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Factorizations of 688...887

Table of contents

  1. About 688...887
  2. Prime numbers of the form 688...887
  3. Factorizations of 688...887
  4. References

1. About 688...887

First ten terms

67, 687, 6887, 68887, 688887, 6888887, 68888887, 688888887, 6888888887, 68888888887

General term

(62·10n-17)/9

2. Prime numbers of the form 688...887

Last update

Aug 9, 2009

Searched up to

n≤10000

Difficulty of search

14.17%

Results

  1. (62·101-17)/9 = 67 is prime.
  2. (62·1033-17)/9 = 6(8)327<34> is prime.
  3. (62·1072-17)/9 = 6(8)717<73> is prime.
  4. (62·10177-17)/9 = 6(8)1767<178> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PPSIQS / Jan 5, 2005)
  5. (62·10192-17)/9 = 6(8)1917<193> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PPSIQS / Jan 5, 2005)
  6. (62·10325-17)/9 = 6(8)3247<326> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PPSIQS / Jan 5, 2005)
  7. (62·10417-17)/9 = 6(8)4167<418> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Makoto Kamada / PPSIQS / Jan 24, 2005)
  8. (62·10732-17)/9 = 6(8)7317<733> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 31, 2006)
  9. (62·101362-17)/9 = 6(8)13617<1363> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 6, 2006)

3. Factorizations of 688...887

Last update

Nov 8, 2009

Completed up to

Range

n≤150

Results

(62·101-17)/9 =
67
= definitely prime number
(62·102-17)/9 =
687
= 3 · 229
(62·103-17)/9 =
6887
= 71 · 97
(62·104-17)/9 =
68887
= 7 · 13 · 757
(62·105-17)/9 =
688887
= 32 · 76543
(62·106-17)/9 =
6888887
= 19 · 53 · 6841
(62·107-17)/9 =
68888887
= 23 · 47 · 63727
(62·108-17)/9 =
688888887
= 3 · 863 · 266083
(62·109-17)/9 =
6888888887<10>
= 839 · 8210833
(62·1010-17)/9 =
68888888887<11>
= 7 · 13 · 1151 · 657707
(62·1011-17)/9 =
688888888887<12>
= 3 · 229629629629<12>
(62·1012-17)/9 =
6888888888887<13>
= 2819 · 2443734973<10>
(62·1013-17)/9 =
68888888888887<14>
= 29 · 449 · 4231 · 1250437
(62·1014-17)/9 =
688888888888887<15>
= 33 · 6551 · 3894734131<10>
(62·1015-17)/9 =
6888888888888887<16>
= 1427 · 629779 · 7665439
(62·1016-17)/9 =
68888888888888887<17>
= 7 · 13 · 1277 · 592811869241<12>
(62·1017-17)/9 =
688888888888888887<18>
= 3 · 8191 · 28034382814019<14>
(62·1018-17)/9 =
6888888888888888887<19>
= 72673 · 94792961469719<14>
(62·1019-17)/9 =
68888888888888888887<20>
= 53 · 1576973 · 824231205223<12>
(62·1020-17)/9 =
688888888888888888887<21>
= 3 · 3803 · 30703 · 1966621520681<13>
(62·1021-17)/9 =
6888888888888888888887<22>
= 356219 · 30844927 · 626972299
(62·1022-17)/9 =
68888888888888888888887<23>
= 72 · 13 · 281 · 7541 · 17359 · 2940016609<10>
(62·1023-17)/9 =
688888888888888888888887<24>
= 32 · 219446921 · 348800564290183<15>
(62·1024-17)/9 =
6888888888888888888888887<25>
= 19 · 439 · 653 · 1264788410996747719<19>
(62·1025-17)/9 =
68888888888888888888888887<26>
= 193 · 401 · 55157803 · 16137659176853<14>
(62·1026-17)/9 =
688888888888888888888888887<27>
= 3 · 577 · 15299 · 26012917738037004223<20>
(62·1027-17)/9 =
6888888888888888888888888887<28>
= 3853 · 816165602339<12> · 2190644390161<13>
(62·1028-17)/9 =
68888888888888888888888888887<29>
= 7 · 132 · 22172077 · 2626382991754611757<19>
(62·1029-17)/9 =
688888888888888888888888888887<30>
= 3 · 23 · 873749179 · 2109385067<10> · 5416982611<10>
(62·1030-17)/9 =
6888888888888888888888888888887<31>
= 613 · 11237991662135218415805691499<29>
(62·1031-17)/9 =
68888888888888888888888888888887<32>
= 757 · 1433 · 4126783 · 85648247 · 179670592027<12>
(62·1032-17)/9 =
688888888888888888888888888888887<33>
= 32 · 53 · 313 · 3163 · 52571 · 27748597239942064819<20>
(62·1033-17)/9 =
6888888888888888888888888888888887<34>
= definitely prime number
(62·1034-17)/9 =
68888888888888888888888888888888887<35>
= 7 · 13 · 67 · 643 · 8609 · 9834107 · 13564427 · 15301461797<11>
(62·1035-17)/9 =
688888888888888888888888888888888887<36>
= 3 · 453643 · 108193213 · 4678576050412198740131<22>
(62·1036-17)/9 =
6888888888888888888888888888888888887<37>
= 2748971 · 42618091 · 118534171871<12> · 496068281777<12>
(62·1037-17)/9 =
68888888888888888888888888888888888887<38>
= 661 · 4271 · 423229 · 57655763934786843313941113<26>
(62·1038-17)/9 =
688888888888888888888888888888888888887<39>
= 3 · 71 · 23026695379<11> · 140455244766826006345445081<27>
(62·1039-17)/9 =
6888888888888888888888888888888888888887<40>
= 131 · 809 · 4937 · 4771490670179<13> · 2759384094296237711<19>
(62·1040-17)/9 =
68888888888888888888888888888888888888887<41>
= 7 · 13 · 59 · 223 · 463 · 229647689 · 541137763838412324769543<24>
(62·1041-17)/9 =
688888888888888888888888888888888888888887<42>
= 33 · 29 · 45341 · 8588429581<10> · 2259345063627880789245409<25>
(62·1042-17)/9 =
6888888888888888888888888888888888888888887<43>
= 19 · 389 · 3054589 · 321604523 · 948792070289828102284631<24>
(62·1043-17)/9 =
68888888888888888888888888888888888888888887<44>
= 179 · 13116659 · 93634936768113947<17> · 313353824318544461<18>
(62·1044-17)/9 =
688888888888888888888888888888888888888888887<45>
= 3 · 94531 · 2429146307873921037856678017048689103359<40>
(62·1045-17)/9 =
6888888888888888888888888888888888888888888887<46>
= 53 · 449 · 1742753 · 6924479 · 36349618579<11> · 659939570554378727<18>
(62·1046-17)/9 =
68888888888888888888888888888888888888888888887<47>
= 7 · 13 · 757020757020757020757020757020757020757020757<45>
(62·1047-17)/9 =
688888888888888888888888888888888888888888888887<48>
= 3 · 91185097 · 2518280258336837977258823660950096150357<40>
(62·1048-17)/9 =
6888888888888888888888888888888888888888888888887<49>
= 1759 · 35285540569<11> · 110990693618290083879447339745116497<36>
(62·1049-17)/9 =
68888888888888888888888888888888888888888888888887<50>
= 61 · 347 · 102547 · 31737075908844785112244327735965022324163<41>
(62·1050-17)/9 =
688888888888888888888888888888888888888888888888887<51>
= 32 · 281 · 9833 · 25667 · 50053 · 792257 · 1312559 · 20735961076187606047807<23>
(62·1051-17)/9 =
6888888888888888888888888888888888888888888888888887<52>
= 23 · 29581 · 746587847 · 149473470409411<15> · 90732621411181054457297<23>
(62·1052-17)/9 =
68888888888888888888888888888888888888888888888888887<53>
= 7 · 13 · 18891329 · 812332538323<12> · 49330035364661347762564271972471<32>
(62·1053-17)/9 =
688888888888888888888888888888888888888888888888888887<54>
= 3 · 47 · 2549 · 74078951 · 70345061723<11> · 2818693603151<13> · 130492010731414141<18>
(62·1054-17)/9 =
6888888888888888888888888888888888888888888888888888887<55>
= 571 · 380591 · 31699656609226116850725073071274695634737279067<47>
(62·1055-17)/9 =
68888888888888888888888888888888888888888888888888888887<56>
= 151 · 916190564650095738426523<24> · 497950780998732283336382992819<30>
(62·1056-17)/9 =
688888888888888888888888888888888888888888888888888888887<57>
= 3 · 947 · 11666693 · 5990470097815634917<19> · 3469519012985773345180621447<28>
(62·1057-17)/9 =
6888888888888888888888888888888888888888888888888888888887<58>
= 18927577213<11> · 363960416664284083451166470689324398577947509699<48>
(62·1058-17)/9 =
68888888888888888888888888888888888888888888888888888888887<59>
= 7 · 13 · 53 · 257 · 757 · 106123 · 1674646228160981<16> · 413114388181680162021449833787<30>
(62·1059-17)/9 =
688888888888888888888888888888888888888888888888888888888887<60>
= 32 · 1103 · 958423381 · 1261720001<10> · 4141729891184311<16> · 13855716805615077100891<23>
(62·1060-17)/9 =
6888888888888888888888888888888888888888888888888888888888887<61>
= 19 · 59216052606317<14> · 6122885323438908384352683365983918650120435169<46>
(62·1061-17)/9 =
68888888888888888888888888888888888888888888888888888888888887<62>
= 209267 · 4398811 · 10163243540587<14> · 7363440749409338116065549750825015173<37>
(62·1062-17)/9 =
688888888888888888888888888888888888888888888888888888888888887<63>
= 3 · 17395246308847421389<20> · 718728474962797920779<21> · 18366757480535238375859<23>
(62·1063-17)/9 =
6888888888888888888888888888888888888888888888888888888888888887<64>
= 1085269 · 6347632604348681192302451179282637658395189477345145663323<58>
(62·1064-17)/9 =
68888888888888888888888888888888888888888888888888888888888888887<65>
= 72 · 13 · 6761 · 31333 · 510501277341174910290523197961682840130130636992991727<54>
(62·1065-17)/9 =
688888888888888888888888888888888888888888888888888888888888888887<66>
= 3 · 331097783323<12> · 2853848736859030221580201<25> · 243019264291158568556809803823<30>
(62·1066-17)/9 =
6888888888888888888888888888888888888888888888888888888888888888887<67>
= 1847 · 10889 · 438900017429<12> · 389406323337533<15> · 2004129077768476109607486714561977<34>
(62·1067-17)/9 =
68888888888888888888888888888888888888888888888888888888888888888887<68>
= 67 · 8837 · 1235249 · 94192215349686729863669894047056589199328148230725953897<56>
(62·1068-17)/9 =
688888888888888888888888888888888888888888888888888888888888888888887<69>
= 36 · 3012430503983<13> · 6873935612717<13> · 147735983464447429<18> · 308896414797381527796737<24>
(62·1069-17)/9 =
6888888888888888888888888888888888888888888888888888888888888888888887<70>
= 29 · 3433 · 12483959 · 5542746865794359852291538480403661727001933568335409026349<58>
(62·1070-17)/9 =
68888888888888888888888888888888888888888888888888888888888888888888887<71>
= 7 · 13 · 109 · 17077 · 43161915770078635048868443<26> · 9422561885514085246481303034915136543<37>
(62·1071-17)/9 =
688888888888888888888888888888888888888888888888888888888888888888888887<72>
= 3 · 53 · 167 · 620933 · 17316902449930378515050711<26> · 2412796158395389239805259627735016533<37>
(62·1072-17)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888887<73>
= definitely prime number
(62·1073-17)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888887<74>
= 23 · 71 · 2732013763<10> · 15441166732489144712222865361774887090583849539416435573585053<62>
(62·1074-17)/9 =
688888888888888888888888888888888888888888888888888888888888888888888888887<75>
= 3 · 229629629629629629629629629629629629629629629629629629629629629629629629629<75>
(62·1075-17)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888888887<76>
= 181 · 811 · 6571 · 7141974311728595059407788418528125422391263907348142248631621307667<67>
(62·1076-17)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888888887<77>
= 7 · 13 · 7589 · 119945114665691104787<21> · 831650151464276513355168829340570935616954251765099<51>
(62·1077-17)/9 =
688888888888888888888888888888888888888888888888888888888888888888888888888887<78>
= 32 · 449 · 11243 · 15162755043928983651999295949262408636850052876562087506572901461189949<71>
(62·1078-17)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888888888887<79>
= 19 · 281 · 4441 · 1715784547<10> · 98647297350583734733115442977<29> · 1716566143816214988429603487189727<34>
(62·1079-17)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888888888887<80>
= 5303 · 71239997 · 33976636067947243535962593697<29> · 5366897266371928561155795740823932068981<40>
(62·1080-17)/9 =
688888888888888888888888888888888888888888888888888888888888888888888888888888887<81>
= 3 · 332483685599678239713077<24> · 690649314764007937089925203125518809806648466778955395177<57>
(62·1081-17)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888888888888887<82>
= 613 · 853 · 54805264807<11> · 240390551529722912673049587832304525204701508509094857446482972969<66>
(62·1082-17)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888888888888887<83>
= 7 · 13 · 462977024940623<15> · 567652496262847757<18> · 2880486179751125594285861312196244301507390047687<49>
(62·1083-17)/9 =
688888888888888888888888888888888888888888888888888888888888888888888888888888888887<84>
= 3 · 443 · 518351308419028509321963046568012707967561240698938215868238441601872753114288103<81>
(62·1084-17)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888888888888888887<85>
= 53 · 263 · 6172279 · 20185239409<11> · 90739146723749<14> · 43716301984567781345525377402370337117202436338447<50>
(62·1085-17)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888888888888888887<86>
= 757 · 28605364439<11> · 8699513739130626473<19> · 380966107079456109839521<24> · 959896696404661335603077299093<30>
(62·1086-17)/9 =
688888888888888888888888888888888888888888888888888888888888888888888888888888888888887<87>
= 32 · 1129 · 66034206413762092417<20> · 20481428533763811492502292819<29> · 50128362869833721423277221628240029<35>
(62·1087-17)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<88>
= 16979 · 11242163 · 36090025913648329251929302907340683062580767466230467796539544953359589268031<77>
(62·1088-17)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<89>
= 7 · 13 · 6549269 · 115588588134150089232404525912854857657705120528834137177297307076676346742975553<81>
(62·1089-17)/9 =
688888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<90>
= 3 · 113 · 42968324951<11> · 2288797161203257<16> · 20663017901620876421990920887066390251181664144038741027788819<62>
(62·1090-17)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<91>
= 822354802729<12> · 8377027611473758695367256820573850879866998815756713672357499800603428025278303<79>
(62·1091-17)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<92>
= 724639 · 64184925617755191962111913269322613<35> · 1481134280840397330131038535863601746915766818552741<52> (Makoto Kamada / GGNFS-0.71.1 / 0.29 hours)
(62·1092-17)/9 =
688888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<93>
= 3 · 877 · 6353 · 6266497 · 2768621115652101509278490322938151137<37> · 2375533250819228835256352769404216259062881<43> (Makoto Kamada / GGNFS-0.71.1 / 0.23 hours)
(62·1093-17)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<94>
= 10162434907<11> · 60624806410632334603104026560489141<35> · 11181524981090539529256421894160674310826440212001<50> (Makoto Kamada / GGNFS-0.71.1 / 0.47 hours)
(62·1094-17)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<95>
= 7 · 13 · 607 · 201845497918007<15> · 2397160091579611<16> · 15677558801990399<17> · 164408608014137378564497166576854964550017737<45>
(62·1095-17)/9 =
688888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<96>
= 33 · 23 · 4597 · 34357241 · 7023681261999467351373856176440427195402325692355260660531950807175567187960941311<82>
(62·1096-17)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<97>
= 19 · 1681411 · 13235334344201<14> · 14065871078784063551<20> · 17012656500930398414531641<26> · 68084462340304427751923146491473<32>
(62·1097-17)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<98>
= 29 · 53 · 827 · 38461 · 4328923220953423<16> · 325513757304321840518402585721888540373903296064244200322261166009344471<72>
(62·1098-17)/9 =
688888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<99>
= 3 · 59 · 152017729 · 454827521 · 2495306423394262942841479296870639169<37> · 22558543375944845722825299869952521855982311<44> (Makoto Kamada / GGNFS-0.71.1 / 0.44 hours)
(62·1099-17)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<100>
= 47 · 97 · 574667 · 410776243 · 6401150094708456201675979243990459714406685236622760999533085498316902038385686953<82>
(62·10100-17)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<101>
= 7 · 13 · 67 · 175523 · 3777899 · 185182834561<12> · 402342508586153<15> · 21056979800321761<17> · 1500812403357475163<19> · 7236515074238306270633917<25>
(62·10101-17)/9 =
6(8)1007<102>
= 3 · 34603 · 150343 · 86564673539<11> · 55730088472394867647057613286146520119<38> · 9149566805684807827142288037518102383281661<43> (Makoto Kamada / Msieve 1.42 for P38 x P43 / Oct 19, 2009)
(62·10102-17)/9 =
6(8)1017<103>
= 154297824510226613<18> · 80336663630804915017227097<26> · 555745027561344304294760134695184961949400922128233445974067<60>
(62·10103-17)/9 =
6(8)1027<104>
= 8301041583370987531<19> · 935821881014050738831123008109811617879289<42> · 8867953254436831317618185581870422405366893<43> (Erik Branger / Msieve for P42 x P43 / 0.83 hours / Oct 22, 2009)
(62·10104-17)/9 =
6(8)1037<105>
= 32 · 311 · 1009 · 3527 · 2998262977<10> · 18221471145755072823803033<26> · 4922432380767777281092230371<28> · 257167887279140034588683194471181<33>
(62·10105-17)/9 =
6(8)1047<106>
= 146911733981963248997148943<27> · 46891345586695317430701288580031153794795433466488368447858184827713144956958809<80>
(62·10106-17)/9 =
6(8)1057<107>
= 72 · 132 · 281 · 315110192941<12> · 834058037054887<15> · 7350636066220135628433388799642867<34> · 15324151295785506456307687788488099503303<41> (Makoto Kamada / Msieve 1.42 for P34 x P41 / Oct 19, 2009)
(62·10107-17)/9 =
6(8)1067<108>
= 3 · 64491293756081752461179581215688846049520648869<47> · 3560629912281373017071203551569816106852159704383341998954041<61> (Erik Branger / GGNFS, Msieve snfs / 0.79 hours / Oct 22, 2009)
(62·10108-17)/9 =
6(8)1077<109>
= 71 · 6691 · 46859901000776781131465690847842935612263181<44> · 309455663057323235274691052519448169795958335578466652421607<60> (Serge Batalov / Msieve 1.44 snfs / 0.57 hours / Oct 23, 2009)
(62·10109-17)/9 =
6(8)1087<110>
= 61 · 233 · 449 · 48978172804973327<17> · 373226485798271546570745311604637<33> · 590530112548685105063077860747536971066839589208013449<54> (Sinkiti Sibata / Msieve 1.42 for P33 x P54 / 0.72 hours / Oct 22, 2009)
(62·10110-17)/9 =
6(8)1097<111>
= 3 · 53 · 2300021 · 517718138007541<15> · 34175041639276303340196029466299407<35> · 106467687573370376329491577608022327612581959057576959<54> (Sinkiti Sibata / Msieve 1.42 for P35 x P54 / 0.69 hours / Oct 22, 2009)
(62·10111-17)/9 =
6(8)1107<112>
= 3962587 · 482246250193<12> · 660147994517388539314411545518085157537248401<45> · 5460849429187019232147638751889511274742905293557<49> (Sinkiti Sibata / Msieve 1.42 for P45 x P49 / 3.21 hours / Oct 23, 2009)
(62·10112-17)/9 =
6(8)1117<113>
= 7 · 13 · 307 · 757 · 2774801 · 1173928619218609932796528029444766249392085286058328095123799417066604682972039339140388792066616043<100>
(62·10113-17)/9 =
6(8)1127<114>
= 32 · 27241 · 48211099649<11> · 58282287241681915830555925519966608081310042537998502430141139580733292273242310190748800455015527<98>
(62·10114-17)/9 =
6(8)1137<115>
= 19 · 1524023 · 154405498166514589<18> · 1540782357332920117140710030921365183050052635281034287468809280884446663818578597286567959<91>
(62·10115-17)/9 =
6(8)1147<116>
= 1223 · 16087 · 610391 · 2098127553413<13> · 49513023250993<14> · 5536343621708267<16> · 9973903686677920354550961465187583661723332445157280574591319<61>
(62·10116-17)/9 =
6(8)1157<117>
= 3 · 640193 · 1147139729<10> · 7400145083281<13> · 42253282063012083869297625272415280940538351421528700814405396253747295609170518872981597<89>
(62·10117-17)/9 =
6(8)1167<118>
= 23 · 151057752900210437<18> · 404249910278895093851<21> · 10906571897738431998383186269687<32> · 449717849514279326026011374049394680405421855201<48> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=4069194919 for P32 / Oct 19, 2009)
(62·10118-17)/9 =
6(8)1177<119>
= 7 · 13 · 797 · 1637 · 10495884173<11> · 1107425712352658416164331896759556635993194543<46> · 49919146890014271345218701495435856544040574826259751767<56> (Erik Branger / GGNFS, Msieve snfs / 1.39 hours / Oct 22, 2009)
(62·10119-17)/9 =
6(8)1187<120>
= 3 · 14153 · 827334877 · 27911829017<11> · 380014293659443<15> · 1848884823689731472942139433695822037591802913073022714680101825115324100274769339<82>
(62·10120-17)/9 =
6(8)1197<121>
= 394631 · 2369903 · 7594172987407<13> · 969944591332626952826662753039220673916582514728270366006414807564574378419344802429655808045137<96>
(62·10121-17)/9 =
6(8)1207<122>
= 19727 · 3492111770106396760221467475484812130019206614735585182181218071115166466715105636381045718501996699391133415566933081<118>
(62·10122-17)/9 =
6(8)1217<123>
= 33 · 631 · 1511 · 10549896122063<14> · 1002846213809401186471<22> · 2529350818175505380240477239181346927512145682748387224983351057597332908995059917<82>
(62·10123-17)/9 =
6(8)1227<124>
= 53 · 184293576409<12> · 20905603033411<14> · 392527276580969<15> · 85946970243110118006823742249995045030924131939633830212411056741650447165403197609<83>
(62·10124-17)/9 =
6(8)1237<125>
= 7 · 13 · 565929251 · 243301560941<12> · 99814881408334166492104918462203337432729043<44> · 55081461574459782075149704562271031348782495790432760592689<59> (Erik Branger / GGNFS, Msieve snfs / 1.66 hours / Oct 22, 2009)
(62·10125-17)/9 =
6(8)1247<126>
= 3 · 29 · 17623 · 997057 · 122548958754829<15> · 3677227283562457818376700237964338258085166196575401276351593918985937007698985793348423738935524579<100>
(62·10126-17)/9 =
6(8)1257<127>
= 126222973133549<15> · 17478016109900362123148044512875872521564383<44> · 3122616420509176390118982265005374742402752146903093305407083770722861<70> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 2.44 hours / Oct 29, 2009)
(62·10127-17)/9 =
6(8)1267<128>
= 139597 · 138324689 · 314000923 · 4703626278524051<16> · 3346453247935573999<19> · 301724694587781389789<21> · 2392291192131545280319516608769865870263492404633713<52>
(62·10128-17)/9 =
6(8)1277<129>
= 3 · 1657 · 105522593823052741<18> · 4736156499474908470847<22> · 19238524155145887995567897573406759382183<41> · 14413258025958972317973107989704103083120550217<47> (Sinkiti Sibata / Msieve 1.42 for P41 x P47 / 0.82 hours / Oct 29, 2009)
(62·10129-17)/9 =
6(8)1287<130>
= 36062795016319<14> · 191024818951818761369277076890564258014714909433579850975008989204184456420136119359819103235231793409056099291430473<117>
(62·10130-17)/9 =
6(8)1297<131>
= 7 · 13 · 1512 · 619 · 1091 · 4691 · 3632610707018230033248932603<28> · 2216843675469889748033783817831646405793<40> · 1301424962816481848646950520141595158687854696197<49> (Sinkiti Sibata / Msieve 1.42 for P40 x P49 / 0.69 hours / Oct 29, 2009)
(62·10131-17)/9 =
6(8)1307<132>
= 32 · 149 · 491 · 11833 · 88418683770624085304874815000174317363748395246578491903518960602025922409818633330192229644118054910848761943821253553169<122>
(62·10132-17)/9 =
6(8)1317<133>
= 19 · 613 · 201743 · 617139329239<12> · 119878465627047967393<21> · 813639966062138558773<21> · 48705718810619430543041587675635068317680783569685234002307274666280557<71>
(62·10133-17)/9 =
6(8)1327<134>
= 67 · 190283 · 14714158181<11> · 12322779843664337873477<23> · 29800961570487711320414863642091503807691182019640218790931890303798929155927395263176383291791<95>
(62·10134-17)/9 =
6(8)1337<135>
= 3 · 281 · 695069 · 6140614031801329058767488731<28> · 191461688797723875627574976022117128827915858248597925317014726265687855786598434350920067112271531<99>
(62·10135-17)/9 =
6(8)1347<136>
= 3006133944868273649904641611835927<34> · 2291610758279353520262479427436718759759968530711012838648548023370471952701819314481826902624062304481<103> (Dmitry Domanov / GGNFS/msieve snfs / 4.00 hours / Oct 29, 2009)
(62·10136-17)/9 =
6(8)1357<137>
= 7 · 13 · 53 · 69581581 · 1013310464338031<16> · 21445140596559027674445600227216279078028913<44> · 9446397147569998958870814273587432081956274848493168972552660851483<67> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 7.69 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 29, 2009)
(62·10137-17)/9 =
6(8)1367<138>
= 3 · 291481 · 86289056598128931947<20> · 3455865035655610614347<22> · 35867945773611221296601<23> · 73654396574446117753102635466042940986973869772055171245944064247701<68>
(62·10138-17)/9 =
6(8)1377<139>
= 127867 · 32744763151<11> · 971875626191891557665240752440339768261<39> · 1692926721964495127439620152695166412870828555923484903620152946476576710419052305151<85> (Sinkiti Sibata / Msieve 1.40 snfs / 7.31 hours / Oct 31, 2009)
(62·10139-17)/9 =
6(8)1387<140>
= 23 · 757 · 18719 · 30161 · 130303 · 696107 · 2665811 · 5686673 · 926007323380718041367848667604976818917<39> · 5503825234459097628568763534609341243640504139868724244565262153<64> (Sinkiti Sibata / Msieve 1.40 snfs / 6.59 hours / Oct 29, 2009)
(62·10140-17)/9 =
6(8)1397<141>
= 32 · 479 · 2663 · 25237 · 4157699964847379<16> · 189991277415596029678484840140503978996511068131431747<54> · 3010062092706075056003895448693420219313246593121390246857139<61> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 10.49 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Nov 1, 2009)
(62·10141-17)/9 =
6(8)1407<142>
= 449 · 643 · 739570927 · 2076569140741<13> · 12449586199568989558573448867<29> · 1247988902077611754486563333046373100040151974373538545203846142963842189794646273724189<88> (Jo Yeong Uk / GMP-ECM 6.2.3 B1=1000000, sigma=5231726309 for P29 / Oct 30, 2009)
(62·10142-17)/9 =
6(8)1417<143>
= 7 · 13 · 2173389745922927702807531<25> · 358166541419012241609637868825419291785725536283<48> · 972490037068366127364333661129741553894152723185471642264624912216109<69> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 17.57 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Nov 2, 2009)
(62·10143-17)/9 =
6(8)1427<144>
= 3 · 71 · 601 · 109147 · 4171427160830694740039<22> · 11819487257994497934188800958452500643961899670795946639071235054085421029270089409060755967555674793614649066703<113>
(62·10144-17)/9 =
6(8)1437<145>
= 67297571867<11> · 102364597975442270333656477878060748561195765688662968784090215575279410680686229057716337129743131403681627110983220830755339277015061<135>
(62·10145-17)/9 =
6(8)1447<146>
= 47 · 581869 · 1244972408853377<16> · 2023328390293552879562223909771735036784916712902809904856797576682679236091930231483130466469945231067804007778611861949117<124>
(62·10146-17)/9 =
6(8)1457<147>
= 3 · 467 · 8199181 · 1362518920977791402556581436857353<34> · 44014728682733656162984696344578934532017463783335918028526772701777175353463305906690407115138338099859<104> (Sinkiti Sibata / Msieve 1.40 snfs / 13.52 hours / Oct 31, 2009)
(62·10147-17)/9 =
6(8)1467<148>
= 433 · 21503 · 127314740505811<15> · 7380239265137471589931683785983880322126223<43> · 787432068869086227477331279235335612534521397355267720469263971274835068264710154221<84> (Sinkiti Sibata / Msieve 1.40 snfs / 16.55 hours / Nov 4, 2009)
(62·10148-17)/9 =
6(8)1477<149>
= 72 · 13 · 33403 · 2587105617619<13> · 248476266691661817327986323<27> · 77534847850900282536204141003399873814651531<44> · 64957344590901786161929874304410491618727520507584961391411<59> (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 gnfs for P44 x P59 / 12.94 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Oct 30, 2009)
(62·10149-17)/9 =
6(8)1487<150>
= 34 · 53 · 563 · 3259 · 12479 · 27827 · 1543019 · 317866189 · 30231364087<11> · 1303276091026529<16> · 14990515629278420189522772956896539661364399<44> · 869406757400744216491505254904358858761686953217<48> (Sinkiti Sibata / Msieve 1.42 for P44 x P48 / 1.87 hours / Oct 29, 2009)
(62·10150-17)/9 =
6(8)1497<151>
= 19 · 96457 · 54014052471186550121<20> · 7152115416516333263116824921083071837423457619295848531485227<61> · 9730172787565460411900025374086137070224048862984493336589028567<64> (Sinkiti Sibata / Msieve 1.40 snfs / 17.64 hours / Nov 7, 2009)

4. References

Copyright (C) 1999-2009 Makoto Kamada All Rights Reserved.