For r from 7 to 2713: b# pair [n] g ----------------------------------------------------- 5# (5, 7) [1] 2 (smaller ghost) 7# (11, 13) [2] 23 17# (17, 19) [3] 63809 11# (29, 31) [4] 281 17# (41, 43) [5] 63803 7# (59, 61) [6] 11 (smaller ghost) 47# (59, 61) b 76861222823561411 19# (71, 73) [7] 1212443 53# (71, 73) b 4073644809648755573 11# (101, 103) [8] 263 61# (101, 103) b 14661047669925871372883 79# (107, 109) [9] 402205595917584113487385569239 13# (137, 139) [10] 3719 29# (137, 139) b 808711619 113# (137, 139) c 3951256830052200973518150786442957811659335839 11# (149, 151) [11] 251 47# (179, 181) [12] 76861222823561381 41# (191, 193) [13] 38031282940853 179# (191, 193) b 3727449097241401783646556683476303733615688902185325038300767679269713 11# (197, 199) [14] 239 23# (197, 199) b 27886559 83# (197, 199) c 33383064461159481419453002249049 137# (197, 199) d 9005977203776250060709742024865054008422962817626239 181# (227, 229) [15] 674668286600693722840026759709210975784439691295543831932438949947826729 19# (239, 241) [16] 1212401 179# (239, 241) b 3727449097241401783646556683476303733615688902185325038300767679269701 23# (269, 271) [17] 27886541 89# (269, 271) b 2971092737043193846331317200169721 107# (269, 271) c 320797014699374926809949726917508956049241 151# (269, 271) d 28164941873978897166111279528624000168835645420294568011421 257# (269, 271) e 2064555880737815216523621656702928165112025994255445810670112872623853080568167588774872073876405749821 17# (281, 283) [18] 63743 43# (281, 283) b 1635345166458683 101# (281, 283) c 29107795544812170112507914610063420313 113# (281, 283) d 3951256830052200973518150786442957811659335803 193# (281, 283) e 24870297048961372705051906443160644200341800340227632276525497011926738821463 233# (281, 283) f 555654523159023179771155099286414069679027830340897976128306429838020012934950100054003682963 Below are listed either the instances of g up to 109#/2, or the first instance of g larger than that. This means not all g for the prime pairs might be listed, but any g not listed are large. To obtain the remaining (large) g, check them the rest of the way, (from either 113# or the largest primorial listed, up to p#, where p = the first twin of the pair) 37# (311, 313) [19] 927592266773 47# (347, 349) [20] 76861222823561339 67# (347, 349) b 982290193885033381984799 31# (419, 421) [21] 25070061161 37# (431, 433) [22] 927592266743 11# (461, 463) [23] 173 (smaller ghost) 61# (461, 463) b 14661047669925871372793 97# (461, 463) c 288195995493189803094137768416469393 107# (461, 463) d 320797014699374926809949726917508956049193 13# (521, 523) [24] 3623 17# (569, 571) [25] 63671 71# (569, 571) b 69742603765837370120926781 149# (599, 601) [26] 186522793867409915007359467076980133568447982915858066151 17# (617, 619) [27] 63659 29# (617, 619) b 808711499 59# (617, 619) c 240345043769276579729 13# (641, 643) [28] 3593 67# (659, 661) [29] 982290193885033381984721 17# (809, 811) [30] 63611 109# (809, 811) b 34966874602231867022284520234008476209374451 11# (821, 823) [31] 83 (smaller ghost) 367# (827, 829) [32] 1520528222161471943136782778439755228929466951176496778278144037379941619365342170630327137414987044368553620914025696614956908521090727288566528459 13# (857, 859) [33] 3539 17# (857, 859) b 63599 13# (881, 883) [34] 3533 29# (881, 883) b 808711433 67# (1019, 1021) [35] 982290193885033381984631 41# (1031, 1033) [36] 38031282940643 53# (1031, 1033) b 4073644809648755333 13# (1049, 1051) [37] 3491 29# (1049, 1051) b 808711391 11# (1061, 1063) [38] 23 (smaller ghost) (repetition) 23# (1061, 1063) b 27886343 97# (1061, 1063) c 288195995493189803094137768416469243 67# (1091, 1093) [39] 982290193885033381984613 19# (1151, 1153) [40] 1212173 23# (1229, 1231) [41] 27886301 97# (1229, 1231) b 288195995493189803094137768416469201 197# (1277, 1279) [42] 4899448518645390422895225569302646907467334667024843558475522911349567547841829 109# (1289, 1291) [43] 34966874602231867022284520234008476209374331 23# (1301, 1303) [44] 27886283 97# (1301, 1303) b 288195995493189803094137768416469183 163# (1319, 1321) [45] 720769027496993957377953754417016788320673001950758289982008271 311# (1427, 1429) [46] 24391744994382266812811079628194031609567150115111170722310501827001104062971343237692811168053739467460935028407731528965789 31# (1451, 1453) [47] 25070060903 103# (1451, 1453) b 2998102941115653521588315204836532299163 17# (1481, 1483) [48] 63443 29# (1481, 1483) b 808711283 73# (1481, 1483) c 5091210074906128018827665063 53# (1487, 1489) [49] 4073644809648755219 37# (1607, 1609) [50] 927592266449 41# (1607, 1609) b 38031282940499 53# (1607, 1609) c 4073644809648755189 139# (1619, 1621) [51] 1251830831324898758438654141456242507170791831650053731 31# (1667, 1669) [52] 25070060849 79# (1667, 1669) b 402205595917584113487385568849 13# (1697, 1699) [53] 3329 17# (1697, 1699) b 63389 73# (1697, 1699) c 5091210074906128018827665009 13# (1721, 1723) [54] 3323 29# (1721, 1723) b 808711223 43# (1721, 1723) c 1635345166458323 71# (1721, 1723) d 69742603765837370120926493 101# (1721, 1723) e 29107795544812170112507914610063419953 109# (1721, 1723) f 34966874602231867022284520234008476209374223 For the pairs below, only the first g is listed: 79# (1787, 1789) [55] 402205595917584113487385568819 449# (1871, 1873) [56] 5994113506599516970032075021274947298467566681064736351426466064646392332358417136893931596134695555398759373700866655199667693922078161857702139407726376476488776581511800456993047633 97# (1877, 1879) [57] 288195995493189803094137768416469039 67# (1931, 1933) [58] 982290193885033381984403 97# (1949, 1951) [59] 288195995493189803094137768416469021 83# (1997, 1999) [60] 33383064461159481419453002248599 127# (2027, 2029) [61] 501809617416629523636805149878255642080735655459 29# (2081, 2083) [62] 808711133 41# (2087, 2089) [63] 38031282940379 19# (2111, 2113) [64] 1211933 13# (2129, 2131) [65] 3221 83# (2141, 2143) [66] 33383064461159481419453002248563 107# (2237, 2239) [67] 320797014699374926809949726917508956048749 47# (2267, 2269) [68] 76861222823560859 61# (2309, 2311) [69] 14661047669925871372331 167# (2381, 2383) [70] 120368427591997990882118276987641803649552391325776634426995435813 83# (2549, 2551) [71] 33383064461159481419453002248461 19# (2591, 2593) [72] 1211813 13# (2657, 2659) [73] 3089 19# (2697, 2689) [74] 1211789 149# (2711, 2713) [75] 186522793867409915007359467076980133568447982915858065623 For eight larger r: b# r first g ------------------------------------------------------------- 47# 433000573 76861222715311283 73# 433000651 5091210074906128018719415271 83# 433001071 33383064461159481419452893998831 53# 433001209 4073644809540505289 107# 433001551 320797014699374926809949726917508847798921 179# 433001689 3727449097241401783646556683476303733615688902185325038300767571019339 29# 433001971 700461161 179# 433002673 3727449097241401783646556683476303733615688902185325038300767571019093 Copyright (c) 2012 Mike Kaarhus reference file for www.christaboveme.com/pri/conj-ii-d.pdf