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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

Sep 19, 2010

Searched up to

n≤30000

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)
  10. (62·1013947-17)/9 = 6(8)139467<13948> is PRP. (Ray Chandler / srsieve, PFGW / Sep 9, 2010)
  11. (62·1014887-17)/9 = 6(8)148867<14888> is PRP. (Ray Chandler / srsieve, PFGW / Sep 15, 2010)

3. Factorizations of 688...887

Last update

Feb 9, 2012

Completed up to

Range

n≤250

Terms which have not been factored yet

n=181, 184, 186, 188, 202, 203, 204, 205, 207, 210, 211, 214, 215, 216, 217, 219, 220, 221, 223, 224, 225, 228, 229, 230, 232, 233, 234, 235, 237, 238, 239, 240, 241, 242, 243, 244, 245, 247, 249, 250 (40/250)

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 =
6(8)507<52>
= 23 · 29581 · 746587847 · 149473470409411<15> · 90732621411181054457297<23>
(62·1052-17)/9 =
6(8)517<53>
= 7 · 13 · 18891329 · 812332538323<12> · 49330035364661347762564271972471<32>
(62·1053-17)/9 =
6(8)527<54>
= 3 · 47 · 2549 · 74078951 · 70345061723<11> · 2818693603151<13> · 130492010731414141<18>
(62·1054-17)/9 =
6(8)537<55>
= 571 · 380591 · 31699656609226116850725073071274695634737279067<47>
(62·1055-17)/9 =
6(8)547<56>
= 151 · 916190564650095738426523<24> · 497950780998732283336382992819<30>
(62·1056-17)/9 =
6(8)557<57>
= 3 · 947 · 11666693 · 5990470097815634917<19> · 3469519012985773345180621447<28>
(62·1057-17)/9 =
6(8)567<58>
= 18927577213<11> · 363960416664284083451166470689324398577947509699<48>
(62·1058-17)/9 =
6(8)577<59>
= 7 · 13 · 53 · 257 · 757 · 106123 · 1674646228160981<16> · 413114388181680162021449833787<30>
(62·1059-17)/9 =
6(8)587<60>
= 32 · 1103 · 958423381 · 1261720001<10> · 4141729891184311<16> · 13855716805615077100891<23>
(62·1060-17)/9 =
6(8)597<61>
= 19 · 59216052606317<14> · 6122885323438908384352683365983918650120435169<46>
(62·1061-17)/9 =
6(8)607<62>
= 209267 · 4398811 · 10163243540587<14> · 7363440749409338116065549750825015173<37>
(62·1062-17)/9 =
6(8)617<63>
= 3 · 17395246308847421389<20> · 718728474962797920779<21> · 18366757480535238375859<23>
(62·1063-17)/9 =
6(8)627<64>
= 1085269 · 6347632604348681192302451179282637658395189477345145663323<58>
(62·1064-17)/9 =
6(8)637<65>
= 72 · 13 · 6761 · 31333 · 510501277341174910290523197961682840130130636992991727<54>
(62·1065-17)/9 =
6(8)647<66>
= 3 · 331097783323<12> · 2853848736859030221580201<25> · 243019264291158568556809803823<30>
(62·1066-17)/9 =
6(8)657<67>
= 1847 · 10889 · 438900017429<12> · 389406323337533<15> · 2004129077768476109607486714561977<34>
(62·1067-17)/9 =
6(8)667<68>
= 67 · 8837 · 1235249 · 94192215349686729863669894047056589199328148230725953897<56>
(62·1068-17)/9 =
6(8)677<69>
= 36 · 3012430503983<13> · 6873935612717<13> · 147735983464447429<18> · 308896414797381527796737<24>
(62·1069-17)/9 =
6(8)687<70>
= 29 · 3433 · 12483959 · 5542746865794359852291538480403661727001933568335409026349<58>
(62·1070-17)/9 =
6(8)697<71>
= 7 · 13 · 109 · 17077 · 43161915770078635048868443<26> · 9422561885514085246481303034915136543<37>
(62·1071-17)/9 =
6(8)707<72>
= 3 · 53 · 167 · 620933 · 17316902449930378515050711<26> · 2412796158395389239805259627735016533<37>
(62·1072-17)/9 =
6(8)717<73>
= definitely prime number
(62·1073-17)/9 =
6(8)727<74>
= 23 · 71 · 2732013763<10> · 15441166732489144712222865361774887090583849539416435573585053<62>
(62·1074-17)/9 =
6(8)737<75>
= 3 · 229629629629629629629629629629629629629629629629629629629629629629629629629<75>
(62·1075-17)/9 =
6(8)747<76>
= 181 · 811 · 6571 · 7141974311728595059407788418528125422391263907348142248631621307667<67>
(62·1076-17)/9 =
6(8)757<77>
= 7 · 13 · 7589 · 119945114665691104787<21> · 831650151464276513355168829340570935616954251765099<51>
(62·1077-17)/9 =
6(8)767<78>
= 32 · 449 · 11243 · 15162755043928983651999295949262408636850052876562087506572901461189949<71>
(62·1078-17)/9 =
6(8)777<79>
= 19 · 281 · 4441 · 1715784547<10> · 98647297350583734733115442977<29> · 1716566143816214988429603487189727<34>
(62·1079-17)/9 =
6(8)787<80>
= 5303 · 71239997 · 33976636067947243535962593697<29> · 5366897266371928561155795740823932068981<40>
(62·1080-17)/9 =
6(8)797<81>
= 3 · 332483685599678239713077<24> · 690649314764007937089925203125518809806648466778955395177<57>
(62·1081-17)/9 =
6(8)807<82>
= 613 · 853 · 54805264807<11> · 240390551529722912673049587832304525204701508509094857446482972969<66>
(62·1082-17)/9 =
6(8)817<83>
= 7 · 13 · 462977024940623<15> · 567652496262847757<18> · 2880486179751125594285861312196244301507390047687<49>
(62·1083-17)/9 =
6(8)827<84>
= 3 · 443 · 518351308419028509321963046568012707967561240698938215868238441601872753114288103<81>
(62·1084-17)/9 =
6(8)837<85>
= 53 · 263 · 6172279 · 20185239409<11> · 90739146723749<14> · 43716301984567781345525377402370337117202436338447<50>
(62·1085-17)/9 =
6(8)847<86>
= 757 · 28605364439<11> · 8699513739130626473<19> · 380966107079456109839521<24> · 959896696404661335603077299093<30>
(62·1086-17)/9 =
6(8)857<87>
= 32 · 1129 · 66034206413762092417<20> · 20481428533763811492502292819<29> · 50128362869833721423277221628240029<35>
(62·1087-17)/9 =
6(8)867<88>
= 16979 · 11242163 · 36090025913648329251929302907340683062580767466230467796539544953359589268031<77>
(62·1088-17)/9 =
6(8)877<89>
= 7 · 13 · 6549269 · 115588588134150089232404525912854857657705120528834137177297307076676346742975553<81>
(62·1089-17)/9 =
6(8)887<90>
= 3 · 113 · 42968324951<11> · 2288797161203257<16> · 20663017901620876421990920887066390251181664144038741027788819<62>
(62·1090-17)/9 =
6(8)897<91>
= 822354802729<12> · 8377027611473758695367256820573850879866998815756713672357499800603428025278303<79>
(62·1091-17)/9 =
6(8)907<92>
= 724639 · 64184925617755191962111913269322613<35> · 1481134280840397330131038535863601746915766818552741<52> (Makoto Kamada / GGNFS-0.71.1 / 0.29 hours)
(62·1092-17)/9 =
6(8)917<93>
= 3 · 877 · 6353 · 6266497 · 2768621115652101509278490322938151137<37> · 2375533250819228835256352769404216259062881<43> (Makoto Kamada / GGNFS-0.71.1 / 0.23 hours)
(62·1093-17)/9 =
6(8)927<94>
= 10162434907<11> · 60624806410632334603104026560489141<35> · 11181524981090539529256421894160674310826440212001<50> (Makoto Kamada / GGNFS-0.71.1 / 0.47 hours)
(62·1094-17)/9 =
6(8)937<95>
= 7 · 13 · 607 · 201845497918007<15> · 2397160091579611<16> · 15677558801990399<17> · 164408608014137378564497166576854964550017737<45>
(62·1095-17)/9 =
6(8)947<96>
= 33 · 23 · 4597 · 34357241 · 7023681261999467351373856176440427195402325692355260660531950807175567187960941311<82>
(62·1096-17)/9 =
6(8)957<97>
= 19 · 1681411 · 13235334344201<14> · 14065871078784063551<20> · 17012656500930398414531641<26> · 68084462340304427751923146491473<32>
(62·1097-17)/9 =
6(8)967<98>
= 29 · 53 · 827 · 38461 · 4328923220953423<16> · 325513757304321840518402585721888540373903296064244200322261166009344471<72>
(62·1098-17)/9 =
6(8)977<99>
= 3 · 59 · 152017729 · 454827521 · 2495306423394262942841479296870639169<37> · 22558543375944845722825299869952521855982311<44> (Makoto Kamada / GGNFS-0.71.1 / 0.44 hours)
(62·1099-17)/9 =
6(8)987<100>
= 47 · 97 · 574667 · 410776243 · 6401150094708456201675979243990459714406685236622760999533085498316902038385686953<82>
(62·10100-17)/9 =
6(8)997<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)
(62·10151-17)/9 =
6(8)1507<152>
= 177012576113<12> · 4047959977621324739383324497315953<34> · 5694911562886652100064086925143047<34> · 16881920987852304825734350595337389834035012790200504170855210856974648689<74> (Dmitry Domanov / Msieve 1.40 snfs / 15.21 hours / Dec 28, 2009)
(62·10152-17)/9 =
6(8)1517<153>
= 3 · 4485156049804041541730713786461635746509126915980905370879009<61> · 51197690131575745297593795405577777230216670501663623773806784742397376713905469274611281181<92> (Dmitry Domanov / Msieve 1.40 snfs / 19.01 hours / Dec 28, 2009)
(62·10153-17)/9 =
6(8)1527<154>
= 29 · 487 · 65071 · 660227 · 11353805735890289803759411668269676401453437149968686048474846528645223743931572827225675424056963564410229964020947317543418960954275697657<140>
(62·10154-17)/9 =
6(8)1537<155>
= 7 · 13 · 773 · 15401851 · 147176569 · 1026829371204468875591884387823995295113488792146870822364262703<64> · 420744472487794008753933296277739545654110794197878719322935760915475637<72> (Sinkiti Sibata / Msieve 1.40 snfs / 17.71 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Dec 29, 2009)
(62·10155-17)/9 =
6(8)1547<156>
= 3 · 11393 · 136091729 · 364352628664021<15> · 406477198921390291242667303144734907023400811083976457834197827446986940879373870263977792844807417277861884039310781282602394617<129>
(62·10156-17)/9 =
6(8)1557<157>
= 59 · 9473 · 14852365756609811<17> · 4021175939364551202146123761<28> · 50102745478728538519480471631<29> · 4119072116091035088749336848932015616737486180392854928027778959251193976535241<79>
(62·10157-17)/9 =
6(8)1567<158>
= 182471 · 32262489113446279<17> · 583076259564676609<18> · 79199756649442580167690754502972836791<38> · 253400956950674067705962804410100579045892867250734425651233452181268592909886097<81> (juno1369 / ggnfs + msieve snfs / 40.77 hours / Jan 14, 2010)
(62·10158-17)/9 =
6(8)1577<159>
= 32 · 13278055981<11> · 3729607160220133<16> · 24128216109206994313<20> · 86422452619972361118106266406802123<35> · 741237331861712066525872768467489173814629660231395093734246312949293617953909<78> (Jo Yeong Uk / GGNFS/Msieve v1.39 gnfs for P35 x P78 / 12.50 hours on Core 2 Quad Q6700 / Jan 17, 2010)
(62·10159-17)/9 =
6(8)1587<160>
= 6584611677402198114910969845691<31> · 1046210350191332180247201154057035455210642993066827454326725427258674254137138313884415667304490230359162513639744578702477829557<130> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3837384222 for P31 / Dec 26, 2009)
(62·10160-17)/9 =
6(8)1597<161>
= 7 · 13 · 1621 · 15165929 · 56108557 · 548815861729444117478446808935967756545208639876996450836538319871344136118830043454561693112619752171729411394945454917815615129626615819389<141>
(62·10161-17)/9 =
6(8)1607<162>
= 3 · 23 · 379 · 431 · 340709227 · 541604333 · 86473422949<11> · 1462340735249<13> · 142082690790096604393018939616264882701<39> · 18435086607885502967932198250203819276373239610147928301198521230687898186497<77> (Sinkiti Sibata / Msieve 1.42 snfs / 27 hours / Dec 30, 2009)
(62·10162-17)/9 =
6(8)1617<163>
= 53 · 281 · 787 · 170714703003280470133634396131864675713566538877783519703<57> · 3442875604307881278656554283553885093886898056526724236175021919189015996241344174711613430603352519<100> (Dmitry Domanov / GGNFS/msieve snfs / 36.58 hours / Dec 28, 2009)
(62·10163-17)/9 =
6(8)1627<164>
= 182549 · 1734800153<10> · 99779807825611485807092175403<29> · 79065716072455711928517866988968112693114807000583195649<56> · 27573341415776479378317601325239672547621360849281548378779049593<65> (Sinkiti Sibata / Msieve 1.40 snfs / 37.26 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Dec 31, 2009)
(62·10164-17)/9 =
6(8)1637<165>
= 3 · 5641421021<10> · 285502977847<12> · 539585993413<12> · 123038450359812209<18> · 46132050774445157041457703051919851278421741943904993501<56> · 46550514862387131129645799428300452457298173087778645949351<59> (Sinkiti Sibata / Msieve 1.42 gnfs for P56 x P59 / 25 hours / Jan 19, 2010)
(62·10165-17)/9 =
6(8)1647<166>
= 37117 · 1092667 · 39064177 · 67854888103<11> · 28342864826939074534613<23> · 58484835192762339875461<23> · 38658202125990051498419271154605734321215571426639745404838673493792677310874384109736496151<92>
(62·10166-17)/9 =
6(8)1657<167>
= 7 · 13 · 67 · 757 · 863154301 · 197785303270946483716033721<27> · 4137686402001843140258462188230639643495955766628206257<55> · 21129882253245918468424943089958849211276316923889531638114901228480399<71> (Sinkiti Sibata / Msieve 1.40 snfs / 45.59 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Jan 3, 2010)
(62·10167-17)/9 =
6(8)1667<168>
= 32 · 367 · 3757981 · 1084555669<10> · 298364665307<12> · 1978009557079447<16> · 36071412874422708143<20> · 7676159581782659296892429<25> · 40840305653933537212777989423915161<35> · 7667649822631545534490580018235217314756127<43> (Makoto Kamada / Msieve 1.44 for P35 x P43 / Dec 27, 2009)
(62·10168-17)/9 =
6(8)1677<169>
= 19 · 302612953 · 4554820079<10> · 10427121117573378475972549<26> · 61793819761427950143249447775857096275756762572862519<53> · 408251114584542390841950774836334355024555272957463389224129714564716409<72> (Sinkiti Sibata / Msieve 1.40 snfs / 58.06 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Jan 22, 2010)
(62·10169-17)/9 =
6(8)1687<170>
= 61 · 131 · 67061119 · 11045145967<11> · 11638735372148325985893209437842104819249549368175738871710740342519897916974410925434531250117794554250336816317167609552037177886378920281979450609<149>
(62·10170-17)/9 =
6(8)1697<171>
= 3 · 66051761 · 47072453577737859413870621<26> · 308462042770859007351004189313659133921073269762721483424130887<63> · 239428011361807653350709276370554219787335776968455289822613828100858121607<75> (Sinkiti Sibata / Msieve 1.40 snfs / 69.69 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Feb 3, 2010)
(62·10171-17)/9 =
6(8)1707<172>
= 152464632569<12> · 2118987708469<13> · 21323163209758072196896887784193947662554486861881654178754438481188355814351832138493136281232211865829232749939407669235870733832353225978662797267<149>
(62·10172-17)/9 =
6(8)1717<173>
= 7 · 13 · 327331 · 6243673 · 69515071 · 5985427907<10> · 3885996569344480747799<22> · 570192696140059052183037878603329731172433<42> · 401774401788563581614716017843673000616233588224769894702437614090574516148861<78> (Jeff Gilchrist / factmsieve.py + ggnfs + msieve 1.43 gnfs for P42 x P78 / 9.85 hours on Core2 Quad @ 3.4GHz Windows7 64bit / Jan 4, 2010)
(62·10173-17)/9 =
6(8)1727<174>
= 3 · 449 · 3373 · 12391 · 1779933962204838577794778107350198677<37> · 6874719713829362893496953203079061449067418021995660990851832258816780206217914741332761472850166522708379274826914253812140011<127> (Wataru Sakai / GMP-ECM 6.2.1 B1=3000000, sigma=3339786019 for P37 / Mar 1, 2010)
(62·10174-17)/9 =
6(8)1737<175>
= 884693 · 3993193 · 1950007527883131046951047968730773093417730590672550077918181909236558776575171377029863843368222565207750930456409898904957089670802500553541256712096723259155363<163>
(62·10175-17)/9 =
6(8)1747<176>
= 53 · 1399 · 29387 · 3641455117109959159<19> · 32979136990341565337<20> · 263260738290756097613992099898066243997124547902781217683581287628216095992246274779625946430195170048585814097414373214543093801<129>
(62·10176-17)/9 =
6(8)1757<177>
= 33 · 2657 · 4111 · 291113 · 39235831483907384559304839151<29> · 204504055229374984998240224622242584500271210556884552743275064015708958571119473204706465331345076012727750734608363751127042965460781<135>
(62·10177-17)/9 =
6(8)1767<178>
= definitely prime number
(62·10178-17)/9 =
6(8)1777<179>
= 7 · 13 · 71 · 1092 · 1571 · 1789 · 896472265817<12> · 356182894781453121093249089521144661074284029213022827910379717519258482721700411121750491387288347403875176845420291287121094574670763945180956893793909<153>
(62·10179-17)/9 =
6(8)1787<180>
= 3 · 1008118330161754021426620851493007399<37> · 227780432871194027997107778315028020325383655035481013057408289930584300023167344606712403275876360896046576051985298405996948431336738634075771<144> (Dmitry Domanov / ECMNET, GMP-ECM B1=11000000, sigma=2217678372 for P37 / Dec 28, 2009)
(62·10180-17)/9 =
6(8)1797<181>
= 1371132237763<13> · 12177350537459<14> · 56733251812059919<17> · 494008826726635933<18> · 14721248522793047807291699577868421962397054282016912525922376032856272930045905318040188288177908075855064904449454485493<122>
(62·10181-17)/9 =
6(8)1807<182>
= 29 · 1865609 · 5341841 · 31157706751<11> · [7650223291695780278193152322250377390646361071073654611759056494892496614975738856530480550789530052725624886426238579434597195007363936016323458856383004837<157>] SUBMIT/RESERVE
(62·10182-17)/9 =
6(8)1817<183>
= 3 · 683747 · 1554445171<10> · 65693203880489854121<20> · 3288793764645864472178304802762875834346285476749353030344670505705246205562456708712096549564091186748788927053408537647179478629063837413324186077<148>
(62·10183-17)/9 =
6(8)1827<184>
= 23 · 613 · 317151841087<12> · 91664019893340461167<20> · 16807175443190793267277004173666073225036731586277146825272076797582906638858740465405278333273365181389256775064177289779521807326417930445220759997<149>
(62·10184-17)/9 =
6(8)1837<185>
= 7 · 132 · 3067 · 15629 · 635932185517<12> · [1910331172147010117590308174787336381369980078642470601288008324320386319693771782966609759689143592698406145685360231631360167772557963838439702616012264069849619<163>] SUBMIT/RESERVE
(62·10185-17)/9 =
6(8)1847<186>
= 32 · 76543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543<185>
(62·10186-17)/9 =
6(8)1857<187>
= 19 · 4211 · 4631449654866759689<19> · [18590599297642432154023653236658711797450538232971092360987767958455697735629014203623863044632667240492942815958270984316715767031129815421895178958117892207332487<164>] SUBMIT/RESERVE
(62·10187-17)/9 =
6(8)1867<188>
= 8737 · 4199023461312442826542247829276163979464993204902954305084715774949439461127<76> · 1877753340068497743101353109175100202707668122130961595002544068163993238548691937272297092383366737030916913<109> (Ignacio Santos / GGNFS, Msieve snfs / Mar 15, 2010)
(62·10188-17)/9 =
6(8)1877<189>
= 3 · 53 · 51212549 · 772376851323067<15> · [109533360994328662856487089376843981172206372314067178524460688813315014449408642750615021077357229902890611865298536955587528268970317715833115337304277608132437871<165>] SUBMIT/RESERVE
(62·10189-17)/9 =
6(8)1887<190>
= 459270661 · 37811782744756283394061781155743030332539<41> · 396691891385645513920249048828371315689124360789475037413112045909046301920404512785093914598153244725043649870516652586687353262919083371953<141> (matsui / Msieve 1.48 snfs / Jan 28, 2011)
(62·10190-17)/9 =
6(8)1897<191>
= 72 · 13 · 281 · 2342266814028359<16> · 164311160343969963621666164472416122883131871806713840771825721590359469560855954561250316447785216175144626203596046201454741166955864910970468438986703322288710504047469<171>
(62·10191-17)/9 =
6(8)1907<192>
= 3 · 47 · 138107 · 65813869754873<14> · 35326332064604752403971664605919749<35> · 15215926492899825085960563631715660620059510612170363481047000721544213080391700148509634922018028332319835302972715704136800128613242013<137> (Ignacio Santos / GMP-ECM 6.3 B1=11000000, sigma=3522142093 for P35 / Oct 22, 2010)
(62·10192-17)/9 =
6(8)1917<193>
= definitely prime number
(62·10193-17)/9 =
6(8)1927<194>
= 757 · 194967391909<12> · 8727139067981<13> · 183404516270430634046211602439489071<36> · 5825140806558561272449118283585481272249896293309789<52> · 50061397417157681273154334832997806790236562277288731370782864568067779529313241<80> (Serge Batalov / GMP-ECM B1=2000000, sigma=875743584 for P36 / Dec 29, 2009) (Warut Roonguthai / Msieve 1.48 gnfs for P52 x P80 / Sep 4, 2011)
(62·10194-17)/9 =
6(8)1937<195>
= 32 · 463 · 2741 · 5365918556294882244869328261299639165149178961331157718750614599269929155577<76> · 11240161916887838543046561252253659545873213721700399096296849696690317108125210485014599481575503385904509351573<113> (Ignacio Santos / Msieve 1.40 snfs / Aug 18, 2010)
(62·10195-17)/9 =
6(8)1947<196>
= 97 · 1117 · 112305703103916636633707161<27> · 566138202308251043181236128545594776736737201192387052158332647774217087123064904418501227006565345499002889691641586864501039192279190947536363369477134582641109883<165>
(62·10196-17)/9 =
6(8)1957<197>
= 7 · 13 · 499 · 39830843333304057365719904623687709<35> · 673637215166046862979128386840132119<36> · 56540763479293718846438334707571162382276650513596693670223344015385643390822904873892216380140438454194063251274870468533<122> (Wataru Sakai / GMP-ECM 6.2.1 B1=3000000, sigma=2995638199 for P35 / Dec 29, 2009) (Wataru Sakai / GMP-ECM 6.2.1 B1=3000000, sigma=849092864 for P36 / Jan 2, 2010)
(62·10197-17)/9 =
6(8)1967<198>
= 3 · 701 · 4583 · 3287133907<10> · 622734312671<12> · 797011027877<12> · 473968804399549<15> · 8502681095210305309<19> · 662564388389894757034374133147198862998580974438547<51> · 16407476423125426157016697280483708709178421251431710229987576774949978501<74> (Sinkiti Sibata / Msieve 1.40 gnfs for P51 x P74 / 61.60 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Jan 13, 2010)
(62·10198-17)/9 =
6(8)1977<199>
= 383 · 3691 · 10949 · 1530375563<10> · 2446304057<10> · 657655015804526100541<21> · 180769564004695517529301564923317109477382736025205915556949887329415356906070572786804248036190758188219673121842249733578925111041898573895757520841<150>
(62·10199-17)/9 =
6(8)1987<200>
= 67 · 1028192371475953565505804311774461028192371475953565505804311774461028192371475953565505804311774461028192371475953565505804311774461028192371475953565505804311774461028192371475953565505804311774461<199>
(62·10200-17)/9 =
6(8)1997<201>
= 3 · 2889947589823233952603100224985528237535554613575978956014718565252830845233<76> · 79458060221664821564753065339034919833484840738164296181318696359590975181471908982002462863775077707699252626699115246715213<125> (Dmitry Domanov / GGNFS/msieve snfs / 666.27 hours / Jan 15, 2010)
(62·10201-17)/9 =
6(8)2007<202>
= 53 · 113 · 2213773337129<13> · 1874304592671409102583<22> · 350230191829078338368531<24> · 791531063147539551834636718185142057235915919634183259452624020209555963358150020035125276376165088477530164005847742591401002054036816018599<141>
(62·10202-17)/9 =
6(8)2017<203>
= 7 · 13 · 21961 · [34471142344190019614635980010962935237786109786474068610583341242236556657575736852636811655071297164098038375166010519591868346478792269056828958472781613804335902601008925857521094532159602056237<197>] SUBMIT/RESERVE
(62·10203-17)/9 =
6(8)2027<204>
= 33 · 3557 · 7674413 · 3366851569744163<16> · 1632158040045253196900773<25> · [170086640930049035270083048918820119088297739824316418749800727379597550183963166649049565519430410569755827410391906898008791272566914166882856746458459<153>] SUBMIT/RESERVE
(62·10204-17)/9 =
6(8)2037<205>
= 19 · 52747 · 1334072675355396103066852840348166261<37> · [5152503863112578661447205153515900511500059303114393316897681605532053394244348484838329514196216154381135724259414307327495519305029297569540748210196583641716619<163>] (Serge Batalov / GMP-ECM B1=3000000, sigma=2331831570 for P37 / Dec 27, 2011) SUBMIT/RESERVE
(62·10205-17)/9 =
6(8)2047<206>
= 23 · 151 · 449 · 127037 · 7637291 · 166490553293<12> · 815794868503<12> · 3125943527831<13> · [107244935933647719632880448953396732115613408242578205821494200416657331743640556494885799972719004298452335185370067451635217106466573160108757503006157<153>] SUBMIT/RESERVE
(62·10206-17)/9 =
6(8)2057<207>
= 3 · 557 · 1787 · 1703073499<10> · 135461158841776728791900216959235935860300305816577844894148877709132368467303814617345548028067439663146744224565197285221134204079190862730721660683710469637479455790182075037994981508554969<192>
(62·10207-17)/9 =
6(8)2067<208>
= 1693 · 353119927 · [11523117647299997713485849106698264838446867775896884577452234974500463729530209210889415941592897401861896970545836111724448047093516315899560931281657422139431297371261358214166479801805846500917<197>] SUBMIT/RESERVE
(62·10208-17)/9 =
6(8)2077<209>
= 7 · 13 · 329506506894413<15> · 2297437960044098924711665952576431802276088167593249811326758487501782382637048965640775979856851113431585007427247933528602056755453580124276871781481326198964227272121193302378338750800386089<193>
(62·10209-17)/9 =
6(8)2087<210>
= 3 · 29 · 42098009 · 16373209949953<14> · 11487738476332400824497602128643973745424097632965455971714964911936575162429405317567749106172369081928980488035193054657927528474143958339215694421518013095548292461759177206348595336713<188>
(62·10210-17)/9 =
6(8)2097<211>
= 4304589323<10> · 34736544034405130690527380551497077937<38> · [46071340415952820867106745238139228601814861645820733492187544385193433669717331645860711483141075725038427762478927669919164523373023182150954526710772261846802837<164>] (Wataru Sakai / GMP-ECM 6.3 B1=3000000, sigma=4244187470 for P38 / Dec 28, 2011) SUBMIT/RESERVE
(62·10211-17)/9 =
6(8)2107<212>
= 4159 · 510677 · 274347702077<12> · 10250233830622873<17> · 1546304167603540157<19> · [7459057159701738533899018268457255212789910194183901478708571957171655956351925518883593488181850985624580581909053359581843424372842692688581728587461547397<157>] SUBMIT/RESERVE
(62·10212-17)/9 =
6(8)2117<213>
= 32 · 9199 · 11754703 · 11990947 · 208499843 · 651233809 · 18104983291<11> · 14163160947936727117<20> · 1695508290934388982296225412756673437373230398184019386787067862523776319418531328418682059898068935584506249045937189489609893156594856598089656393<148>
(62·10213-17)/9 =
6(8)2127<214>
= 71 · 624990517 · 13432927866071219066599<23> · 11557042780110596361924917124310000202322073341457751653746782031428021069346942700071044055479159227981443963706516185759477912958992422591525845976019068807934344894660712877931659<182>
(62·10214-17)/9 =
6(8)2137<215>
= 7 · 13 · 53 · 59 · 1493 · 434009 · 147637012025453<15> · [2530615222668527643528706892775358654345255607127426618695118542658319573078439745968938953774943452387640709390507784858566878655516562873509226993792556647847332442595092555384922839931<187>] SUBMIT/RESERVE
(62·10215-17)/9 =
6(8)2147<216>
= 3 · 3025204903027<13> · 94496571860142222727361<23> · [803261729992747846863432134451681700527921101062735788062627473208500482832451416368981733679339777216427189962673754839334855005373373844870093131865128530970052279140796073024207<180>] SUBMIT/RESERVE
(62·10216-17)/9 =
6(8)2157<217>
= 43093 · 56081 · 254275308440393338723818084303839061280994633<45> · [11210436210847316027176370880040905424404939194142909752368509536457535587229726647870790711485171954224396124684218690254560984874852799389466839074828022352678483<164>] (Wataru Sakai / GMP-ECM 6.3 B1=3000000, sigma=3149224243 for P45 / Dec 28, 2011) SUBMIT/RESERVE
(62·10217-17)/9 =
6(8)2167<218>
= 193 · 4363 · 907433 · 101042899933712799007089889<27> · [892249446396188493203216676971240660392970655325690473480509881385014207675229440247403867945696204491132985518858428934947934779829817074556227004237226774579785635788871836608989<180>] SUBMIT/RESERVE
(62·10218-17)/9 =
6(8)2177<219>
= 3 · 281 · 881 · 439086847 · 1690785823<10> · 240390360431569<15> · 69768280016540137433<20> · 8562954164007549603466155557078467<34> · 8699774324629397214240497119116661800554634177298706155138937099614876620285940961835910843815786832805814803720509763010474191<127> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=2939391460 for P34 / Feb 9, 2012)
(62·10219-17)/9 =
6(8)2187<220>
= [6888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<220>] SUBMIT/RESERVE
(62·10220-17)/9 =
6(8)2197<221>
= 7 · 13 · 757 · 10533872018429<14> · [94934456993319572948216134896565523854862875449558535488195904563366444861184718292671151167703718232882284660971748668450878105427574076550849986797118120684959068605001981356785325152385223647706239669<203>] SUBMIT/RESERVE
(62·10221-17)/9 =
6(8)2207<222>
= 32 · 179 · [427615697634319608248844747913649217187392233947168770260017932271191116628733016070073798192978826125939719980688323332643630595213462997448099868956479757224636181805641768397820539347541209738602662252569142699496517<219>] SUBMIT/RESERVE
(62·10222-17)/9 =
6(8)2217<223>
= 19 · 347 · 1273791396532462098023<22> · 4731216146712265939334653<25> · 173378405160294718076404630962033551948767833166360975808115465831252022785782535062629718324151728183889474106262939178157962198948206849569137727663188227737586517002873861<174>
(62·10223-17)/9 =
6(8)2227<224>
= 10239303601<11> · 139162738151839832904983<24> · [48345470872457645295997884511252795111015883960998514627754369999279426297964172530308459239632142334768060247751201797955532875498037313273510084308327439779384244111469616530922873706013489<191>] SUBMIT/RESERVE
(62·10224-17)/9 =
6(8)2237<225>
= 3 · 5107 · 268547 · 1286090927887<13> · 159270349438603777020992660810191<33> · [817400981253679110400311649228355742742929862895242057987249488392513994460779933614951480553635527531600499646650892816161498423282068246222464778195517483120940309460453<171>] (Serge Batalov / GMP-ECM B1=3000000, sigma=769504876 for P33 / Dec 27, 2011) SUBMIT/RESERVE
(62·10225-17)/9 =
6(8)2247<226>
= 401 · 19722103 · 3884991551259469092479<22> · [224213369921889428359425020706012249070761504567374481163815194629988148427849267912196468768749933356208660303933535331492993961300927678237994694019048030165940668383421509348660771005242924751<195>] SUBMIT/RESERVE
(62·10226-17)/9 =
6(8)2257<227>
= 7 · 13 · 1134389 · 78918677 · 61722816843757879246087303<26> · 136999899112926484676023931729257257333419467427515745671792039941033720503782588111226389937217527837139117684991489076437963847948877086486553475769792590405377494752486336127808227323<186>
(62·10227-17)/9 =
6(8)2267<228>
= 3 · 23 · 53 · 9403 · 41387 · 16344319 · 250384948232623<15> · 50962946002423167413052564649<29> · 2320941870454804684048036766441924560809003223175680212876757224601334221956577213911203732872693662571346540553280213332995536776511732403393905871271284900418729887<166> (Serge Batalov / GMP-ECM B1=3000000, sigma=3118410704 for P29 / Dec 26, 2011)
(62·10228-17)/9 =
6(8)2277<229>
= 498013 · 58128053 · 4955858021<10> · [48017977971471046085770764987610753177626106916387827290093537261735560522321989859329460335533842465326655832893998470244125164610393656806233620899438874470737045987387566842738985957958318882582450426923<206>] SUBMIT/RESERVE
(62·10229-17)/9 =
6(8)2287<230>
= 61 · 1093 · 10687 · 128796701339<12> · 194971636351<12> · 1031586728763846877909921<25> · [3732170282155870791563828854372534394829035052349516086832611903451827625206269005196534356488807983680799999647886649705277291179669595273009781701802947897186474914187997573<175>] SUBMIT/RESERVE
(62·10230-17)/9 =
6(8)2297<231>
= 34 · 229 · 2731 · 124387435745263<15> · [109327763472681701615678767273997395656140038108543422447060602249920908819150582861579044983059209309283905233567702831246327118789730900269935592193229445017259354926765677135545410020992103750855484711424671<210>] SUBMIT/RESERVE
(62·10231-17)/9 =
6(8)2307<232>
= 59879 · 62971 · 1826981085162072364742869972940421960784935939086334387251152530618741328779611031566756259258362751782787068362471912564096650373330216850139104281523775696774833776361173891183294686470173094108900342503822840271959983043<223>
(62·10232-17)/9 =
6(8)2317<233>
= 73 · 13 · 67 · 967 · 1525421 · 573652265768888477<18> · 118782043350174058681<21> · [2294146801627131869861570901713724185473582319964540492343558653896588349872326634075103941951764948303891687213298436574102177390320899135323292185348924564351797820546146700212481<181>] SUBMIT/RESERVE
(62·10233-17)/9 =
6(8)2327<234>
= 3 · 6026455343<10> · 5589803570637419428133<22> · [6816625515705544536846258302038162341293604796518833561455263602095701697035049750198746173842097828735799196533270863114531376221600406702101559235285787970374818164932668432884618397385121143224464791<202>] SUBMIT/RESERVE
(62·10234-17)/9 =
6(8)2337<235>
= 613 · 23557 · 57649 · 60521 · 116411 · 1144621 · 113971493 · 273113276299<12> · 50888389059536237843<20> · 1442811964531352322769<22> · [449001335718384496245372255659427660316799722739004031632732488004473861134465677314664175959026343812901814052366546721066577043758868985708283397<147>] SUBMIT/RESERVE
(62·10235-17)/9 =
6(8)2347<236>
= 7673 · 217183159187<12> · [41338797153871401507472239377669488800249455126788938082521484914617347758816157747786766935682357887561136754914438382705832620340256036176169328081478562248585222814543399592046923967480647944360260252733342392905800437<221>] SUBMIT/RESERVE
(62·10236-17)/9 =
6(8)2357<237>
= 3 · 13305167 · 17258680753847706656341076337458194221059354582293452583468484809670530977148173309634492346441771804114118194054206882907191591780067820992373085556132413041461984628199678337718694521431382982989212358599454605089107835296590387<230>
(62·10237-17)/9 =
6(8)2367<238>
= 29 · 47 · 167 · 449 · 4313743639<10> · 9638395736741<13> · [1621180705829032017271941900417697663559906581524959251213204311311964568602856845938270912202321006441227861049604273040283339090783723728330875668403977695274717711271022691566438059331558999697074219893897<208>] SUBMIT/RESERVE
(62·10238-17)/9 =
6(8)2377<239>
= 7 · 13 · 1914740987<10> · 569568012314809166287<21> · [694148138048766169945245922690300713681916107214289400729859171301115639206772333185885305190717280840552175221555202776115018064097967397275155719348336259364983949964028731553523022046472325564468303203553<207>] SUBMIT/RESERVE
(62·10239-17)/9 =
6(8)2387<240>
= 32 · 98527825272957915469<20> · 10786220158249568231743<23> · [72024208292378215733593895563308626134937600881653162138942271811932611488591911925662561278171771396106379041186807960575880813921259856305451352204672795755733800240347779193492199433141924305029<197>] SUBMIT/RESERVE
(62·10240-17)/9 =
6(8)2397<241>
= 19 · 53 · 7411 · 14262109377991621<17> · [64723073656082955683759322697248550962245666247288450762897668797421829885136582351859570555995346182083375610211863913151824413424666899820187084322766781374154225708117884805044420050369912136861843168750733112442311<218>] SUBMIT/RESERVE
(62·10241-17)/9 =
6(8)2407<242>
= 809 · 97616692062226101875827<23> · [872321490374788507026091626973258512710001364859175742999752701396687224201783032588854808423147278488983597735723429381977836390767434688107607321716892335149535429001806075142212827224883779746239468828505027697509<216>] SUBMIT/RESERVE
(62·10242-17)/9 =
6(8)2417<243>
= 3 · 619839253653908024941<21> · 14068553831783603972942049543173<32> · 7665179127103227050510165665351238934167<40> · [3435398203623806860822360200149746898356146050658189760567044046192512095787641532320601981141314352717603323012366425368934309584819264166811920561259<151>] (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=1144159700 for P40 / Dec 25, 2011) (Serge Batalov / GMP-ECM B1=3000000, sigma=3837311779 for P32 / Dec 27, 2011) SUBMIT/RESERVE
(62·10243-17)/9 =
6(8)2427<244>
= 439 · 6101 · 67103 · 188555569883<12> · 5068419506693<13> · [40107886609811609493375536861903456066358046975057692398327469512776340502666016404349689473691393386750119051816178294709625950765102139247640932805092506911471409569537345073093696513943946777935201052824069<209>] SUBMIT/RESERVE
(62·10244-17)/9 =
6(8)2437<245>
= 7 · 13 · [757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757020757<243>] SUBMIT/RESERVE
(62·10245-17)/9 =
6(8)2447<246>
= 3 · 9811 · 727481401 · [32173088612884653148548003886835101079765219481215453600049714587376813028878177853673632086086050661496781201155935108316195660818069082617185440440917247744764827237165150245954928009233149079605889631358205339463259993445912742439<233>] SUBMIT/RESERVE
(62·10246-17)/9 =
6(8)2457<247>
= 281 · 6316754537<10> · 3881046616275797789908750447057550731318984664429753386227734653577324281791544739586976231877231901964073528507674472246501172596263901210420764556015022883154816297720025782730785988705690412709866481532107516238804589664593635639671<235>
(62·10247-17)/9 =
6(8)2467<248>
= 757 · 693611899 · [131200885337908413456955789754988755216997670545955065991453666266627746168403405794228589538236729912207374186068418687419189367102048650123424756454345870378818416150751804948362551024027474192012426401455586845778853921442356495547009<237>] SUBMIT/RESERVE
(62·10248-17)/9 =
6(8)2477<249>
= 32 · 71 · 643 · 887 · 98679709 · 19155163753635173903861704418056529376676981685849791931357163517303414827575400654034478924761988925904568195371569854091263656993392919915042502135888883816673268597355574294960044341226803168008920168294574602516538207283794765657<233>
(62·10249-17)/9 =
6(8)2487<250>
= 23 · 5848958620299834851854785031<28> · [51208587315532464355506835738077324368215678675747261720842027925141686472133871496447234702615349606692426690175540911591536210224704915231191009317589382293948562431493764429347316098231058866873116246665094070366154199<221>] SUBMIT/RESERVE
(62·10250-17)/9 =
6(8)2497<251>
= 7 · 13 · 3275971 · 7186279 · 224060483693<12> · [143515363635693929653016248834685612344892688659000156092119787531081813655282337156281053851989894092708330630146853386126902186271909311465544210407075137665378656298445215624031719719728933730039174990493962239318994465861<225>] SUBMIT/RESERVE

4. References