Andy Steward
  260	3817	Φ1283(949)	2001	50.427%	Andy Steward
  261	3773	Φ1039(4311)	2005	34.440%	Andy Steward
  262	3767	Φ1021(4933)	2001	36.046%	Andy Steward
  263	3764	Φ1051(3836)	2007	27.476%	Andy Steward
  264	3761	Φ1021(4858)	2007	28.644%	Andy Steward
  265	3758	Φ1297(793)	2009	27.782%	Andy Steward
  266	3755	Φ1021(4791)	2007	27.549%	Andy Steward
  267	3716	Φ1009(4854)	2000	33.390%	Andy Steward
  268	3698	Φ1171(1446)	2001	31.759%	Andy Steward
  269	3674	Φ1051(3155)	2007	27.527%	Andy Steward
  270	3663	Φ1009(4298)	2000	33.407%	Andy Steward
  271	3655	Φ1009(4224)	2000	33.381%	Andy Steward
  272	3643	Φ1021(3727)	2006	29.789%	Andy Steward
  273	3636	Φ1093(2136)	2007	32.957%	Andy Steward
  274	3635	Φ1609(182)	2001	44.289%	Andy Steward
  275	3624	Φ1249(801)	2007	27.468%	Andy Steward
  276	3611	Φ1033(3154)	2010	38.968%	Andy Steward
  277	3610	Φ1021(3459)	2007	29.466%	Andy Steward
  278	3605	Φ1009(3762)	2000	33.333%	Andy Steward
  279	3600	Φ1319(538)	2002	50.076%	Andy Steward
  280	3586	Φ1021(3272)	2010	27.295%	Bernardo Boncompagni
  281	3585	Φ1009(3595)	2000	33.378%	Andy Steward
  282	3568	Φ991(4010)	2007	29.629%	Andy Steward
  283	3562	Φ1033(2827)	2006	28.426%	Andy Steward
  284	3538	Φ1201(887)	2000	33.366%	Andy Steward
  285	3511	Φ1051(2207)	2005	33.268%	Tom Wu
  286	3491	Φ1249(626)	2007	27.915%	Andy Steward
  287	3480	Φ991(3274)	2009	26.239%	Bernardo Boncompagni
  288	3480	Φ1021(2580)	2008	29.378%	Andy Steward
  289	3476	Φ1697(112)	2001	31.474%	Andy Steward
  290	3469	Φ1321(424)	1994	36.391%	Harvey Dubner & Richard Brent
  291	3463	Φ1009(2722)	2001	31.003%	David Broadhurst
  292	3456	Φ1153(999)	2000	33.371%	David Broadhurst
  293	3441	Φ941(4567)	2010	26.296%	Andy Steward
  294	3434	Φ967(3581)	2001	41.247%	Andy Steward
  295	3433	Φ937(4651)	2000	33.659%	Andy Steward
  296	3432	Φ1009(2534)	2001	33.362%	David Broadhurst
  297	3429	Φ1051(1840)	2006	29.395%	Andy Steward
  298	3401	Φ1009(2365)	2001	31.076%	David Broadhurst
  299	3387	Φ1217(609)	2002	30.762%	Andy Steward
  300	3384	Φ937(4122)	2000	33.474%	Andy Steward
  301	3378	Φ1009(2244)	2000	33.342%	Andy Steward
  All legal examples with fewer than 3375 digits have been found and proved.
  302	3374	Φ1291(412)	2010	19.196%	Andy Steward
  303	3370	Φ1033(1840)	2010	21.779%	Andy Steward
  304	3366	Φ1033(1825)	2005	36.322%	Andy Steward
  305	3366	Φ1051(1603)	2007	31.027%	Andy Steward
  306	3363	Φ1019(2010)	2010	0.873%	Andy Steward
  307	3362	Φ1693(97)	2001	41.820%	Andy Steward
  308	3361	Φ1009(2155)	2000	33.514%	Andy Steward
  309	3356	Φ953(3349)	2010	13.727%	Andy Steward
  310	3354	Φ971(2867)	2001	41.482%	Andy Steward
  311	3352	Φ1019(1962)	2010	1.414%	Andy Steward
  312	3337	Φ1109(1026)	2010	1.597%	Andy Steward
  313	3334	Φ1117(970)	2010	20.065%	Andy Steward
  314	3329	Φ1109(1009)	2007	27.610%	Andy Steward
  315	3327	Φ911(4519)	2009	29.296%	Andy Steward
  316	3326	Φ971(2682)	2010	1.959%	Andy Steward
  317	3325	Φ937(3561)	2009	26.154%	Bernardo Boncompagni
  318	3319	Φ1013(1903)	2010	14.537%	Andy Steward
  319	3316	Φ1019(1806)	2010	1.535%	Andy Steward
  320	3313	Φ907(4530)	2010	3.569%	Andy Steward
  321	3310	Φ947(3154)	2010	12.349%	Andy Steward
  322	3306	Φ1013(1848)	2010	16.618%	Andy Steward
  323	3303	Φ997(2067)	2006	29.108%	Andy Steward
  324	3302	Φ997(2065)	2010	4.622%	Andy Steward
  325	3302	Φ947(3091)	2010	7.953%	Andy Steward
  326	3298	Φ937(3338)	2001	30.558%	David Broadhurst
  327	3298	Φ1061(1292)	2006	28.780%	Andy Steward
  328	3295	Φ911(4177)	2010	20.128%	Andy Steward
  329	3293	Φ1021(1692)	2008	27.006%	Andy Steward
  330	3286	Φ953(2828)	2010	24.679%	Andy Steward
  331	3286	Φ1187(589)	2002	50.398%	Andy Steward
  332	3280	Φ1381(238)	2006	28.798%	Andy Steward
  333	3277	Φ1087(1041)	2010	20.164%	Andy Steward
  334	3276	Φ1487(160)	2010	2.147%	Andy Steward
  335	3272	Φ1049(1324)	2010	2.154%	Andy Steward
  336	3270	Φ1381(234)	2010	24.263%	Andy Steward
  337	3264	Φ1013(1677)	2009	11.114%	Andy Steward
  338	3263	Φ929(3275)	2009	13.574%	Andy Steward
  339	3262	Φ1019(1598)	2009	2.097%	Andy Steward
  340	3260	Φ941(2937)	2009	23.701%	Andy Steward
  341	3256	Φ953(2631)	2009	17.343%	Andy Steward
  342	3250	Φ907(3858)	2009	3.207%	Andy Steward
  343	3248	Φ953(2578)	2009	16.890%	Andy Steward
  344	3245	Φ1051(1231)	2001	31.057%	Andy Steward
  345	3244	Φ907(3804)	2009	18.809%	Andy Steward
  346	3239	Φ907(3752)	2009	3.697%	Andy Steward
  347	3238	Φ1237(416)	2009	5.770%	Andy Steward
  348	3236	Φ977(2067)	2009	5.327%	Andy Steward
  349	3231	Φ1217(454)	2009	14.026%	Andy Steward
  350	3230	Φ1201(491)	2000	33.376%	David Broadhurst
  351	3228	Φ919(3282)	2001	58.846%	Andy Steward
  352	3228	Φ997(1740)	2009	6.002%	Andy Steward
  353	3227	Φ1049(1199)	2009	3.482%	Andy Steward
  354	3225	Φ1049(1194)	2009	2.006%	Andy Steward
  355	3225	Φ1069(1045)	2010	53.604%	Andy Steward
  356	3224	Φ1021(1447)	2001	30.535%	Andy Steward
  357	3223	Φ907(3607)	2009	4.266%	Andy Steward
  358	3219	Φ1021(1429)	2006	27.996%	Andy Steward
  359	3216	Φ977(1972)	2009	10.461%	Andy Steward
  360	3213	Φ977(1956)	2009	5.403%	Andy Steward
  361	3211	Φ1021(1405)	2001	40.611%	Andy Steward
  362	3209	Φ1061(1065)	2005	38.118%	Andy Steward
  363	3196	Φ977(1881)	2009	10.475%	Andy Steward
  364	3194	Φ1039(1194)	2009	3.110%	Andy Steward
  365	3191	Φ1033(1236)	2009	20.521%	Andy Steward
  366	3189	Φ1399(191)	2009	3.028%	Andy Steward
  367	3188	Φ1087(862)	2009	4.183%	Andy Steward
  368	3188	Φ937(2545)	2001	33.591%	David Broadhurst
  369	3187	Φ1109(751)	2009	2.168%	Andy Steward
  370	3181	Φ877(4274)	2001	37.646%	Andy Steward
  371	3179	Φ1009(1422)	2000	33.340%	Andy Steward
  372	3174	Φ919(2862)	2009	17.284%	Andy Steward
  373	3172	Φ1171(514)	2001	32.509%	David Broadhurst
  374	3167	Φ877(4121)	2009	5.514%	Andy Steward
  375	3164	Φ1061(965)	2009	17.246%	Andy Steward
  376	3163	Φ997(1496)	2009	23.675%	Andy Steward
  377	3159	Φ1019(1267)	2005	50.489%	Andy Steward
  378	3159	Φ883(3810)	2001	37.992%	Andy Steward
  379	3158	Φ883(3801)	2009	21.817%	Andy Steward
  380	3153	Φ967(1835)	2009	19.417%	Andy Steward
  381	3153	Φ1433(159)	2008	2.634%	Andy Steward
  382	3149	Φ919(2690)	2008	17.628%	Andy Steward
  383	3149	Φ1033(1124)	2008	21.662%	Andy Steward
  384	3147	Φ1223(376)	2008	11.086%	Andy Steward
  385	3135	Φ977(1627)	2001	33.259%	Andy Steward
  386	3134	Φ977(1625)	2008	5.598%	Andy Steward
  387	3116	Φ1549(103)	2008	33.081%	Andy Steward
  388	3109	Φ881(3409)	2008	21.257%	Andy Steward
  389	3108	Φ1009(1209)	2001	30.479%	David Broadhurst
  390	3106	Φ1223(348)	2001	10.924%	Giovanni & Marco La Barbera
  391	3104	Φ1097(679)	2008	15.106%	Andy Steward
  392	3104	Φ1091(703)	2008	7.409%	Andy Steward
  393	3103	Φ1009(1197)	2001	33.358%	David Broadhurst
  394	3095	Φ1069(790)	2008	5.053%	Andy Steward
  395	3094	Φ883(3219)	2008	22.079%	Andy Steward
  396	3094	Φ1021(1079)	2008	27.894%	Andy Steward
  397	3094	Φ1097(664)	2008	15.403%	Andy Steward
  398	3086	Φ863(3798)	2008	0.961%	Andy Steward
  399	3083	Φ991(1300)	2000	33.367%	Andy Steward
  400	3081	Φ907(2515)	2008	20.590%	Andy Steward
  401	3081	Φ929(2086)	2008	22.663%	Andy Steward
  402	3079	Φ2687(14)	2008	8.482%	Andy Steward
  403	3074	Φ853(4044)	2008	13.018%	Andy Steward
  404	3071	Φ971(1464)	2008	3.977%	Andy Steward
  405	3070	Φ853(4008)	2008	6.502%	Andy Steward
  406	3057	Φ1307(219)	2008	1.364%	Andy Steward
  407	3055	Φ1039(876)	2008	2.033%	Andy Steward
  408	3052	Φ1171(406)	2007	27.549%	Andy Steward
  409	3052	Φ853(3815)	2008	13.027%	Andy Steward
  410	3052	Φ881(2934)	2006	28.679%	Andy Steward
  411	3045	Φ919(2071)	2008	17.937%	Andy Steward
  412	3042	Φ967(1407)	2008	23.153%	Andy Steward
  413	3039	Φ947(1629)	2008	9.642%	Andy Steward
  414	3033	Φ887(2647)	2008	1.855%	Andy Steward
  415	3032	Φ2579(15)	2002	50.985%	Andy Steward
  416	3029	Φ839(4107)	2008	2.491%	Andy Steward
  417	3025	Φ877(2838)	2008	7.401%	Andy Steward
  418	3025	Φ839(4062)	2008	1.148%	Andy Steward
  419	3017	Φ857(3339)	2008	5.967%	Andy Steward
  420	3014	Φ1163(392)	2008	2.357%	Andy Steward
  421	3010	Φ907(2099)	2008	3.605%	Andy Steward
  422	3008	Φ887(2480)	2002	50.371%	Andy Steward
  423	3006	Φ877(2694)	2008	14.993%	Andy Steward
  424	3001	Φ911(1983)	2008	24.385%	Andy Steward
  425	2991	Φ1249(249)	2007	29.306%	Andy Steward
  426	2985	Φ1153(390)	2002	36.707%	Andy Steward
  427	2985	Φ1201(307)	2000	33.415%	Andy Steward
  428	2984	Φ1277(218)	2008	12.957%	Andy Steward
  429	2983	Φ1193(318)	2008	5.068%	Andy Steward
  430	2982	Φ853(3156)	2008	23.206%	Andy Steward
  431	2975	Φ1193(313)	2008	2.654%	Andy Steward
  432	2974	Φ1093(528)	2000	33.356%	Andy Steward
  433	2969	Φ839(3483)	2008	2.358%	Andy Steward
  434	2968	Φ907(1885)	2008	2.237%	Andy Steward
  435	2961	Φ887(2196)	2008	1.721%	Andy Steward
  436	2960	Φ829(3755)	2001	30.461%	Andy Steward
  437	2949	Φ829(3644)	2008	24.698%	Andy Steward
  438	2949	Φ1213(271)	2008	23.043%	Andy Steward
  439	2944	Φ823(3811)	2008	6.091%	Andy Steward
  440	2942	Φ947(1288)	2008	10.175%	Andy Steward
  441	2941	Φ1201(282)	2000	35.535%	Andy Steward
  442	2939	Φ997(892)	2008	5.239%	Andy Steward
  443	2939	Φ997(891)	2008	5.872%	Andy Steward
  444	2938	Φ829(3529)	2008	22.621%	Andy Steward
  445	2937	Φ1021(757)	2000	33.354%	Andy Steward
  446	2937	Φ877(2247)	2008	16.098%	Andy Steward
  447	2935	Φ829(3497)	2001	30.693%	Andy Steward
  448	2932	Φ947(1257)	2008	12.505%	Andy Steward
  449	2929	Φ1583(71)	2008	11.125%	Andy Steward
  450	2928	Φ857(2627)	2001	51.856%	Andy Steward
  451	2922	Φ1103(448)	2008	9.520%	Andy Steward
  452	2922	Φ991(893)	2001	33.386%	Andy Steward
  453	2914	Φ823(3504)	2008	2.851%	Andy Steward
  454	2909	Φ881(2021)	2001	37.911%	Andy Steward
  455	2906	Φ823(3429)	2008	2.701%	Andy Steward
  456	2906	Φ1151(336)	2008	17.328%	Andy Steward
  457	2902	Φ1409(115)	2008	24.556%	Andy Steward
  458	2901	Φ827(3251)	2008	3.620%	Andy Steward
  459	2901	Φ877(2047)	2008	13.051%	Andy Steward
  460	2900	Φ907(1588)	2008	4.445%	Andy Steward
  461	2899	Φ823(3359)	2008	4.265%	Andy Steward
  462	2898	Φ839(2869)	2002	50.119%	Andy Steward
  463	2879	Φ811(3578)	2007	27.636%	Andy Steward
  464	2869	Φ1039(580)	2008	3.575%	Andy Steward
  465	2860	Φ1289(166)	2008	14.491%	Andy Steward
  466	2860	Φ1009(686)	1994	36.842%	Harvey Dubner & Richard Brent
  467	2859	Φ863(2068)	2008	1.140%	Andy Steward
  468	2857	Φ829(2815)	2007	28.023%	Andy Steward
  469	2857	Φ827(2869)	2008	12.315%	Andy Steward
  470	2849	Φ859(2091)	2008	21.640%	Andy Steward
  471	2848	Φ821(2967)	2008	6.856%	Andy Steward
  472	2847	Φ1229(208)	2008	25.879%	Andy Steward
  473	2844	Φ827(2772)	2008	3.890%	Andy Steward
  474	2843	Φ829(2710)	2002	33.897%	Andy Steward
  475	2843	Φ919(1248)	2008	24.016%	Andy Steward
  476	2842	Φ881(1696)	2001	33.874%	Andy Steward
  477	2841	Φ797(3704)	2008	2.343%	Andy Steward
  478	2838	Φ809(3245)	2001	38.119%	Andy Steward
  479	2836	Φ1759(41)	2008	3.464%	Andy Steward
  480	2836	Φ797(3645)	2008	25.926%	Andy Steward
  481	2834	Φ859(2006)	2008	18.253%	Andy Steward
  482	2833	Φ971(832)	2008	12.495%	Andy Steward
  483	2833	Φ821(2844)	2008	24.237%	Andy Steward
  484	2831	Φ887(1565)	2008	0.917%	Andy Steward
  485	2826	Φ1109(355)	2008	4.087%	Andy Steward
  486	2821	Φ1093(383)	2008	25.156%	Andy Steward
  487	2817	Φ787(3828)	2008	2.922%	Andy Steward
  488	2816	Φ883(1557)	2008	11.260%	Andy Steward
  489	2814	Φ829(2497)	2002	32.959%	Andy Steward
  490	2812	Φ853(1997)	2008	5.345%	Andy Steward
  491	2810	Φ1091(378)	2008	7.024%	Andy Steward
  492	2808	Φ811(2927)	2008	22.472%	Andy Steward
  493	2807	Φ853(1970)	2008	20.920%	Andy Steward
  494	2807	Φ859(1867)	2008	23.396%	Andy Steward
  495	2805	Φ997(654)	2008	6.951%	Andy Steward
  496	2804	Φ827(2476)	2008	11.977%	Andy Steward
  497	2801	Φ857(1871)	2008	15.469%	Andy Steward
  498	2794	Φ829(2362)	2005	30.343%	Andy Steward
  499	2793	Φ839(2150)	2008	2.910%	Andy Steward
  500	2792	Φ853(1889)	2008	20.759%	Andy Steward
  501	2790	Φ787(3542)	2008	3.019%	Andy Steward
  502	2789	Φ829(2332)	2001	38.488%	Andy Steward
  503	2788	Φ839(2123)	2008	1.603%	Andy Steward
  504	2785	Φ811(2738)	2006	28.168%	Andy Steward
  505	2785	Φ1103(336)	2008	9.834%	Andy Steward
  506	2782	Φ821(2468)	2008	6.360%	Andy Steward
  507	2778	Φ967(751)	2000	40.048%	Andy Steward
  508	2776	Φ883(1404)	2008	24.088%	Andy Steward
  509	2773	Φ829(2228)	2008	15.358%	Andy Steward
  510	2771	Φ1061(411)	2008	15.603%	Andy Steward
  511	2770	Φ797(3016)	2008	0.786%	Andy Steward
  512	2770	Φ821(2385)	2008	16.236%	Andy Steward
  513	2767	Φ937(904)	2000	36.495%	Andy Steward
  514	2761	Φ997(591)	2008	23.503%	Andy Steward
  515	2761	Φ1039(456)	2008	1.961%	Andy Steward
  516	2759	Φ787(3237)	2002	52.619%	Andy Steward
  517	2759	Φ823(2268)	2008	2.901%	Andy Steward
  518	2757	Φ1237(170)	2006	28.045%	Andy Steward
  519	2754	Φ929(927)	2006	28.727%	Andy Steward
  520	2753	Φ937(873)	2001	31.380%	David Broadhurst
  521	2749	Φ821(2249)	2008	15.284%	Andy Steward
  522	2749	Φ997(575)	2000	33.339%	Andy Steward
  523	2748	Φ863(1539)	2008	2.796%	Andy Steward
  524	2744	Φ811(2440)	2001	35.673%	Andy Steward
  525	2740	Φ887(1236)	2008	1.319%	Andy Steward
  526	2739	Φ797(2754)	2008	3.256%	Andy Steward
  527	2736	Φ787(3026)	2008	4.296%	Andy Steward
  528	2732	Φ937(828)	2001	33.314%	David Broadhurst
  529	2731	Φ881(1267)	2008	23.314%	Andy Steward
  530	2728	Φ839(1796)	2008	0.346%	Andy Steward
  531	2726	Φ787(2936)	2008	1.619%	Andy Steward
  532	2726	Φ773(3391)	2008	0.841%	Andy Steward
  533	2725	Φ769(3532)	2006	27.945%	Andy Steward
  534	2722	Φ787(2903)	2008	3.128%	Andy Steward
  535	2716	Φ919(908)	2000	34.853%	Andy Steward
  536	2714	Φ1487(67)	2008	2.564%	Andy Steward
  537	2713	Φ811(2233)	2001	30.004%	Andy Steward
  538	2709	Φ821(2012)	2008	25.936%	Andy Steward
  539	2708	Φ911(945)	2008	24.497%	Andy Steward
  540	2708	Φ929(827)	2008	21.682%	Andy Steward
  541	2708	Φ1571(53)	2008	3.600%	Andy Steward
  542	2705	Φ941(754)	2008	16.550%	Andy Steward
  543	2697	Φ797(2439)	2008	2.557%	Andy Steward
  544	2695	Φ757(3663)	2008	26.764%	Andy Steward
  545	2694	Φ1213(167)	2008	17.046%	Andy Steward
  546	2692	Φ773(3062)	2008	1.942%	Andy Steward
  547	2690	Φ997(501)	2008	12.823%	Andy Steward
  548	2689	Φ1109(267)	2008	1.015%	Andy Steward
  549	2683	Φ857(1361)	2008	4.781%	Andy Steward
  550	2681	Φ787(2575)	2008	3.779%	Andy Steward
  551	2680	Φ761(3355)	2006	29.139%	Andy Steward
  552	2674	Φ811(1999)	2008	22.335%	Andy Steward
  553	2668	Φ947(661)	2008	13.719%	Andy Steward
  554	2665	Φ751(3565)	2008	17.449%	Andy Steward
  555	2656	Φ839(1476)	2008	0.861%	Andy Steward
  556	2655	Φ787(2387)	2008	5.297%	Andy Steward
  557	2648	Φ1231(142)	2008	14.314%	Andy Steward
  558	2648	Φ809(1889)	2008	5.329%	Andy Steward
  559	2647	Φ911(809)	2008	25.616%	Andy Steward
  560	2646	Φ757(3158)	2000	33.612%	Andy Steward
  561	2644	Φ887(964)	2001	51.060%	Andy Steward
  562	2643	Φ757(3133)	2000	33.365%	Andy Steward
  563	2643	Φ751(3336)	2008	22.434%	Andy Steward
  564	2642	Φ857(1220)	2008	2.326%	Andy Steward
  565	2642	Φ1789(30)	2000	25.393%	Giovanni & Marco La Barbera
  566	2640	Φ787(2279)	2001	33.332%	Andy Steward
  567	2633	Φ751(3234)	2007	34.156%	Andy Steward
  568	2630	Φ751(3211)	2008	17.361%	Andy Steward
  569	2616	Φ859(1118)	2001	31.395%	Andy Steward
  570	2614	Φ877(962)	2008	6.341%	Andy Steward
  571	2614	Φ743(3325)	2008	11.113%	Andy Steward
  572	2614	Φ911(744)	2000	38.522%	Andy Steward
  573	2608	Φ1039(325)	2008	22.094%	Andy Steward
  574	2607	Φ827(1431)	2008	10.216%	Andy Steward
  575	2605	Φ1201(148)	2001	32.337%	David Broadhurst
  576	2604	Φ751(2959)	2001	31.875%	Andy Steward
  577	2604	Φ809(1666)	2008	3.533%	Andy Steward
  578	2597	Φ739(3297)	2008	18.138%	Andy Steward
  579	2597	Φ757(2716)	2001	31.359%	David Broadhurst
  580	2596	Φ823(1438)	2008	3.935%	Andy Steward
  581	2596	Φ1093(238)	2001	31.815%	Andy Steward
  582	2592	Φ991(415)	2000	37.272%	Andy Steward
  583	2591	Φ811(1576)	2001	33.428%	Andy Steward
  584	2589	Φ751(2831)	2008	18.457%	Andy Steward
  585	2580	Φ761(2478)	2008	17.847%	Andy Steward
  586	2579	Φ773(2186)	2008	2.421%	Andy Steward
  587	2579	Φ983(422)	2008	0.674%	Andy Steward
  588	2575	Φ881(842)	2000	33.622%	Andy Steward
  589	2573	Φ877(865)	2008	7.159%	Andy Steward
  590	2570	Φ859(987)	2008	18.525%	Andy Steward
  591	2569	Φ827(1288)	2008	11.354%	Andy Steward
  592	2569	Φ881(830)	2000	33.534%	Andy Steward
  593	2567	Φ773(2108)	2008	5.572%	Andy Steward
  594	2563	Φ769(2173)	2008	25.209%	Andy Steward
  595	2562	Φ811(1455)	2007	27.205%	Andy Steward
  596	2562	Φ823(1305)	2008	5.183%	Andy Steward
  597	2555	Φ751(2544)	2008	17.970%	Andy Steward
  598	2554	Φ739(2886)	2007	28.392%	Andy Steward
  599	2545	Φ733(2992)	2008	24.162%	Andy Steward
  600	2541	Φ967(427)	2001	46.997%	Andy Steward
  601	2539	Φ1009(330)	2000	33.430%	Andy Steward
  602	2538	Φ797(1541)	2008	2.916%	Andy Steward
  603	2532	Φ811(1335)	2008	19.156%	Andy Steward
  604	2512	Φ757(2097)	2001	31.339%	David Broadhurst
  605	2510	Φ1019(292)	2008	1.522%	Andy Steward
  606	2508	Φ733(2666)	2008	13.851%	Andy Steward
  607	2507	Φ1181(133)	2008	15.050%	Andy Steward
  608	2507	Φ821(1138)	2008	11.625%	Andy Steward
  609	2505	Φ733(2637)	2001	38.431%	Andy Steward
  610	2503	Φ829(1054)	2007	28.753%	Andy Steward
  611	2501	Φ881(695)	2000	37.261%	Andy Steward
  612	2498	Φ1061(227)	2008	13.140%	Andy Steward
  613	2494	Φ787(1489)	2008	4.784%	Andy Steward
  614	2493	Φ797(1353)	2008	5.188%	Andy Steward
  615	2493	Φ1171(135)	2001	33.380%	Andy Steward
  616	2492	Φ1019(280)	2008	1.813%	Andy Steward
  617	2480	Φ743(2194)	2008	11.355%	Andy Steward
  618	2476	Φ701(3435)	2001	33.558%	Andy Steward
  619	2475	Φ751(1994)	2008	16.081%	Andy Steward
  620	2472	Φ739(2233)	2008	14.189%	Andy Steward
  621	2468	Φ739(2204)	2008	13.832%	Andy Steward
  622	2466	Φ887(607)	2008	3.147%	Andy Steward
  623	2465	Φ733(2329)	2008	25.682%	Andy Steward
  624	2463	Φ941(417)	2008	13.848%	Andy Steward
  625	2459	Φ821(997)	2008	15.605%	Andy Steward
  626	2459	Φ757(1788)	2000	33.626%	Andy Steward
  627	2457	Φ701(3227)	2001	34.170%	Andy Steward
  628	2451	Φ701(3167)	2005	33.407%	Tom Wu
  629	2444	Φ709(2824)	2008	5.159%	Andy Steward
  630	2442	Φ709(2810)	2001	30.147%	Andy Steward
  631	2439	Φ887(566)	2008	1.748%	Andy Steward
  632	2438	Φ769(1491)	2008	25.994%	Andy Steward
  633	2438	Φ701(3030)	2006	28.494%	Andy Steward
  634	2437	Φ719(2475)	2008	2.308%	Andy Steward
  635	2432	Φ821(923)	2008	25.582%	Andy Steward
  636	2429	Φ1193(109)	2008	4.213%	Andy Steward
  637	2426	Φ907(476)	2008	4.015%	Andy Steward
  638	2418	Φ701(2840)	2001	33.230%	Andy Steward
  639	2416	Φ883(548)	2001	33.404%	Andy Steward
  640	2413	Φ839(756)	2008	1.212%	Andy Steward
  641	2402	Φ719(2211)	2008	2.516%	Andy Steward
  642	2400	Φ1087(162)	2008	3.673%	Andy Steward
  643	2398	Φ773(1276)	2008	1.638%	Andy Steward
  644	2397	Φ727(1999)	2001	33.965%	Andy Steward
  645	2393	Φ701(2618)	2001	33.588%	Andy Steward
  646	2393	Φ757(1459)	2008	31.099%	Andy Steward
  647	2388	Φ821(816)	2008	14.479%	Andy Steward
  648	2388	Φ709(2354)	2008	14.539%	Andy Steward
  649	2385	Φ739(1701)	2008	19.175%	Andy Steward
  650	2382	Φ829(753)	2006	29.482%	Andy Steward
  651	2381	Φ3407(5)	2005	10.989%	Tom Wu
  652	2376	Φ683(3044)	2008	13.576%	Andy Steward
  653	2375	Φ739(1649)	2007	27.599%	Andy Steward
  654	2366	Φ1181(101)	2000	16.567%	Hans Rosenthal & Tony Forbes
  655	2363	Φ673(3277)	2001	33.370%	Andy Steward
  656	2363	Φ827(724)	2008	6.050%	Andy Steward
  657	2363	Φ733(1686)	2001	30.169%	Andy Steward
  658	2360	Φ827(719)	2008	17.045%	Andy Steward
  659	2358	Φ761(1264)	2008	27.054%	Andy Steward
  660	2354	Φ809(818)	2008	3.201%	Andy Steward
  661	2349	Φ811(794)	2007	30.121%	Andy Steward
  662	2349	Φ709(2072)	2008	7.715%	Andy Steward
  663	2345	Φ757(1263)	2001	32.125%	David Broadhurst
  664	2340	Φ701(2195)	2008	26.811%	Andy Steward
  665	2338	Φ769(1107)	2006	29.459%	Andy Steward
  666	2336	Φ839(612)	2008	1.538%	Andy Steward
  667	2333	Φ821(700)	2008	18.399%	Andy Steward
  668	2328	Φ967(257)	2000	33.336%	Andy Steward
  669	2311	Φ727(1524)	2008	9.685%	Andy Steward
  670	2309	Φ691(2214)	2008	21.769%	Andy Steward
  671	2308	Φ839(567)	2008	2.020%	Andy Steward
  672	2302	Φ839(558)	2008	1.800%	Andy Steward
  673	2300	Φ733(1386)	2008	14.814%	Andy Steward
  674	2291	Φ653(3260)	2008	1.571%	Andy Steward
  675	2288	Φ683(2262)	2008	13.397%	Andy Steward
  676	2286	Φ683(2248)	2001	43.243%	Andy Steward
  677	2285	Φ1493(34)	2008	2.276%	Andy Steward
  678	2276	Φ751(1080)	2006	44.480%	Andy Steward
  679	2272	Φ947(252)	2000	43.619%	Andy Steward
  680	2272	Φ709(1614)	2008	13.740%	Andy Steward
  681	2269	Φ733(1256)	2008	17.896%	Andy Steward
  682	2269	Φ971(218)	1997	39.429%	Carlos Rivera
  683	2267	Φ859(438)	2001	31.195%	Andy Steward
  684	2267	Φ751(1051)	2001	33.905%	Andy Steward
  685	2260	Φ701(1689)	2002	45.005%	Andy Steward
  686	2252	Φ953(232)	2001	32.598%	Andy Steward
  687	2252	Φ751(1004)	2008	22.309%	Andy Steward
  688	2244	Φ853(430)	2008	14.483%	Andy Steward
  689	2244	Φ811(588)	2000	33.353%	Andy Steward
  690	2243	Φ887(340)	2008	2.091%	Andy Steward
  691	2243	Φ677(2076)	2008	13.887%	Andy Steward
  692	2242	Φ683(1932)	2008	13.565%	Andy Steward
  693	2241	Φ683(1929)	2008	14.168%	Andy Steward
  694	2238	Φ941(240)	2008	18.433%	Andy Steward
  695	2237	Φ661(2443)	2001	33.599%	Andy Steward
  696	2233	Φ659(2469)	2008	4.208%	Andy Steward
  697	2228	Φ673(2066)	2001	32.827%	Andy Steward
  698	2227	Φ647(2800)	2008	11.779%	Andy Steward
  699	2225	Φ643(2912)	2008	17.572%	Andy Steward
  700	2224	Φ691(1670)	2001	34.806%	Andy Steward
  701	2223	Φ647(2760)	2008	13.558%	Andy Steward
  702	2222	Φ691(1660)	2008	24.345%	Andy Steward
  703	2222	Φ701(1492)	2006	28.679%	Andy Steward
  704	2220	Φ647(2724)	2008	12.326%	Andy Steward
  705	2218	Φ661(2288)	2001	33.391%	Andy Steward
  706	2216	Φ643(2827)	2008	7.045%	Andy Steward
  707	2215	Φ673(1974)	2001	35.587%	Andy Steward
  708	2205	Φ647(2584)	2008	13.525%	Andy Steward
  709	2197	Φ709(1267)	2008	25.535%	Andy Steward
  710	2195	Φ673(1842)	2001	33.349%	Andy Steward
  711	2194	Φ677(1760)	2008	10.033%	Andy Steward
  712	2190	Φ739(927)	2000	43.748%	Andy Steward
  713	2189	Φ1303(48)	2008	19.543%	Andy Steward
  714	2186	Φ643(2537)	2008	19.764%	Andy Steward
  715	2185	Φ787(602)	2008	3.310%	Andy Steward
  716	2184	Φ761(746)	2002	29.536%	Andy Steward
  717	2181	Φ631(2887)	2001	33.408%	Andy Steward
  718	2180	Φ727(1004)	2008	12.605%	Andy Steward
  719	2169	Φ769(667)	2007	30.203%	Andy Steward
  720	2167	Φ757(733)	2000	33.377%	Andy Steward
  721	2158	Φ643(2296)	2008	3.051%	Andy Steward
  722	2157	Φ647(2179)	2008	12.845%	Andy Steward
  723	2157	Φ677(1548)	2008	10.132%	Andy Steward
  724	2154	Φ1009(137)	1994	33.579%	Harvey Dubner & Richard Brent
  725	2147	Φ881(275)	2001	32.890%	David Broadhurst
  726	2146	Φ811(445)	2000	33.444%	Andy Steward
  727	2145	Φ619(2951)	2008	4.667%	Andy Steward
  728	2144	Φ643(2184)	2008	19.851%	Andy Steward
  729	2140	Φ1319(42)	2008	1.373%	Andy Steward
  730	2140	Φ631(2485)	2000	33.388%	Andy Steward
  731	2133	Φ797(477)	2008	5.167%	Andy Steward
  732	2132	Φ617(2887)	2006	28.877%	Andy Steward
  733	2129	Φ983(147)	2008	3.458%	Andy Steward
  734	2122	Φ677(1377)	2008	9.481%	Andy Steward
  735	2122	Φ701(1073)	2006	27.779%	Andy Steward
  736	2122	Φ883(254)	2000	36.144%	Andy Steward
  737	2115	Φ613(2853)	2001	33.402%	Andy Steward
  738	2112	Φ2029(11)	2006	27.155%	Andy Steward
  739	2110	Φ677(1318)	2008	10.026%	Andy Steward
  740	2109	Φ769(556)	2002	29.730%	Andy Steward
  741	2108	Φ607(3009)	2008	6.423%	Andy Steward
  742	2105	Φ641(1943)	2006	23.537%	Andy Steward
  743	2103	Φ661(1534)	2001	33.517%	Andy Steward
  744	2103	Φ991(133)	2000	33.501%	Andy Steward
  745	2101	Φ691(1108)	2006	22.229%	Andy Steward
  746	2101	Φ617(2566)	2001	33.393%	Andy Steward
  747	2101	Φ661(1520)	2001	33.365%	Andy Steward
  748	2096	Φ701(985)	2001	33.358%	Andy Steward
  749	2095	Φ607(2861)	2006	5.382%	Andy Steward
  750	2093	Φ673(1301)	2001	33.360%	Andy Steward
  751	2091	Φ619(2418)	2006	4.340%	Andy Steward
  752	2082	Φ661(1424)	2001	35.534%	Andy Steward
  753	2076	Φ839(300)	2006	0.902%	Andy Steward
  754	2073	Φ661(1382)	2001	33.437%	Andy Steward
  755	2073	Φ631(1949)	2000	33.430%	Andy Steward
  756	2072	Φ647(1611)	2006	13.728%	Andy Steward
  757	2067	Φ607(2571)	2006	13.274%	Andy Steward
  758	2067	Φ1069(86)	2006	27.691%	Andy Steward
  759	2067	Φ613(2376)	2001	30.954%	Andy Steward
  760	2064	Φ661(1338)	2001	33.047%	Andy Steward
  761	2064	Φ709(821)	2006	21.411%	Andy Steward
  762	2059	Φ601(2693)	2000	36.545%	Andy Steward
  763	2058	Φ1423(28)	2006	16.269%	Andy Steward
  764	2058	Φ613(2300)	2001	33.469%	Andy Steward
  765	2057	Φ691(955)	2002	30.736%	Andy Steward
  766	2057	Φ607(2472)	2006	3.826%	Andy Steward
  767	2054	Φ751(547)	2006	24.589%	Andy Steward
  768	2053	Φ811(342)	2006	26.367%	Andy Steward
  769	2048	Φ911(178)	2006	26.060%	Andy Steward
  770	2045	Φ1277(40)	2006	17.255%	Andy Steward
  771	2044	Φ769(458)	2000	35.771%	Andy Steward
  772	2038	Φ677(1034)	2006	10.846%	Andy Steward
  773	2038	Φ701(814)	2000	33.393%	Andy Steward
  774	2037	Φ787(390)	2006	3.691%	Andy Steward
  775	2036	Φ619(1970)	2006	7.823%	Andy Steward
  776	2034	Φ643(1469)	2001	53.889%	Andy Steward
  777	2032	Φ631(1678)	2000	33.386%	Andy Steward
  778	2028	Φ587(2880)	2001	47.722%	Andy Steward
  779	2026	Φ739(555)	2006	25.797%	Andy Steward
  780	2025	Φ743(535)	2006	10.055%	Andy Steward
  781	2020	Φ661(1148)	2001	33.640%	Andy Steward
  782	2017	Φ787(368)	2006	20.324%	Andy Steward
  783	2016	Φ733(566)	2002	53.789%	Andy Steward
  784	2015	Φ829(271)	2006	26.890%	Andy Steward
  785	2013	Φ617(1848)	2001	33.394%	Andy Steward
  786	2012	Φ613(1937)	2006	26.519%	Andy Steward
  787	2012	Φ587(2705)	2006	3.502%	Andy Steward
  788	2006	Φ593(2446)	2006	18.139%	Andy Steward
  789	2003	Φ613(1871)	2006	24.290%	Andy Steward
  790	2002	Φ1297(35)	1994	33.456%	Harvey Dubner & Richard Brent
  791	1999	Φ613(1845)	2006	27.941%	Andy Steward
  792	1993	Φ4177(3)	1994	33.706%	Harvey Dubner & Richard Brent
  793	1991	Φ631(1443)	2000	33.379%	Andy Steward
  794	1989	Φ601(2061)	2000	33.490%	Andy Steward
  795	1987	Φ587(2458)	2006	2.254%	Andy Steward
  796	1986	Φ641(1267)	2002	25.501%	Andy Steward
  797	1985	Φ1907(11)	2006	2.915%	Andy Steward
  798	1980	Φ647(1161)	2006	12.546%	Andy Steward
  799	1977	Φ701(667)	2006	27.152%	Andy Steward
  800	1975	Φ587(2343)	2006	1.237%	Andy Steward
  801	1972	Φ673(859)	2000	38.973%	Andy Steward
  802	1972	Φ643(1177)	2006	19.551%	Andy Steward
  803	1972	Φ599(1977)	2006	13.758%	Andy Steward
  804	1965	Φ571(2791)	2001	33.411%	Andy Steward
  805	1964	Φ593(2077)	2006	19.475%	Andy Steward
  806	1964	Φ607(1739)	2006	22.169%	Andy Steward
  807	1962	Φ617(1530)	2001	38.517%	Andy Steward
  808	1958	Φ587(2190)	2006	2.208%	Andy Steward
  809	1957	Φ607(1692)	2006	7.659%	Andy Steward
  810	1954	Φ571(2670)	2006	28.512%	Andy Steward
  811	1953	Φ659(927)	2006	14.087%	Andy Steward
  812	1953	Φ677(772)	2006	10.851%	Andy Steward
  813	1950	Φ607(1651)	2006	6.870%	Andy Steward
  814	1944	Φ571(2573)	2006	27.462%	Andy Steward
  815	1941	Φ587(2052)	2006	0.827%	Andy Steward
  816	1940	Φ709(549)	2006	15.259%	Andy Steward
  817	1937	Φ617(1394)	2001	33.335%	Andy Steward
  818	1934	Φ1487(20)	2006	0.300%	Andy Steward
  819	1931	Φ643(1017)	2006	5.086%	Andy Steward
  820	1930	Φ743(398)	2006	17.530%	Andy Steward
  821	1920	Φ647(935)	2006	14.560%	Andy Steward
  822	1917	Φ587(1864)	2006	1.624%	Andy Steward
  823	1916	Φ821(217)	2006	15.472%	Andy Steward
  824	1915	Φ661(797)	2000	33.422%	Andy Steward
  825	1913	Φ587(1837)	2006	2.805%	Andy Steward
  826	1912	Φ643(950)	2006	5.171%	Andy Steward
  827	1911	Φ613(1322)	2001	31.849%	Andy Steward
  828	1909	Φ829(202)	1997	47.041%	Carlos Rivera
  829	1908	Φ599(1549)	2001	43.440%	Andy Steward
  830	1907	Φ587(1789)	2006	1.539%	Andy Steward
  831	1906	Φ607(1394)	2006	5.285%	Andy Steward
  832	1905	Φ587(1780)	2005	2.632%	Andy Steward
  833	1903	Φ563(2429)	2005	2.756%	Andy Steward
  834	1896	Φ557(2569)	2005	3.857%	Andy Steward
  835	1896	Φ587(1714)	2005	0.659%	Andy Steward
  836	1895	Φ587(1710)	2005	2.681%	Andy Steward
  837	1895	Φ587(1709)	2005	1.653%	Andy Steward
  838	1894	Φ569(2154)	2005	4.176%	Andy Steward
  839	1891	Φ661(732)	2000	34.589%	Andy Steward
  840	1889	Φ593(1549)	2005	19.492%	Andy Steward
  841	1886	Φ593(1531)	2005	24.078%	Andy Steward
  842	1883	Φ563(2236)	2005	1.117%	Andy Steward
  843	1871	Φ563(2130)	2005	2.319%	Andy Steward
  844	1871	Φ547(2661)	2001	33.474%	Andy Steward
  845	1869	Φ547(2646)	2005	23.680%	Andy Steward
  846	1868	Φ1013(70)	2005	21.022%	Andy Steward
  847	1865	Φ547(2600)	2005	28.902%	Andy Steward
  848	1861	Φ577(1697)	2000	33.333%	Andy Steward
  849	1861	Φ599(1290)	2005	11.855%	Andy Steward
  850	1854	Φ719(382)	2005	2.040%	Andy Steward
  851	1853	Φ857(146)	2005	15.076%	Andy Steward
  852	1852	Φ569(1820)	2005	16.015%	Andy Steward
  853	1851	Φ569(1809)	2005	16.499%	Andy Steward
  854	1842	Φ683(501)	2001	57.155%	Andy Steward
  855	1841	Φ683(500)	2000	42.987%	Andy Steward
  856	1841	Φ557(2039)	2005	5.077%	Andy Steward
  857	1838	Φ557(2020)	2005	2.958%	Andy Steward
  858	1838	Φ607(1075)	2005	5.143%	Andy Steward
  859	1830	Φ823(168)	2005	5.748%	Andy Steward
  860	1829	Φ577(1495)	2000	33.382%	Andy Steward
  861	1829	Φ577(1492)	2001	33.448%	Andy Steward
  862	1828	Φ541(2426)	2000	33.474%	Andy Steward
  863	1815	Φ569(1568)	2005	7.793%	Andy Steward
  864	1812	Φ619(853)	2005	8.873%	Andy Steward
  865	1811	Φ607(973)	2005	20.054%	Andy Steward
  866	1811	Φ577(1389)	2000	33.622%	Andy Steward
  867	1805	Φ557(1757)	2005	5.222%	Andy Steward
  868	1804	Φ613(886)	2000	33.662%	Andy Steward
  869	1802	Φ547(1994)	2001	33.395%	Andy Steward
  870	1801	Φ643(638)	2005	6.204%	Andy Steward
  871	1788	Φ541(2044)	2000	51.657%	Andy Steward
  872	1784	Φ587(1105)	2005	3.430%	Andy Steward
  873	1781	Φ547(1824)	2005	23.794%	Andy Steward
  874	1779	Φ631(665)	2000	33.781%	Andy Steward
  875	1779	Φ541(1962)	2000	33.376%	Andy Steward
  876	1776	Φ599(933)	2005	15.375%	Andy Steward
  877	1774	Φ587(1062)	2005	1.973%	Andy Steward
  878	1768	Φ547(1730)	2001	33.477%	Andy Steward
  879	1768	Φ563(1396)	2005	3.486%	Andy Steward
  880	1768	Φ523(2429)	2005	27.670%	Andy Steward
  881	1767	Φ673(425)	2000	33.740%	Andy Steward
  882	1761	Φ607(805)	2005	21.354%	Andy Steward
  883	1761	Φ719(283)	2000	48.471%	Andy Steward
  884	1753	Φ569(1216)	2005	7.085%	Andy Steward
  885	1751	Φ571(1177)	2001	33.802%	Andy Steward
  886	1750	Φ751(215)	2005	24.187%	Andy Steward
  887	1748	Φ563(1285)	2005	2.478%	Andy Steward
  888	1747	Φ569(1190)	2005	5.792%	Andy Steward
  889	1743	Φ617(674)	2001	31.082%	Andy Steward
  890	1741	Φ557(1348)	2005	2.181%	Andy Steward
  891	1736	Φ557(1321)	2001	46.409%	Andy Steward
  892	1733	Φ571(1093)	2001	33.370%	Andy Steward
  893	1731	Φ521(2128)	2001	36.923%	Andy Steward
  894	1730	Φ541(1595)	2000	33.558%	Andy Steward
  895	1730	Φ587(893)	2005	3.230%	Andy Steward
  896	1728	Φ521(2103)	2001	60.997%	Andy Steward
  897	1727	Φ617(635)	2000	33.857%	Andy Steward
  898	1723	Φ709(271)	2005	17.381%	Andy Steward
  899	1722	Φ541(1540)	2000	33.471%	Andy Steward
  900	1721	Φ563(1153)	2005	3.583%	Andy Steward
  901	1720	Φ613(644)	2000	33.854%	Andy Steward
  902	1718	Φ593(798)	2000	36.306%	Andy Steward
  903	1718	Φ613(641)	2000	33.458%	Andy Steward
  904	1716	Φ509(2382)	2005	6.596%	Andy Steward
  905	1715	Φ587(843)	2005	4.182%	Andy Steward
  906	1715	Φ827(119)	2005	16.819%	Andy Steward
  907	1714	Φ587(838)	2005	1.172%	Andy Steward
  908	1712	Φ541(1479)	2000	34.524%	Andy Steward
  909	1708	Φ557(1180)	2005	6.940%	Andy Steward
  910	1705	Φ541(1432)	2000	33.539%	Andy Steward
  911	1692	Φ571(929)	2000	39.219%	Andy Steward
  912	1685	Φ701(255)	2000	33.360%	Andy Steward
  913	1685	Φ499(2410)	2005	19.417%	Andy Steward
  914	1676	Φ503(2178)	2005	2.685%	Andy Steward
  915	1673	Φ499(2282)	2005	5.708%	Andy Steward
  916	1671	Φ509(1939)	2005	5.640%	Andy Steward
  917	1666	Φ659(340)	2005	18.423%	Andy Steward
  918	1666	Φ503(2076)	2005	2.961%	Andy Steward
  919	1665	Φ557(984)	2005	6.269%	Andy Steward
  920	1663	Φ547(1109)	2005	23.373%	Andy Steward
  921	1661	Φ563(902)	2000	48.320%	Andy Steward
  922	1655	Φ587(666)	2005	1.644%	Andy Steward
  923	1649	Φ569(800)	2005	12.595%	Andy Steward
  924	1639	Φ619(448)	2005	3.723%	Andy Steward
  925	1637	Φ569(762)	2005	17.507%	Andy Steward
  926	1637	Φ701(218)	2000	33.896%	Andy Steward
  927	1630	Φ599(530)	2005	14.883%	Andy Steward
  928	1627	Φ509(1592)	2005	3.191%	Andy Steward
  929	1623	Φ563(772)	2005	1.944%	Andy Steward
  930	1622	Φ509(1553)	2005	8.636%	Andy Steward
  931	1620	Φ647(321)	2000	42.327%	Andy Steward
  932	1605	Φ479(2270)	2005	4.749%	Andy Steward
  933	1603	Φ569(662)	2005	16.172%	Andy Steward
  934	1600	Φ491(1840)	2005	30.571%	Andy Steward
  935	1595	Φ479(2171)	2005	2.113%	Andy Steward
  936	1593	Φ479(2147)	2005	2.918%	Andy Steward
  937	1590	Φ613(395)	2000	33.394%	Andy Steward
  938	1588	Φ521(1131)	2001	38.741%	Andy Steward
  939	1583	Φ541(852)	2000	35.327%	Andy Steward
  940	1577	Φ599(433)	2005	13.579%	Andy Steward
  941	1572	Φ521(1053)	2001	33.894%	Andy Steward
  942	1568	Φ499(1406)	2005	23.425%	Andy Steward
  943	1567	Φ571(561)	2000	33.704%	Andy Steward
  944	1566	Φ563(611)	2005	4.575%	Andy Steward
  945	1564	Φ509(1194)	2005	2.066%	Andy Steward
  946	1560	Φ467(2225)	2005	2.082%	Andy Steward
  947	1560	Φ521(998)	2000	33.630%	Andy Steward
  948	1556	Φ541(761)	2000	33.415%	Andy Steward
  949	1556	Φ523(954)	2005	29.411%	Andy Steward
  950	1554	Φ613(345)	2000	33.881%	Andy Steward
  951	1551	Φ619(323)	2005	4.898%	Andy Steward
  952	1550	Φ467(2113)	2001	45.778%	Andy Steward
  953	1546	Φ479(1713)	2005	3.398%	Andy Steward
  954	1544	Φ547(672)	2005	25.090%	Andy Steward
  955	1544	Φ599(381)	2005	14.817%	Andy Steward
  956	1541	Φ479(1670)	2005	2.605%	Andy Steward
  957	1541	Φ461(2229)	2001	33.544%	Andy Steward
  958	1532	Φ673(190)	1994	33.678%	Harvey Dubner & Richard Brent
  959	1532	Φ467(1932)	2005	2.933%	Andy Steward
  960	1531	Φ617(305)	2000	33.342%	Andy Steward
  961	1529	Φ491(1315)	2001	32.682%	Andy Steward
  962	1527	Φ467(1886)	2005	2.184%	Andy Steward
  963	1526	Φ457(2216)	2005	26.753%	Andy Steward
  964	1526	Φ467(1877)	2005	2.586%	Andy Steward
  965	1522	Φ521(842)	2000	33.965%	Andy Steward
  966	1520	Φ541(651)	2000	34.039%	Andy Steward
  967	1518	Φ523(806)	2002	30.504%	Andy Steward
  968	1517	Φ541(643)	2000	33.629%	Andy Steward
  969	1515	Φ461(1956)	2001	34.910%	Andy Steward
  970	1510	Φ457(2044)	2001	31.732%	Andy Steward
  971	1503	Φ467(1679)	2005	0.903%	Andy Steward
  972	1499	Φ503(967)	2005	2.764%	Andy Steward
  973	1495	Φ593(335)	2005	21.825%	Andy Steward
  974	1494	Φ463(1707)	2001	46.119%	Andy Steward
  975	1492	Φ509(864)	2005	28.500%	Andy Steward
  976	1492	Φ449(2133)	2001	36.907%	Andy Steward
  977	1487	Φ457(1818)	2005	26.251%	Andy Steward
  978	1487	Φ547(527)	2005	22.953%	Andy Steward
  979	1484	Φ541(559)	2000	34.916%	Andy Steward
  980	1483	Φ503(899)	2005	2.873%	Andy Steward
  981	1481	Φ449(2020)	2001	30.577%	Andy Steward
  982	1479	Φ457(1751)	2001	33.769%	Andy Steward
  983	1474	Φ479(1212)	2005	2.531%	Andy Steward
  984	1470	Φ457(1671)	2001	33.419%	Andy Steward
  985	1464	Φ503(824)	2005	3.684%	Andy Steward
  986	1463	Φ643(190)	2002	4.063%	Andy Steward
  987	1463	Φ479(1149)	2005	2.182%	Andy Steward
  988	1461	Φ547(473)	2002	26.553%	Andy Steward
  989	1459	Φ839(55)	2005	4.484%	Andy Steward
  990	1457	Φ557(417)	2002	3.430%	Andy Steward
  991	1457	Φ709(114)	2000	38.328%	Andy Steward
  992	1455	Φ619(226)	2005	22.575%	Andy Steward
  993	1455	Φ461(1453)	2001	33.970%	Andy Steward
  994	1452	Φ521(618)	2000	36.494%	Andy Steward
  995	1452	Φ457(1523)	2001	33.535%	Andy Steward
  996	1451	Φ439(2054)	2001	34.432%	Andy Steward
  997	1449	Φ487(958)	2005	16.411%	Andy Steward
  998	1447	Φ463(1354)	2005	26.412%	Andy Steward
  999	1443	Φ571(339)	2000	35.414%	Andy Steward
  1000	1439	Φ433(2138)	2000	35.072%	Andy Steward
  1001	1439	Φ487(911)	2000	40.170%	Andy Steward
  1002	1438	Φ439(1916)	2001	47.378%	Andy Steward
  1003	1437	Φ521(578)	2000	42.625%	Andy Steward
  1004	1436	Φ1699(7)	1994	33.841%	Harvey Dubner & Richard Brent
  1005	1435	Φ701(112)	2000	33.539%	Andy Steward
  1006	1435	Φ461(1312)	2001	33.398%	Andy Steward
  1007	1434	Φ503(717)	2005	2.120%	Andy Steward
  1008	1431	Φ541(445)	2000	34.804%	Andy Steward
  1009	1425	Φ433(1981)	2000	33.342%	Andy Steward
  1010	1423	Φ431(2038)	2005	26.744%	Andy Steward
  1011	1422	Φ463(1194)	2001	32.534%	Andy Steward
  1012	1420	Φ613(209)	2000	33.497%	Andy Steward
  1013	1420	Φ439(1744)	2005	10.566%	Andy Steward
  1014	1419	Φ487(830)	2005	20.580%	Andy Steward
  1015	1418	Φ499(703)	2005	24.372%	Andy Steward
  1016	1417	Φ463(1165)	2005	29.260%	Andy Steward
  1017	1415	Φ463(1153)	2005	25.395%	Andy Steward
  1018	1414	Φ467(1079)	2005	5.557%	Andy Steward
  1019	1413	Φ479(901)	2005	3.090%	Andy Steward
  1020	1409	Φ691(110)	2000	33.369%	Andy Steward
  1021	1406	Φ439(1616)	2005	24.563%	Andy Steward
  1022	1403	Φ761(70)	1994	33.500%	Harvey Dubner & Richard Brent
  1023	1400	Φ617(187)	2000	33.434%	Andy Steward
  1024	1398	Φ613(192)	2001	33.523%	David Broadhurst
  1025	1397	Φ439(1544)	2005	6.782%	Andy Steward
  1026	1397	Φ431(1765)	2005	14.321%	Andy Steward
  1027	1397	Φ503(604)	2000	48.168%	Andy Steward
  1028	1396	Φ433(1697)	2000	33.330%	Andy Steward
  1029	1391	Φ587(236)	2002	0.796%	Andy Steward
  1030	1391	Φ467(962)	2000	49.593%	Andy Steward
  1031	1389	Φ433(1640)	2000	33.346%	Andy Steward
  1032	1388	Φ487(715)	2005	13.064%	Andy Steward
  1033	1388	Φ421(2007)	2000	33.380%	Andy Steward
  1034	1386	Φ521(461)	2000	33.475%	Andy Steward
  1035	1384	Φ739(75)	2001	30.059%	David Broadhurst
  1036	1384	Φ433(1593)	2000	33.416%	Andy Steward
  1037	1377	Φ461(985)	2002	29.842%	Andy Steward
  1038	1375	Φ503(547)	2005	4.015%	Andy Steward
  1039	1373	Φ467(880)	2005	7.022%	Andy Steward
  1040	1372	Φ769(61)	1994	33.613%	Harvey Dubner & Richard Brent
  1041	1371	Φ479(737)	2005	3.832%	Andy Steward
  1042	1371	Φ503(537)	2005	5.405%	Andy Steward
  1043	1368	Φ439(1322)	2005	7.932%	Andy Steward
  1044	1366	Φ467(850)	2005	2.892%	Andy Steward
  1045	1364	Φ419(1829)	2005	18.005%	Andy Steward
  1046	1358	Φ487(620)	2001	33.467%	Andy Steward
  1047	1356	Φ1061(19)	2005	24.262%	Andy Steward
  1048	1356	Φ757(62)	1994	33.809%	Harvey Dubner & Richard Brent
  1049	1355	Φ677(101)	2002	11.920%	Andy Steward
  1050	1355	Φ503(498)	2002	1.580%	Andy Steward
  1051	1352	Φ563(254)	2005	6.321%	Andy Steward
  1052	1350	Φ673(102)	1994	33.557%	Harvey Dubner & Richard Brent
  1053	1350	Φ463(832)	2000	33.512%	Andy Steward
  1054	1349	Φ467(783)	2005	7.022%	Andy Steward
  1055	1347	Φ431(1353)	2005	24.318%	Andy Steward
  1056	1343	Φ431(1326)	2005	24.177%	Andy Steward
  1057	1343	Φ443(1088)	2001	42.706%	Andy Steward
  1058	1329	Φ491(514)	2000	35.827%	Andy Steward
  1059	1328	Φ1193(13)	2005	29.164%	Andy Steward
  1060	1327	Φ421(1438)	2000	41.981%	Andy Steward
  1061	1325	Φ577(199)	2000	33.809%	Andy Steward
  1062	1323	Φ461(749)	2000	34.547%	Andy Steward
  1063	1319	Φ401(1979)	2000	33.339%	Andy Steward
  1064	1319	Φ467(675)	2000	47.859%	Andy Steward
  1065	1316	Φ433(1110)	2000	33.327%	Andy Steward
  1066	1315	Φ461(721)	2005	27.264%	Andy Steward
  1067	1306	Φ401(1835)	2000	33.329%	Andy Steward
  1068	1304	Φ457(721)	2000	33.644%	Andy Steward
  1069	1301	Φ463(652)	2000	33.461%	Andy Steward
  1070	1297	Φ541(252)	2000	34.277%	Andy Steward
  1071	1295	Φ461(651)	2000	40.871%	Andy Steward
  1072	1293	Φ461(645)	2000	34.972%	Andy Steward
  1073	1291	Φ431(1004)	2005	15.051%	Andy Steward
  1074	1291	Φ479(500)	2005	3.585%	Andy Steward
  1075	1290	Φ449(757)	2000	34.710%	Andy Steward
  1076	1288	Φ541(242)	2000	33.491%	Andy Steward
  1077	1285	Φ401(1622)	2001	33.438%	Andy Steward
  1078	1283	Φ433(931)	2000	34.417%	Andy Steward
  1079	1282	Φ443(793)	2000	39.705%	Andy Steward
  1080	1278	Φ401(1563)	2001	33.641%	Andy Steward
  1081	1273	Φ487(416)	2005	26.845%	Andy Steward
  1082	1271	Φ433(873)	2000	33.415%	Andy Steward
  1083	1271	Φ599(133)	2005	17.505%	Andy Steward
  1084	1269	Φ389(1855)	2001	30.839%	Andy Steward
  1085	1269	Φ577(159)	2000	38.961%	Andy Steward
  1086	1268	Φ449(675)	2000	33.752%	Andy Steward
  1087	1265	Φ433(845)	2000	34.461%	Andy Steward
  1088	1261	Φ401(1418)	2002	34.989%	Andy Steward
  1089	1261	Φ439(753)	2005	26.421%	Andy Steward
  1090	1256	Φ389(1717)	2005	3.990%	Andy Steward
  1091	1254	Φ401(1358)	2000	47.930%	Andy Steward
  1092	1253	Φ439(722)	2000	34.177%	Andy Steward
  1093	1252	Φ599(124)	2000	42.773%	Andy Steward
  1094	1249	Φ659(79)	2002	18.128%	Andy Steward
  1095	1245	Φ479(402)	2002	51.959%	Andy Steward
  1096	1244	Φ419(946)	2005	22.208%	Andy Steward
  1097	1239	Φ431(760)	2005	25.052%	Andy Steward
  1098	1238	Φ379(1881)	2000	33.375%	Andy Steward
  1099	1237	Φ577(140)	1994	33.479%	Harvey Dubner & Richard Brent
  1100	1236	Φ571(147)	2000	35.581%	Andy Steward
  1101	1233	Φ379(1826)	2001	33.385%	Andy Steward
  1102	1233	Φ409(1049)	2000	34.244%	Andy Steward
  1103	1233	Φ383(1684)	2005	1.596%	Andy Steward
  1104	1232	Φ389(1489)	2005	8.291%	Andy Steward
  1105	1229	Φ421(842)	2000	34.241%	Andy Steward
  1106	1228	Φ421(835)	2000	34.151%	Andy Steward
  1107	1225	Φ389(1433)	2005	5.129%	Andy Steward
  1108	1225	Φ379(1731)	2000	33.425%	Andy Steward
  1109	1223	Φ383(1589)	2005	4.001%	Andy Steward
  1110	1222	Φ421(808)	2000	34.564%	Andy Steward
  1111	1221	Φ389(1395)	2005	2.900%	Andy Steward
  1112	1216	Φ397(1171)	2000	33.419%	Andy Steward
  1113	1212	Φ383(1488)	2001	49.738%	Andy Steward
  1114	1209	Φ401(1050)	2000	33.887%	Andy Steward
  1115	1207	Φ401(1040)	2001	33.534%	Andy Steward
  1116	1206	Φ397(1105)	2000	33.396%	Andy Steward
  1117	1204	Φ461(414)	2001	31.567%	Andy Steward
  1118	1203	Φ499(260)	2000	33.887%	Andy Steward
  1119	1202	Φ751(40)	2000	33.539%	Andy Steward
  1120	1194	Φ487(286)	2005	20.352%	Andy Steward
  1121	1194	Φ457(414)	2000	35.547%	Andy Steward
  1122	1190	Φ457(407)	2000	35.213%	Andy Steward
  1123	1187	Φ367(1749)	2005	19.423%	Andy Steward
  1124	1187	Φ479(304)	2005	2.363%	Andy Steward
  1125	1187	Φ383(1277)	2005	6.179%	Andy Steward
  1126	1187	Φ367(1745)	2001	33.394%	Andy Steward
  1127	1186	Φ433(555)	2000	33.610%	Andy Steward
  1128	1184	Φ367(1708)	2005	24.447%	Andy Steward
  1129	1184	Φ383(1250)	2005	1.469%	Andy Steward
  1130	1181	Φ389(1105)	2001	47.211%	Andy Steward
  1131	1181	Φ383(1233)	2005	6.439%	Andy Steward
  1132	1181	Φ373(1488)	2001	45.008%	Andy Steward
  1133	1178	Φ373(1464)	2005	23.500%	Andy Steward
  1134	1178	Φ367(1644)	2001	33.569%	Andy Steward
  1135	1175	Φ563(123)	2002	7.179%	Andy Steward
  1136	1172	Φ487(257)	2000	33.419%	Andy Steward
  1137	1169	Φ569(114)	2001	32.580%	Andy Steward
  1138	1169	Φ379(1232)	2000	33.508%	Andy Steward
  1139	1168	Φ463(336)	2000	33.519%	Andy Steward
  1140	1167	Φ367(1543)	2005	26.321%	Andy Steward
  1141	1162	Φ373(1329)	2002	31.790%	Andy Steward
  1142	1159	Φ661(57)	2000	33.777%	Andy Steward
  1143	1157	Φ379(1147)	2000	33.409%	Andy Steward
  1144	1156	Φ367(1440)	2002	6.379%	Andy Steward
  1145	1152	Φ373(1248)	2001	39.399%	Andy Steward
  1146	1151	Φ409(659)	2000	33.490%	Andy Steward
  1147	1150	Φ857(22)	2002	29.065%	Andy Steward
  1148	1149	Φ509(182)	2002	4.972%	Andy Steward
  1149	1147	Φ373(1211)	2002	23.577%	Andy Steward
  1150	1146	Φ379(1071)	2000	33.513%	Andy Steward
  1151	1144	Φ367(1329)	2001	33.562%	Andy Steward
  1152	1143	Φ631(65)	1994	37.003%	Harvey Dubner & Richard Brent
  1153	1142	Φ367(1313)	2002	12.975%	Andy Steward
  1154	1137	Φ1021(13)	1994	38.445%	Harvey Dubner & Richard Brent
  1155	1136	Φ383(940)	2002	7.507%	Andy Steward
  1156	1136	Φ433(425)	2000	35.207%	Andy Steward
  1157	1133	Φ367(1242)	2002	12.699%	Andy Steward
  1158	1128	Φ397(705)	2000	33.648%	Andy Steward
  1159	1125	Φ389(789)	2002	2.611%	Andy Steward
  1160	1124	Φ383(873)	2002	5.689%	Andy Steward
  1161	1122	Φ661(50)	1994	33.409%	Harvey Dubner & Richard Brent
  1162	1121	Φ389(774)	2002	8.964%	Andy Steward
  1163	1121	Φ431(404)	2002	25.651%	Andy Steward
  1164	1121	Φ347(1733)	2002	2.857%	Andy Steward
  1165	1121	Φ367(1149)	2002	6.905%	Andy Steward
  1166	1121	Φ577(88)	1994	33.443%	Harvey Dubner & Richard Brent
  1167	1119	Φ349(1639)	2002	34.592%	Andy Steward
  1168	1119	Φ383(847)	2002	0.755%	Andy Steward
  1169	1118	Φ347(1697)	2002	7.228%	Andy Steward
  1170	1114	Φ593(76)	2000	34.011%	Andy Steward
  1171	1112	Φ347(1630)	2002	4.699%	Andy Steward
  1172	1112	Φ571(89)	2000	34.836%	Andy Steward
  1173	1109	Φ349(1535)	2002	22.758%	Andy Steward
  1174	1109	Φ353(1411)	2001	33.331%	Andy Steward
  1175	1109	Φ383(797)	2002	3.510%	Andy Steward
  1176	1108	Φ397(627)	1994	33.682%	Harvey Dubner & Richard Brent
  1177	1108	Φ389(715)	2002	28.388%	Andy Steward
  1178	1107	Φ367(1052)	2001	33.548%	Andy Steward
  1179	1106	Φ467(236)	2002	5.142%	Andy Steward
  1180	1104	Φ461(251)	1994	33.695%	Harvey Dubner & Richard Brent
  1181	1103	Φ991(13)	1994	34.072%	Harvey Dubner & Richard Brent
  1182	1099	Φ409(493)	1994	34.686%	Harvey Dubner & Richard Brent
  1183	1098	Φ383(748)	2002	4.693%	Andy Steward
  1184	1096	Φ347(1462)	2000	46.478%	Andy Steward
  1185	1091	Φ359(1113)	2002	3.487%	Andy Steward
  1186	1085	Φ461(228)	1994	44.931%	Harvey Dubner & Richard Brent
  1187	1084	Φ347(1354)	2001	50.524%	Andy Steward
  1188	1081	Φ347(1330)	2002	1.862%	Andy Steward
  1189	1080	Φ367(889)	2000	33.538%	Andy Steward
  1190	1078	Φ383(662)	2002	6.700%	Andy Steward
  1191	1077	Φ401(490)	2000	33.441%	Andy Steward
  1192	1076	Φ347(1280)	2002	5.147%	Andy Steward
  1193	1075	Φ379(697)	2000	34.074%	Andy Steward
  1194	1075	Φ337(1576)	2000	34.536%	Andy Steward
  1195	1074	Φ401(482)	1994	33.330%	Harvey Dubner & Richard Brent
  1196	1073	Φ461(215)	2000	33.384%	Andy Steward
  1197	1073	Φ347(1256)	2002	2.326%	Andy Steward
  1198	1067	Φ419(356)	2002	16.440%	Andy Steward
  1199	1063	Φ337(1452)	2000	33.830%	Andy Steward
  1200	1056	Φ397(463)	1994	34.487%	Harvey Dubner & Richard Brent
  1201	1054	Φ367(755)	2002	9.179%	Andy Steward
  1202	1053	Φ337(1353)	2000	33.921%	Andy Steward
  1203	1053	Φ449(223)	1994	33.466%	Harvey Dubner & Richard Brent
  1204	1052	Φ331(1538)	2000	33.363%	Andy Steward
  1205	1051	Φ331(1525)	2000	33.326%	Andy Steward
  1206	1044	Φ331(1451)	2000	33.409%	Andy Steward
  1207	1042	Φ337(1257)	2000	33.425%	Andy Steward
  1208	1040	Φ449(209)	2001	33.546%	Andy Steward
  1209	1040	Φ379(562)	2000	34.229%	Andy Steward
  1210	1034	Φ331(1355)	2001	33.007%	Andy Steward
  1211	1033	Φ523(95)	2000	33.453%	Andy Steward
  1212	1033	Φ331(1344)	2000	33.603%	Andy Steward
  1213	1030	Φ389(451)	2002	6.539%	Andy Steward
  1214	1028	Φ331(1302)	2000	43.713%	Andy Steward
  1215	1027	Φ439(221)	2000	41.140%	Andy Steward
  1216	1025	Φ353(816)	2001	32.438%	Andy Steward
  1217	1023	Φ347(904)	2002	7.244%	Andy Steward
  1218	1023	Φ383(475)	2002	5.528%	Andy Steward
  1219	1022	Φ389(430)	2002	8.355%	Andy Steward
  1220	1018	Φ347(875)	2002	5.188%	Andy Steward
  1221	1017	Φ401(347)	2000	33.712%	Andy Steward
  1222	1014	Φ389(410)	2002	4.629%	Andy Steward
  1223	1009	Φ353(734)	1994	33.417%	Harvey Dubner & Richard Brent
  1224	1006	Φ317(1523)	2002	3.775%	Andy Steward
  1225	1006	Φ331(1116)	2000	33.540%	Andy Steward
  1226	1003	Φ631(39)	1994	33.791%	Harvey Dubner & Richard Brent

   

  ---

  Contributors

  Primes	By	Largest	Rank
  1115	Andy Steward	37090	1
  36	David Broadhurst	9947	77
  28	Harvey Dubner & Richard Brent	5925	162
  13	Tom Wu	23335	5
  10	David Broadhurst & Bouk de Water	16980	15
  5	Bernardo Boncompagni	10433	67
  3	David Broadhurst & Sean Irvine	10072	74
  3	David Broadhurst, Bouk de Water & Bernardo Boncompagni	9775	82
  2	Carlos Rivera	2269	682
  2	Giovanni & Marco La Barbera	3106	390
  2	Predrag Minovic & Larry Soule	23058	7
  1	Alex Kruppa, Predrag Minovic & Larry Soule	12782	40
  1	Bernardo Boncompagni & David Broadhurst	12368	43
  1	David Broadhurst, Bouk de Water & Andy Steward	10871	58
  1	David Broadhurst, Bouk de Water & Paul Leyland	6990	140
  1	David Broadhurst, Bouk de Water & Sean Irvine	7431	128
  1	Hans Rosenthal & Tony Forbes	2366	654
  1	Pavlos Saridis & Conrad Curry	6563	149

   

  ---

  There are a further 640 legal GRUs below 1000 digits. All have been proved or re-proved by me. I am unable to provide details of the original dates and provers. I choose not to place certificates for them online as they would take up a lot of space and the largest of them could be proved with Primo in around half an hour on an Athlon XP3000+.

  Sub-Titanic Generalized Repunit Primes

  Rank	Digits	GRU
  1227	999	Φ349(741)
  1228	997	Φ541(70)
  1229	996	Φ383(403)
  1230	994	Φ347(744)
  1231	991	Φ347(727)
  1232	988	Φ353(639)
  1233	984	Φ331(958)
  1234	983	Φ509(86)
  1235	983	Φ883(13)
  1236	982	Φ359(552)
  1237	982	Φ449(155)
  1238	979	Φ349(650)
  1239	979	Φ359(542)
  1240	977	Φ347(666)
  1241	977	Φ383(359)
  1242	975	Φ313(1324)
  1243	971	Φ383(348)
  1244	971	Φ349(616)
  1245	962	Φ349(580)
  1246	960	Φ317(1087)
  1247	956	Φ311(1205)
  1248	953	Φ317(1037)
  1249	946	Φ383(299)
  1250	944	Φ907(11)
  1251	942	Φ359(426)
  1252	941	Φ401(224)
  1253	934	Φ337(600)
  1254	930	Φ317(874)
  1255	927	Φ311(977)
  1256	927	Φ337(572)
  1257	911	Φ449(108)
  1258	911	Φ661(24)
  1259	908	Φ293(1283)
  1260	908	Φ347(419)
  1261	904	Φ337(488)
  1262	903	Φ317(717)
  1263	901	Φ331(535)
  1264	900	Φ653(24)
  1265	890	Φ331(495)
  1266	884	Φ283(1363)
  1267	882	Φ317(617)
  1268	877	Φ337(405)
  1269	871	Φ313(617)
  1270	868	Φ317(558)
  1271	866	Φ379(195)
  1272	866	Φ541(40)
  1273	865	Φ317(544)
  1274	861	Φ439(92)
  1275	859	Φ283(1108)
  1276	857	Φ311(580)
  1277	854	Φ337(347)
  1278	847	Φ479(59)
  1279	847	Φ383(164)
  1280	840	Φ569(30)
  1281	839	Φ283(943)
  1282	837	Φ271(1253)
  1283	836	Φ271(1248)
  1284	832	Φ271(1205)
  1285	832	Φ313(463)
  1286	827	Φ373(167)
  1287	827	Φ359(204)
  1288	826	Φ277(978)
  1289	824	Φ439(76)
  1290	823	Φ281(864)
  1291	822	Φ269(1163)
  1292	821	Φ277(941)
  1293	821	Φ277(940)
  1294	820	Φ271(1088)
  1295	820	Φ317(392)
  1296	816	Φ1049(6)
  1297	816	Φ521(37)
  1298	816	Φ307(461)
  1299	812	Φ281(790)
  1300	811	Φ353(201)
  1301	799	Φ263(1120)
  1302	796	Φ263(1091)
  1303	796	Φ257(1275)
  1304	794	Φ257(1254)
  1305	791	Φ307(383)
  1306	790	Φ257(1216)
  1307	790	Φ331(247)
  1308	788	Φ257(1197)
  1309	785	Φ263(987)
  1310	785	Φ389(105)
  1311	785	Φ269(843)
  1312	782	Φ353(166)
  1313	782	Φ281(618)
  1314	781	Φ293(471)
  1315	780	Φ307(354)
  1316	780	Φ269(812)
  1317	780	Φ281(606)
  1318	779	Φ347(178)
  1319	776	Φ1627(3)
  1320	776	Φ263(909)
  1321	774	Φ277(637)
  1322	774	Φ373(120)
  1323	772	Φ331(218)
  1324	771	Φ257(1027)
  1325	771	Φ317(275)
  1326	771	Φ257(1022)
  1327	767	Φ263(842)
  1328	767	Φ347(164)
  1329	765	Φ307(316)
  1330	763	Φ251(1122)
  1331	763	Φ383(99)
  1332	760	Φ313(271)
  1333	756	Φ293(388)
  1334	756	Φ701(12)
  1335	755	Φ271(624)
  1336	755	Φ271(622)
  1337	751	Φ263(735)
  1338	749	Φ353(134)
  1339	748	Φ271(586)
  1340	743	Φ251(933)
  1341	742	Φ281(446)
  1342	739	Φ277(473)
  1343	736	Φ283(404)
  1344	730	Φ257(709)
  1345	728	Φ269(520)
  1346	726	Φ283(374)
  1347	726	Φ307(235)
  1348	725	Φ463(37)
  1349	724	Φ241(1030)
  1350	723	Φ317(193)
  1351	722	Φ269(493)
  1352	722	Φ257(658)
  1353	722	Φ241(1014)
  1354	721	Φ263(563)
  1355	719	Φ433(46)
  1356	717	Φ307(220)
  1357	708	Φ449(38)
  1358	708	Φ283(323)
  1359	706	Φ263(494)
  1360	703	Φ241(849)
  1361	702	Φ263(476)
  1362	699	Φ239(862)
  1363	698	Φ277(338)
  1364	698	Φ251(618)
  1365	694	Φ283(288)
  1366	690	Φ227(1119)
  1367	688	Φ337(111)
  1368	687	Φ317(149)
  1369	685	Φ311(162)
  1370	682	Φ257(459)
  1371	682	Φ241(689)
  1372	679	Φ229(950)
  1373	679	Φ283(254)
  1374	676	Φ257(435)
  1375	675	Φ227(967)
  1376	674	Φ337(101)
  1377	673	Φ389(54)
  1378	669	Φ229(858)
  1379	669	Φ223(1027)
  1380	669	Φ367(67)
  1381	662	Φ269(294)
  1382	660	Φ457(28)
  1383	659	Φ409(41)
  1384	658	Φ223(914)
  1385	657	Φ223(905)
  1386	657	Φ229(754)
  1387	655	Φ239(564)
  1388	655	Φ281(217)
  1389	653	Φ229(725)
  1390	652	Φ1367(3)
  1391	649	Φ227(743)
  1392	649	Φ929(5)
  1393	648	Φ283(197)
  1394	645	Φ233(602)
  1395	643	Φ271(240)
  1396	643	Φ383(48)
  1397	642	Φ227(688)
  1398	639	Φ227(671)
  1399	639	Φ223(749)
  1400	637	Φ239(474)
  1401	635	Φ229(606)
  1402	634	Φ271(222)
  1403	632	Φ401(38)
  1404	629	Φ313(103)
  1405	628	Φ211(977)
  1406	627	Φ223(661)
  1407	625	Φ227(577)
  1408	623	Φ293(136)
  1409	622	Φ271(201)
  1410	621	Φ227(556)
  1411	615	Φ227(523)
  1412	614	Φ211(835)
  1413	613	Φ211(829)
  1414	613	Φ271(186)
  1415	611	Φ239(367)
  1416	610	Φ227(500)
  1417	607	Φ251(267)
  1418	605	Φ241(330)
  1419	598	Φ251(246)
  1420	593	Φ199(988)
  1421	593	Φ199(983)
  1422	592	Φ211(653)
  1423	590	Φ199(944)
  1424	589	Φ199(936)
  1425	588	Φ347(50)
  1426	587	Φ199(921)
  1427	586	Φ349(48)
  1428	584	Φ241(270)
  1429	582	Φ241(265)
  1430	581	Φ211(581)
  1431	579	Φ263(161)
  1432	575	Φ227(350)
  1433	575	Φ239(260)
  1434	574	Φ211(539)
  1435	572	Φ487(15)
  1436	571	Φ197(813)
  1437	569	Φ199(740)
  1438	567	Φ227(322)
  1439	565	Φ197(763)
  1440	564	Φ241(223)
  1441	564	Φ191(924)
  1442	563	Φ211(478)
  1443	562	Φ199(689)
  1444	559	Φ239(223)
  1445	557	Φ199(645)
  1446	555	Φ263(131)
  1447	555	Φ199(630)
  1448	554	Φ349(39)
  1449	551	Φ193(736)
  1450	546	Φ191(743)
  1451	544	Φ197(593)
  1452	543	Φ193(673)
  1453	543	Φ227(251)
  1454	542	Φ191(712)
  1455	541	Φ191(699)
  1456	539	Φ193(637)
  1457	538	Φ227(240)
  1458	537	Φ191(664)
  1459	536	Φ227(235)
  1460	536	Φ211(354)
  1461	531	Φ241(163)
  1462	529	Φ263(104)
  1463	528	Φ191(595)
  1464	527	Φ193(554)
  1465	524	Φ199(442)
  1466	522	Φ181(786)
  1467	521	Φ223(221)
  1468	521	Φ1091(3)
  1469	520	Φ223(219)
  1470	516	Φ193(486)
  1471	516	Φ199(401)
  1472	515	Φ419(17)
  1473	512	Φ199(383)
  1474	509	Φ191(477)
  1475	509	Φ181(671)
  1476	509	Φ181(665)
  1477	508	Φ197(388)
  1478	507	Φ199(362)
  1479	504	Φ223(186)
  1480	503	Φ181(618)
  1481	503	Φ223(183)
  1482	502	Φ197(363)
  1483	498	Φ191(416)
  1484	497	Φ181(571)
  1485	495	Φ197(335)
  1486	495	Φ241(115)
  1487	493	Φ179(586)
  1488	490	Φ347(26)
  1489	488	Φ181(509)
  1490	486	Φ173(663)
  1491	485	Φ257(78)
  1492	483	Φ227(136)
  1493	482	Φ313(35)
  1494	481	Φ359(22)
  1495	479	Φ167(764)
  1496	478	Φ167(749)
  1497	477	Φ179(478)
  1498	476	Φ193(301)
  1499	474	Φ197(262)
  1500	474	Φ181(427)
  1501	473	Φ167(700)
  1502	471	Φ173(542)
  1503	470	Φ197(248)
  1504	467	Φ163(755)
  1505	466	Φ197(236)
  1506	459	Φ167(582)
  1507	458	Φ167(571)
  1508	453	Φ173(425)
  1509	451	Φ269(48)
  1510	445	Φ167(476)
  1511	444	Φ157(694)
  1512	443	Φ191(214)
  1513	442	Φ179(304)
  1514	442	Φ173(368)
  1515	441	Φ167(453)
  1516	441	Φ167(449)
  1517	440	Φ257(52)
  1518	435	Φ157(609)
  1519	435	Φ199(156)
  1520	433	Φ167(403)
  1521	433	Φ269(41)
  1522	433	Φ619(5)
  1523	431	Φ163(456)
  1524	430	Φ337(19)
  1525	430	Φ173(313)
  1526	427	Φ173(303)
  1527	427	Φ151(697)
  1528	423	Φ151(660)
  1529	422	Φ151(642)
  1530	420	Φ227(72)
  1531	411	Φ157(426)
  1532	409	Φ157(413)
  1533	406	Φ149(550)
  1534	402	Φ181(171)
  1535	400	Φ149(502)
  1536	400	Φ163(291)
  1537	398	Φ193(118)
  1538	397	Φ151(439)
  1539	396	Φ509(6)
  1540	395	Φ151(427)
  1541	395	Φ157(338)
  1542	393	Φ251(37)
  1543	391	Φ157(317)
  1544	390	Φ139(668)
  1545	385	Φ137(669)
  1546	385	Φ151(364)
  1547	382	Φ139(580)
  1548	382	Φ139(577)
  1549	380	Φ353(12)
  1550	377	Φ137(586)
  1551	376	Φ167(182)
  1552	375	Φ139(521)
  1553	373	Φ167(175)
  1554	371	Φ149(319)
  1555	370	Φ173(141)
  1556	369	Φ211(57)
  1557	369	Φ173(139)
  1558	363	Φ131(613)
  1559	362	Φ139(415)
  1560	361	Φ151(255)
  1561	361	Φ131(593)
  1562	361	Φ131(591)
  1563	358	Φ131(567)
  1564	358	Φ149(260)
  1565	358	Φ271(21)
  1566	356	Φ157(190)
  1567	356	Φ191(74)
  1568	353	Φ157(181)
  1569	353	Φ127(624)
  1570	352	Φ151(222)
  1571	352	Φ163(147)
  1572	351	Φ131(493)
  1573	350	Φ167(127)
  1574	350	Φ211(46)
  1575	349	Φ127(585)
  1576	348	Φ163(139)
  1577	347	Φ137(355)
  1578	342	Φ317(12)
  1579	340	Φ127(497)
  1580	339	Φ127(486)
  1581	338	Φ127(477)
  1582	338	Φ127(473)
  1583	337	Φ151(176)
  1584	336	Φ163(118)
  1585	332	Φ127(427)
  1586	331	Φ151(160)
  1587	328	Φ127(401)
  1588	324	Φ139(221)
  1589	317	Φ137(213)
  1590	315	Φ283(13)
  1591	309	Φ173(62)
  1592	306	Φ173(60)
  1593	303	Φ127(250)
  1594	302	Φ137(166)
  1595	302	Φ113(492)
  1596	300	Φ149(106)
  1597	298	Φ197(33)
  1598	297	Φ127(226)
  1599	294	Φ157(76)
  1600	291	Φ163(62)
  1601	289	Φ157(71)
  1602	287	Φ109(445)
  1603	284	Φ109(421)
  1604	283	Φ113(334)
  1605	283	Φ181(37)
  1606	281	Φ149(79)
  1607	278	Φ113(299)
  1608	275	Φ127(151)
  1609	275	Φ167(45)
  1610	274	Φ109(342)
  1611	273	Φ167(44)
  1612	273	Φ103(472)
  1613	273	Φ157(56)
  1614	272	Φ113(266)
  1615	272	Φ149(68)
  1616	270	Φ107(349)
  1617	270	Φ109(313)
  1618	268	Φ103(421)
  1619	266	Φ101(456)
  1620	266	Φ113(233)
  1621	265	Φ127(126)
  1622	265	Φ103(392)
  1623	264	Φ109(277)
  1624	264	Φ151(57)
  1625	264	Φ101(428)
  1626	262	Φ151(55)
  1627	261	Φ109(260)
  1628	259	Φ103(345)
  1629	259	Φ101(387)
  1630	258	Φ541(3)
  1631	258	Φ109(240)
  1632	257	Φ109(239)
  1633	256	Φ97(464)
  1634	256	Φ101(359)
  1635	253	Φ97(429)
  1636	253	Φ97(428)
  1637	253	Φ101(332)
  1638	252	Φ97(421)
  1639	252	Φ97(420)
  1640	249	Φ107(219)
  1641	249	Φ101(302)
  1642	243	Φ97(339)
  1643	240	Φ109(165)
  1644	240	Φ163(30)
  1645	238	Φ109(158)
  1646	235	Φ139(50)
  1647	234	Φ97(271)
  1648	233	Φ107(157)
  1649	233	Φ89(436)
  1650	228	Φ109(129)
  1651	228	Φ97(234)
  1652	222	Φ101(164)
  1653	220	Φ151(29)
  1654	218	Φ107(112)
  1655	217	Φ113(86)
  1656	215	Φ127(50)
  1657	213	Φ83(386)
  1658	212	Φ89(251)
  1659	211	Φ127(47)
  1660	211	Φ109(89)
  1661	211	Φ271(6)
  1662	209	Φ89(234)
  1663	205	Φ109(79)
  1664	203	Φ79(390)
  1665	201	Φ109(72)
  1666	201	Φ89(190)
  1667	199	Φ79(354)
  1668	197	Φ79(334)
  1669	197	Φ79(330)
  1670	195	Φ107(68)
  1671	194	Φ89(159)
  1672	194	Φ97(104)
  1673	190	Φ79(271)
  1674	190	Φ109(57)
  1675	190	Φ107(61)
  1676	190	Φ101(78)
  1677	188	Φ97(90)
  1678	188	Φ79(254)
  1679	182	Φ73(335)
  1680	182	Φ89(114)
  1681	178	Φ73(295)
  1682	178	Φ83(146)
  1683	176	Φ103(52)
  1684	174	Φ79(170)
  1685	172	Φ79(158)
  1686	168	Φ73(215)
  1687	168	Φ79(140)
  1688	167	Φ67(332)
  1689	167	Φ67(328)
  1690	165	Φ67(315)
  1691	165	Φ73(195)
  1692	165	Φ67(314)
  1693	164	Φ67(304)
  1694	160	Φ79(112)
  1695	157	Φ67(238)
  1696	152	Φ137(13)
  1697	149	Φ71(132)
  1698	149	Φ73(114)
  1699	144	Φ139(11)
  1700	144	Φ59(294)
  1701	143	Φ61(234)
  1702	140	Φ59(257)
  1703	139	Φ61(205)
  1704	138	Φ67(122)
  1705	137	Φ71(89)
  1706	136	Φ107(19)
  1707	136	Φ73(75)
  1708	135	Φ59(209)
  1709	135	Φ101(22)
  1710	133	Φ83(41)
  1711	132	Φ59(188)
  1712	132	Φ61(155)
  1713	129	Φ61(138)
  1714	126	Φ181(5)
  1715	126	Φ149(7)
  1716	124	Φ53(235)
  1717	122	Φ59(126)
  1718	120	Φ59(116)
  1719	117	Φ61(88)
  1720	117	Φ109(12)
  1721	117	Φ59(102)
  1722	116	Φ53(165)
  1723	111	Φ61(69)
  1724	110	Φ131(7)
  1725	110	Φ71(37)
  1726	110	Φ67(46)
  1727	108	Φ47(220)
  1728	108	Φ59(70)
  1729	106	Φ47(197)
  1730	105	Φ79(22)
  1731	105	Φ47(186)
  1732	104	Φ97(12)
  1733	104	Φ149(5)
  1734	103	Φ47(172)
  1735	99	Φ127(6)
  1736	98	Φ47(132)
  1737	97	Φ71(24)
  1738	95	Φ43(180)
  1739	93	Φ43(163)
  1740	93	Φ53(60)
  1741	92	Φ47(99)
  1742	92	Φ47(98)
  1743	90	Φ47(89)
  1744	89	Φ127(5)
  1745	88	Φ43(123)
  1746	87	Φ43(114)
  1747	87	Φ47(75)
  1748	87	Φ71(17)
  1749	86	Φ53(45)
  1750	85	Φ73(15)
  1751	83	Φ47(62)
  1752	82	Φ43(89)
  1753	82	Φ43(86)
  1754	81	Φ37(172)
  1755	81	Φ47(55)
  1756	80	Φ37(161)
  1757	79	Φ37(147)
  1758	77	Φ61(19)
  1759	77	Φ37(134)
  1760	77	Φ41(82)
  1761	77	Φ37(130)
  1762	76	Φ37(126)
  1763	76	Φ41(76)
  1764	76	Φ73(11)
  1765	75	Φ59(19)
  1766	75	Φ41(71)
  1767	74	Φ37(113)
  1768	72	Φ37(99)
  1769	72	Φ53(24)
  1770	72	Φ37(97)
  1771	72	Φ37(94)
  1772	71	Φ41(58)
  1773	70	Φ41(55)
  1774	69	Φ41(53)
  1775	68	Φ37(77)
  1776	65	Φ31(145)
  1777	65	Φ37(61)
  1778	64	Φ31(131)
  1779	64	Φ31(127)
  1780	63	Φ31(117)
  1781	60	Φ43(26)
  1782	59	Φ47(19)
  1783	58	Φ29(114)
  1784	58	Φ31(82)
  1785	57	Φ47(17)
  1786	56	Φ43(21)
  1787	56	Φ31(71)
  1788	55	Φ71(6)
  1789	52	Φ31(53)
  1790	52	Φ29(70)
  1791	51	Φ29(65)
  1792	50	Φ43(15)
  1793	50	Φ31(44)
  1794	49	Φ103(3)
  1795	46	Φ41(14)
  1796	46	Φ23(113)
  1797	45	Φ29(40)
  1798	45	Φ31(31)
  1799	43	Φ23(82)
  1800	39	Φ31(19)
  1801	36	Φ23(40)
  1802	36	Φ19(90)
  1803	35	Φ19(85)
  1804	35	Φ31(14)
  1805	34	Φ19(75)
  1806	34	Φ71(3)
  1807	33	Φ19(67)
  1808	33	Φ19(66)
  1809	33	Φ19(65)
  1810	33	Φ47(5)
  1811	31	Φ17(84)
  1812	31	Φ19(48)
  1813	30	Φ19(46)
  1814	30	Φ19(45)
  1815	29	Φ19(40)
  1816	29	Φ17(62)
  1817	29	Φ17(57)
  1818	28	Φ17(55)
  1819	25	Φ19(24)
  1820	24	Φ17(31)
  1821	24	Φ17(28)
  1822	24	Φ19(19)
  1823	22	Φ29(6)
  1824	22	Φ13(59)
  1825	22	Φ17(21)
  1826	21	Φ17(20)
  1827	21	Φ19(14)
  1828	20	Φ13(43)
  1829	20	Φ19(12)
  1830	19	Φ13(37)
  1831	19	Φ19(11)
  1832	19	Φ13(34)
  1833	18	Φ11(53)
  1834	17	Φ17(11)
  1835	15	Φ11(30)
  1836	14	Φ11(21)
  1837	14	Φ11(20)
  1838	13	Φ11(17)
  1839	11	Φ13(7)
  1840	9	Φ7(31)
  1841	9	Φ7(26)
  1842	9	Φ13(5)
  1843	8	Φ7(17)
  1844	8	Φ11(5)
  1845	7	Φ7(14)
  1846	7	Φ7(13)
  1847	6	Φ13(3)
  1848	6	Φ5(24)
  1849	6	Φ5(23)
  1850	6	Φ5(22)
  1851	5	Φ5(17)
  1852	5	Φ7(6)
  1853	5	Φ5(13)
  1854	5	Φ5(12)
  1855	5	Φ7(5)
  1856	4	Φ5(7)
  1857	4	Φ7(3)
  1858	3	Φ3(15)
  1859	3	Φ3(14)
  1860	3	Φ3(12)
  1861	2	Φ3(8)
  1862	2	Φ3(6)
  1863	2	Φ3(5)
  1864	2	Φ3(3)
  1865	1	Φ2(6)
  1866	1	Φ2(4)

  ---