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Factorizations of 388...881

Table of contents

  1. About 388...881
  2. Prime numbers of the form 388...881
  3. Factorizations of 388...881
  4. References

1. About 388...881

First ten terms

31, 381, 3881, 38881, 388881, 3888881, 38888881, 388888881, 3888888881, 38888888881

General term

(35·10n-71)/9

2. Prime numbers of the form 388...881

Last update

Jan 18, 2009

Searched up to

n≤10000

Difficulty of search

19.26%

Results

  1. (35·101-71)/9 = 31 is prime. (Makoto Kamada / Dec 1, 2004)
  2. (35·103-71)/9 = 3881 is prime. (Makoto Kamada / Dec 1, 2004)
  3. (35·1019-71)/9 = 3(8)181<20> is prime. (Makoto Kamada / PPSIQS / Dec 1, 2004)
  4. (35·1030-71)/9 = 3(8)291<31> is prime. (Makoto Kamada / PPSIQS / Dec 1, 2004)
  5. (35·1040-71)/9 = 3(8)391<41> is prime. (Makoto Kamada / PPSIQS / Dec 1, 2004)
  6. (35·1042-71)/9 = 3(8)411<43> is prime. (Makoto Kamada / PPSIQS / Dec 1, 2004)
  7. (35·1045-71)/9 = 3(8)441<46> is prime. (Makoto Kamada / PPSIQS / Dec 1, 2004)
  8. (35·1070-71)/9 = 3(8)691<71> is prime. (Makoto Kamada / PPSIQS / Dec 1, 2004)
  9. (35·10307-71)/9 = 3(8)3061<308> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Makoto Kamada / PPSIQS / Jan 2, 2005)
  10. (35·10538-71)/9 = 3(8)5371<539> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 29, 2006)
  11. (35·101609-71)/9 = 3(8)16081<1610> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Aug 11, 2006)
  12. (35·101668-71)/9 = 3(8)16671<1669> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Aug 18, 2006)
  13. (35·101674-71)/9 = 3(8)16731<1675> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Aug 19, 2006)
  14. (35·104492-71)/9 = 3(8)44911<4493> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
  15. (35·104935-71)/9 = 3(8)49341<4936> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
  16. (35·106112-71)/9 = 3(8)61111<6113> is PRP. (Makoto Kamada / PFGW / Dec 24, 2004)

3. Factorizations of 388...881

Last update

Nov 6, 2009

Completed up to

Range

n≤205

Terms which have not been factored yet

n=172, 173, 174, 181, 183, 184, 185, 186, 190, 194, 195, 197, 198, 201, 202, 204, 205 (17/205)

Results

(35·101-71)/9 =
31
= definitely prime number
(35·102-71)/9 =
381
= 3 · 127
(35·103-71)/9 =
3881
= definitely prime number
(35·104-71)/9 =
38881
= 59 · 659
(35·105-71)/9 =
388881
= 34 · 4801
(35·106-71)/9 =
3888881
= 67 · 58043
(35·107-71)/9 =
38888881
= 47 · 827423
(35·108-71)/9 =
388888881
= 3 · 6911 · 18757
(35·109-71)/9 =
3888888881<10>
= 151 · 1811 · 14221
(35·1010-71)/9 =
38888888881<11>
= 139 · 5711 · 48989
(35·1011-71)/9 =
388888888881<12>
= 3 · 17 · 29209 · 261059
(35·1012-71)/9 =
3888888888881<13>
= 317 · 3251 · 3773543
(35·1013-71)/9 =
38888888888881<14>
= 3089483 · 12587507
(35·1014-71)/9 =
388888888888881<15>
= 32 · 113 · 520213 · 735061
(35·1015-71)/9 =
3888888888888881<16>
= 19 · 3449 · 59344262851<11>
(35·1016-71)/9 =
38888888888888881<17>
= 23 · 31 · 54542621162537<14>
(35·1017-71)/9 =
388888888888888881<18>
= 3 · 1693 · 12263 · 6243823153<10>
(35·1018-71)/9 =
3888888888888888881<19>
= 191 · 3989 · 5104205267219<13>
(35·1019-71)/9 =
38888888888888888881<20>
= definitely prime number
(35·1020-71)/9 =
388888888888888888881<21>
= 3 · 29 · 15227 · 10621213 · 27638713
(35·1021-71)/9 =
3888888888888888888881<22>
= 491 · 94759543 · 83583602437<11>
(35·1022-71)/9 =
38888888888888888888881<23>
= 15767 · 1078622333<10> · 2286688771<10>
(35·1023-71)/9 =
388888888888888888888881<24>
= 32 · 1432865143<10> · 30156275874463<14>
(35·1024-71)/9 =
3888888888888888888888881<25>
= 61 · 193 · 185035787 · 1785182658031<13>
(35·1025-71)/9 =
38888888888888888888888881<26>
= 26693083 · 1456890119769563107<19>
(35·1026-71)/9 =
388888888888888888888888881<27>
= 3 · 569 · 227820087222547679489683<24>
(35·1027-71)/9 =
3888888888888888888888888881<28>
= 17 · 601 · 380629234500233815101193<24>
(35·1028-71)/9 =
38888888888888888888888888881<29>
= 739 · 159589 · 922601 · 12341081 · 28960831
(35·1029-71)/9 =
388888888888888888888888888881<30>
= 3 · 5639 · 34271849 · 670756129340123557<18>
(35·1030-71)/9 =
3888888888888888888888888888881<31>
= definitely prime number
(35·1031-71)/9 =
38888888888888888888888888888881<32>
= 31 · 1254480286738351254480286738351<31>
(35·1032-71)/9 =
388888888888888888888888888888881<33>
= 33 · 823 · 1009 · 11701 · 1482339870398141512529<22>
(35·1033-71)/9 =
3888888888888888888888888888888881<34>
= 19 · 617 · 4122863 · 80461452121645858964669<23>
(35·1034-71)/9 =
38888888888888888888888888888888881<35>
= 587 · 97327 · 25093110137<11> · 27126864867436837<17>
(35·1035-71)/9 =
388888888888888888888888888888888881<36>
= 3 · 730630547 · 642218291443<12> · 276263674314787<15>
(35·1036-71)/9 =
3888888888888888888888888888888888881<37>
= 993049 · 7274964583<10> · 538299495922846436543<21>
(35·1037-71)/9 =
38888888888888888888888888888888888881<38>
= 4370662339<10> · 8897710660894156273299081979<28>
(35·1038-71)/9 =
388888888888888888888888888888888888881<39>
= 3 · 23 · 83 · 230887092643<12> · 294102486789924151841221<24>
(35·1039-71)/9 =
3888888888888888888888888888888888888881<40>
= 67 · 24967 · 880151 · 139299323 · 18961739613540530273<20>
(35·1040-71)/9 =
38888888888888888888888888888888888888881<41>
= definitely prime number
(35·1041-71)/9 =
388888888888888888888888888888888888888881<42>
= 32 · 43209876543209876543209876543209876543209<41>
(35·1042-71)/9 =
3888888888888888888888888888888888888888881<43>
= definitely prime number
(35·1043-71)/9 =
38888888888888888888888888888888888888888881<44>
= 17 · 383 · 24919 · 239688517621784422652964265802455609<36>
(35·1044-71)/9 =
388888888888888888888888888888888888888888881<45>
= 3 · 127 · 1979 · 515768441190092942946726572434298837119<39>
(35·1045-71)/9 =
3888888888888888888888888888888888888888888881<46>
= definitely prime number
(35·1046-71)/9 =
38888888888888888888888888888888888888888888881<47>
= 31 · 109 · 883 · 669701 · 19462368540880321028023885972212533<35>
(35·1047-71)/9 =
388888888888888888888888888888888888888888888881<48>
= 3 · 467267579824623997<18> · 277420551364343610309887984791<30>
(35·1048-71)/9 =
3888888888888888888888888888888888888888888888881<49>
= 29 · 797 · 8009 · 132598016521<12> · 283673382933757<15> · 558515597969869<15>
(35·1049-71)/9 =
38888888888888888888888888888888888888888888888881<50>
= 1013 · 38389821213118350334539870571459910058133157837<47>
(35·1050-71)/9 =
388888888888888888888888888888888888888888888888881<51>
= 32 · 983 · 1033 · 42552902284834319484685812287306156788551431<44>
(35·1051-71)/9 =
3888888888888888888888888888888888888888888888888881<52>
= 19 · 882728973217529<15> · 231869994962384640195225351661899331<36>
(35·1052-71)/9 =
38888888888888888888888888888888888888888888888888881<53>
= 508204680550781<15> · 76522099022665377003388142505074460101<38>
(35·1053-71)/9 =
388888888888888888888888888888888888888888888888888881<54>
= 3 · 47 · 20357 · 1369140943<10> · 98956536789007010253533017127152348991<38>
(35·1054-71)/9 =
3888888888888888888888888888888888888888888888888888881<55>
= 16999535612401629689<20> · 228764419073414998320376915184731129<36>
(35·1055-71)/9 =
38888888888888888888888888888888888888888888888888888881<56>
= 1433 · 10746011 · 2525410976260672602104021303384480986989890587<46>
(35·1056-71)/9 =
388888888888888888888888888888888888888888888888888888881<57>
= 3 · 139 · 339049 · 94423432194211<14> · 29130452418097939443782499065373187<35>
(35·1057-71)/9 =
3888888888888888888888888888888888888888888888888888888881<58>
= 97 · 40091638029782359679266895761741122565864833906071019473<56>
(35·1058-71)/9 =
38888888888888888888888888888888888888888888888888888888881<59>
= 1319 · 843180143667838981<18> · 34967160641852316756479081131619632379<38>
(35·1059-71)/9 =
388888888888888888888888888888888888888888888888888888888881<60>
= 33 · 17 · 131 · 12076439673153312869740477<26> · 535553223276979284512485835557<30>
(35·1060-71)/9 =
3888888888888888888888888888888888888888888888888888888888881<61>
= 23 · 40177757832523<14> · 4208351454271460612773323918621799563640486789<46>
(35·1061-71)/9 =
38888888888888888888888888888888888888888888888888888888888881<62>
= 312 · 163 · 6576473 · 612162961 · 61667231616362386920133302431905247608739<41>
(35·1062-71)/9 =
388888888888888888888888888888888888888888888888888888888888881<63>
= 3 · 59 · 7259851 · 76109321785261943<17> · 3976369273381154638427465865253282421<37>
(35·1063-71)/9 =
3888888888888888888888888888888888888888888888888888888888888881<64>
= 15640277 · 25604899 · 9710867476836185142132357180633949111064422025647<49>
(35·1064-71)/9 =
38888888888888888888888888888888888888888888888888888888888888881<65>
= 4162681 · 4595077 · 534057342898906859<18> · 3806902203124152902683786762407407<34>
(35·1065-71)/9 =
388888888888888888888888888888888888888888888888888888888888888881<66>
= 3 · 5693 · 44501 · 24911610821<11> · 54248271435217<14> · 15537804076700891<17> · 24367780288127197<17>
(35·1066-71)/9 =
3888888888888888888888888888888888888888888888888888888888888888881<67>
= 248749 · 452587 · 34543164133819183940008986601558661347745226814452895487<56>
(35·1067-71)/9 =
38888888888888888888888888888888888888888888888888888888888888888881<68>
= 11285022042942158650676465682349<32> · 3446062288660805036011747262720213269<37>
(35·1068-71)/9 =
388888888888888888888888888888888888888888888888888888888888888888881<69>
= 32 · 8839 · 424157 · 912929 · 837953226102737274317<21> · 15065948290190028916801827683431<32>
(35·1069-71)/9 =
3888888888888888888888888888888888888888888888888888888888888888888881<70>
= 19 · 13649 · 14995850433958488915281585652655829379784479637563148597309573051<65>
(35·1070-71)/9 =
38888888888888888888888888888888888888888888888888888888888888888888881<71>
= definitely prime number
(35·1071-71)/9 =
388888888888888888888888888888888888888888888888888888888888888888888881<72>
= 3 · 229 · 421 · 1451 · 65132531 · 14227262178801483613126056747914715455167849316249855363<56>
(35·1072-71)/9 =
3888888888888888888888888888888888888888888888888888888888888888888888881<73>
= 67 · 3373 · 775259393 · 847935908207<12> · 13727971437287089799<20> · 1906856274625824807073639759<28>
(35·1073-71)/9 =
38888888888888888888888888888888888888888888888888888888888888888888888881<74>
= 149 · 727 · 75991 · 4724356869522228621834687860784678437027017101758837396609009117<64>
(35·1074-71)/9 =
388888888888888888888888888888888888888888888888888888888888888888888888881<75>
= 3 · 2014553699<10> · 10115896811<11> · 32904438078054328343<20> · 193315449126135337071256256186643101<36>
(35·1075-71)/9 =
3888888888888888888888888888888888888888888888888888888888888888888888888881<76>
= 172 · 218357 · 61625516641700497182519234815961741977775560315616104703316301642797<68>
(35·1076-71)/9 =
38888888888888888888888888888888888888888888888888888888888888888888888888881<77>
= 29 · 31 · 157 · 197 · 1567 · 1201714842791<13> · 7554617373385283<16> · 98314385654738740476653621868931683361<38>
(35·1077-71)/9 =
388888888888888888888888888888888888888888888888888888888888888888888888888881<78>
= 32 · 133793575553460673537139<24> · 250278674479708031413527571<27> · 1290398706691876737811819361<28>
(35·1078-71)/9 =
3888888888888888888888888888888888888888888888888888888888888888888888888888881<79>
= 1259 · 3209 · 4723 · 10253 · 787601 · 14082138068852770748257<23> · 1792199400922784702021198810307448397<37>
(35·1079-71)/9 =
38888888888888888888888888888888888888888888888888888888888888888888888888888881<80>
= 83 · 10477 · 481097 · 20603357 · 4511696343993022264364545508005637597380880936227005209165579<61>
(35·1080-71)/9 =
388888888888888888888888888888888888888888888888888888888888888888888888888888881<81>
= 3 · 273614231704241<15> · 20150544424673554737227565090269<32> · 23511417470573362211627340282410663<35>
(35·1081-71)/9 =
3888888888888888888888888888888888888888888888888888888888888888888888888888888881<82>
= 826487279 · 83853264303378853<17> · 56113762236381076998539150963515174750186248431254554163<56>
(35·1082-71)/9 =
38888888888888888888888888888888888888888888888888888888888888888888888888888888881<83>
= 23 · 223 · 857 · 1117 · 23698069 · 837196704712897<15> · 399225589561276605210166019103069606990306588980017<51>
(35·1083-71)/9 =
388888888888888888888888888888888888888888888888888888888888888888888888888888888881<84>
= 3 · 1741 · 17189 · 26113 · 3666485411<10> · 699376389806058761<18> · 64690007362496213281540475720093846025896801<44>
(35·1084-71)/9 =
3888888888888888888888888888888888888888888888888888888888888888888888888888888888881<85>
= 61 · 151 · 179 · 2399 · 162405576878567859379<21> · 6053890134762382480455307448382512401064003810232659669<55>
(35·1085-71)/9 =
38888888888888888888888888888888888888888888888888888888888888888888888888888888888881<86>
= 243953 · 194274833 · 4094581303816249628743<22> · 200397974819261855970732259010066033156053961635783<51>
(35·1086-71)/9 =
388888888888888888888888888888888888888888888888888888888888888888888888888888888888881<87>
= 35 · 127 · 293 · 238829 · 179050287313<12> · 1302573035500480243<19> · 772118136662864967595628414703784053902512327<45>
(35·1087-71)/9 =
3888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<88>
= 19 · 3517 · 6529 · 562883423117<12> · 2003966891413<13> · 500306337474813217318587017<27> · 15794573089360901992225802399<29>
(35·1088-71)/9 =
38888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<89>
= 124533849961<12> · 9326317845845263<16> · 92687805437055822941<20> · 361247881190711340305671025263583903795987<42>
(35·1089-71)/9 =
388888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<90>
= 3 · 127449199083478944787<21> · 1017108232627829286205933053583043103611443347429816566584757540219321<70>
(35·1090-71)/9 =
3888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<91>
= 968880091763352453521<21> · 17126967376520722374078854046467<32> · 234355436274149078043626857363843846283<39>
(35·1091-71)/9 =
38888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<92>
= 17 · 31 · 317 · 848839 · 48598322508019231619931043097048759609<38> · 5642987050511064248122832338734208549243109<43> (Makoto Kamada / GGNFS-0.70.5 / 0.21 hours)
(35·1092-71)/9 =
388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<93>
= 3 · 1931 · 6572585863<10> · 540801328872377148660664560528011063<36> · 18886348009723378417631513579397556957352593<44> (Makoto Kamada / GGNFS-0.70.5 / 0.31 hours)
(35·1093-71)/9 =
3888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<94>
= 1571 · 18529723573<11> · 3316667383327<13> · 40278982340814071676534034932022448887276845002740738803303197959441<68>
(35·1094-71)/9 =
38888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<95>
= 487 · 20728241 · 4797749171<10> · 131524734507578366509<21> · 6105048963623094046477710446444237142006279485302511137<55>
(35·1095-71)/9 =
388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<96>
= 32 · 937 · 14537 · 67055469558149597323<20> · 400360420461771985576424353<27> · 118163487256215495002479325028609695962219<42>
(35·1096-71)/9 =
3888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<97>
= 499 · 4787 · 133157 · 12226370712416785516960858667455903332127000885471646734964816823194032829480031192341<86>
(35·1097-71)/9 =
38888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<98>
= 97777 · 397730436492108459953658722285290905723113706586302391041746922986887395695193029944556377153<93>
(35·1098-71)/9 =
388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<99>
= 3 · 5492098709<10> · 50701873099<11> · 86168837323<11> · 64419356637907<14> · 1040705297922284256575557<25> · 80583766111723948522010007961<29>
(35·1099-71)/9 =
3888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<100>
= 47 · 2297 · 74149 · 9180473873139216883<19> · 52917130314563261963755134667205831598007958249948275249921845963810377<71>
(35·10100-71)/9 =
38888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<101>
= 750102449948953327<18> · 51844769859817671442991897177059926155068404376936527829965275499074194343246100703<83>
(35·10101-71)/9 =
3(8)1001<102>
= 3 · 3221 · 164258860504073536029166301<27> · 245010529939549816470498508366133113952111018440022244904845267775783387<72>
(35·10102-71)/9 =
3(8)1011<103>
= 139 · 2053 · 3421577921<10> · 189655237882485713626855383164734829<36> · 21000542262980580332387674910609858745830341198993427<53> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=3315921847 for P36 / Dec 5, 2008)
(35·10103-71)/9 =
3(8)1021<104>
= 331 · 419597 · 2662941929<10> · 42011128001<11> · 3064521820639<13> · 816726054426111631356654802987167567150341323351903412396975993<63>
(35·10104-71)/9 =
3(8)1031<105>
= 32 · 23 · 29 · 16117081 · 4997449440411209<16> · 154474530406486897<18> · 5206735428744437409352827795527941422541079464397513259388379<61>
(35·10105-71)/9 =
3(8)1041<106>
= 19 · 67 · 1562267463406113328722074385809274805765951155247<49> · 1955427611138011473211547323006830547632965613911300951<55> (Sinkiti Sibata / Msieve 1.39 for P49 x P55 / 17.67 hours / Dec 6, 2008)
(35·10106-71)/9 =
3(8)1051<107>
= 31 · 1619 · 5400961 · 12688530971<11> · 439761605502424507<18> · 25710901080547126974595664926730816661553280093529591962131284684637<68>
(35·10107-71)/9 =
3(8)1061<108>
= 3 · 17 · 787 · 1237 · 42091615931077<14> · 186086697224817473948314349031258359363365705088043609133281175224562458786057383439937<87>
(35·10108-71)/9 =
3(8)1071<109>
= 4889 · 25601015714899<14> · 211017386113145512907<21> · 147241442108969305874816272603599005868843856944640922961915805170575753<72>
(35·10109-71)/9 =
3(8)1081<110>
= 1303 · 232819 · 14197232221<11> · 806938210523<12> · 1390669431788192621326438343294680974671<40> · 8046274123325691046788733895257703717581<40> (Makoto Kamada / Msieve 1.39 for P40 x P40 / 19 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Dec 4, 2008)
(35·10110-71)/9 =
3(8)1091<111>
= 3 · 1049 · 1823 · 39268477 · 70778569804923918445397<23> · 135058969904298224155187<24> · 905947621785573187713077<24> · 199328666102165723826781571<27>
(35·10111-71)/9 =
3(8)1101<112>
= 66377 · 194071 · 35085619 · 556071751379551564589<21> · 15473454952844952263252764089740280831100292864231444766969259304676775673<74>
(35·10112-71)/9 =
3(8)1111<113>
= 1637 · 23756193579040249779406773908911966334079956560103169754971831941899137989547274825222290097061019480078734813<110>
(35·10113-71)/9 =
3(8)1121<114>
= 33 · 191 · 17713 · 4257319861523884119699296642955256094946669703571052915081239229763793104817748704224185384317064388103341<106>
(35·10114-71)/9 =
3(8)1131<115>
= 43284926261085623<17> · 2076816267013609977133570087451<31> · 43260424438253424573969100498590711648381570067561111971769414772597<68> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=4182817904 for P31 / Dec 5, 2008)
(35·10115-71)/9 =
3(8)1141<116>
= 389 · 419 · 565849 · 421658983928655491106683243881640099895809555214078432016044141455430609031858490697569346002014237346359<105>
(35·10116-71)/9 =
3(8)1151<117>
= 3 · 1260891442901599<16> · 102807922410292724940575906546545767469147841377143239419209780085500422576682485037371899144367547173<102>
(35·10117-71)/9 =
3(8)1161<118>
= 375643 · 2407192503767726283938093397877279814867330840593<49> · 4300702608253451422223050521702143454051375448060420057356800819<64> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 2.98 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Dec 5, 2008)
(35·10118-71)/9 =
3(8)1171<119>
= 435991375287210354554989<24> · 18109897094033594235014143<26> · 36932480185568590866769881910969<32> · 133359261141150887546995490911247411587<39> (Makoto Kamada / Msieve 1.39 for P32 x P39 / 2.6 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Dec 4, 2008)
(35·10119-71)/9 =
3(8)1181<120>
= 3 · 9108048653773274900975019699685290610509871744551301<52> · 14232426127404004736307046465996489398097073385511086633106988894527<68> (Serge Batalov / Msieve-1.39 snfs / 1.00 hours on Opteron-2.6GHz; Linux x86_64 / Dec 5, 2008)
(35·10120-71)/9 =
3(8)1191<121>
= 59 · 83 · 1603184392344227670937<22> · 2715369083178513050346546575239<31> · 182424466924139797820704781550258524766594314753551564628143605311<66> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=1516650998 for P31 / Dec 5, 2008)
(35·10121-71)/9 =
3(8)1201<122>
= 31 · 617 · 192629 · 3261396090889499210933<22> · 1251097845776990314935509<25> · 2586796021627522992223561376119860183771608979224617530860063685331<67>
(35·10122-71)/9 =
3(8)1211<123>
= 32 · 34110372689<11> · 1266766474150671117084195882478177415237384026320565557254556109643738772437716666755293467594333986469387078681<112>
(35·10123-71)/9 =
3(8)1221<124>
= 17 · 19 · 2659687 · 54716527 · 1006620821039<13> · 3056038652280822060544759<25> · 26893616418290044965046584836471046219644411860724833489327823151385403<71>
(35·10124-71)/9 =
3(8)1231<125>
= 126337 · 401536283195568182048119<24> · 1569021033248296412077580593368762358459<40> · 488586445919016114840133096706351415288180507783714125653<57> (Sinkiti Sibata / Msieve 1.39 for P40 x P57 / Dec 5, 2008)
(35·10125-71)/9 =
3(8)1241<126>
= 3 · 55061 · 193777002671305679513189401385663005139429<42> · 12149487304698154777013912556623553448883532470722295647430245883133644361392483<80> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 3.60 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Dec 5, 2008)
(35·10126-71)/9 =
3(8)1251<127>
= 23 · 113 · 16460906999749<14> · 90900337175660743619585081016626094421048188667072102348933679110735679768420367771512572019213728229569356731<110>
(35·10127-71)/9 =
3(8)1261<128>
= 18828110535643543455977<23> · 2065469544342659101565943435861455537052385918256384077435024834357489511377656043723846932264318333177353<106>
(35·10128-71)/9 =
3(8)1271<129>
= 3 · 127 · 2437 · 8443 · 25847 · 105127389517518820574504089<27> · 853150715418877797574753333<27> · 21399146814469280704197647581663134738091212664772217192615449<62>
(35·10129-71)/9 =
3(8)1281<130>
= 3049419765225815668983930609536436633389526100014187<52> · 1275288149318107683447556329379955502544080854576860051786719622599998534897363<79> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 3.90 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Dec 5, 2008)
(35·10130-71)/9 =
3(8)1291<131>
= 360769538878589<15> · 193761468193832625851<21> · 557547572631722371590404663<27> · 997806497421039363923620392464428562994474997976229778269519435709433<69>
(35·10131-71)/9 =
3(8)1301<132>
= 32 · 5694333167<10> · 63761343559<11> · 8702376691181<13> · 13675550385458552389022417832307918322846606108232390294793549433171014673057698391233267681054213<98>
(35·10132-71)/9 =
3(8)1311<133>
= 29 · 1603649720341<13> · 3038413503221<13> · 27521439555825144827848475074148874998715205698103661635355056918135399707328498973061864349492808286279149<107>
(35·10133-71)/9 =
3(8)1321<134>
= 626636045531<12> · 664661136625342072710172593992343671372176190170793922127<57> · 93370541208729459632002309204427506540981356824207695672872397613<65> (Sinkiti Sibata / GGNFS-0.77.1-20060513-nocona snfs / 6.39 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Dec 5, 2008)
(35·10134-71)/9 =
3(8)1331<135>
= 3 · 212281 · 552762764247593<15> · 11472041308740830128226004319952938850730656734007<50> · 96297203056272637468217470840571551206356271026255352522783960317<65> (Sinkiti Sibata / GGNFS-0.77.1-20060513-nocona snfs / 11.67 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Dec 5, 2008)
(35·10135-71)/9 =
3(8)1341<136>
= 116720748457<12> · 350544188586143<15> · 95046187150254931207263903078672210447952528088818390058696399858903507104552224882017536910461623272534667031<110>
(35·10136-71)/9 =
3(8)1351<137>
= 31 · 6599 · 4316407 · 68406551 · 102824816735798603<18> · 5174612135624606736133<22> · 1210012574342818230781579121144125577953532405756779635857803505819189051029343<79>
(35·10137-71)/9 =
3(8)1361<138>
= 3 · 11273 · 100716242412229<15> · 3388422572668937<16> · 33695173156297555341948247688226335219259650364698809857462114775690621528344563064656973066548154336463<104>
(35·10138-71)/9 =
3(8)1371<139>
= 67 · 58043117744610281923714759535655058043117744610281923714759535655058043117744610281923714759535655058043117744610281923714759535655058043<137>
(35·10139-71)/9 =
3(8)1381<140>
= 17 · 813311 · 8018110624369<13> · 6511228337017966632813877<25> · 15649167451664818524155508294784231<35> · 3442657041560301536979260219834848760144132407114779732793621<61> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=344597253 for P35 / Dec 5, 2008)
(35·10140-71)/9 =
3(8)1391<141>
= 33 · 15378689 · 972465718429859822863<21> · 963092843965200938462535571090704300116171683100297643850594759781348244951058358428068286989474575672036720429<111>
(35·10141-71)/9 =
3(8)1401<142>
= 19 · 1319010200979302625048260303049985266255243144258099089<55> · 155175723751897765150475110029731564711269841858076385450258470490538595269383272804091<87> (Serge Batalov / Msieve-1.39 snfs / 6.00 hours on Opteron-2.6GHz; Linux x86_64 / Dec 5, 2008)
(35·10142-71)/9 =
3(8)1411<143>
= 163 · 150313247296939<15> · 490610474282534410031115979<27> · 1223607960764791633345625934073632017268917<43> · 2644000686310157989135261085141315838217069079769040285031<58> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=3800258058 for P43 / Dec 5, 2008)
(35·10143-71)/9 =
3(8)1421<144>
= 3 · 24877 · 2449308294863<13> · 738760692290080903<18> · 3043277453107840967<19> · 6518639221073681222625258143211300772137541<43> · 145164541708841951682791434372335409586197147397<48> (Sinkiti Sibata / Msieve 1.39 for P43 x P48 / 1.6 hours / Dec 5, 2008)
(35·10144-71)/9 =
3(8)1431<145>
= 61 · 769207 · 7871627 · 28629087949393447456111133198620160036169315533071244148235903<62> · 367773516809964708948000502851903761346423796515465049591887880180663<69> (Sinkiti Sibata / GGNFS-0.77.1-20060513-nocona snfs / 10.01 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Dec 5, 2008)
(35·10145-71)/9 =
3(8)1441<146>
= 47 · 7963 · 5990057023<10> · 268021334935116189242269<24> · 64721807673302717585315799992934425448284026699304486454310845640546898044750101040589961000060110586872783<107>
(35·10146-71)/9 =
3(8)1451<147>
= 3 · 479 · 197677 · 2611530619<10> · 524224728202948949029139452370248430023049644946978656773245785594600810849253042291637449166856712966699619860074067962920993851<129>
(35·10147-71)/9 =
3(8)1461<148>
= 4650972442593937<16> · 836145330226893492285697453883386953042228258414575865975623629115221688833021355642010205654738272769351017232941681181134636702113<132>
(35·10148-71)/9 =
3(8)1471<149>
= 23 · 139 · 167 · 359 · 24859 · 1899647 · 11005429562821160352220822132656618449470600567<47> · 390398751300760287606065533166549932446704337286288865468217757117600799730398985751<84> (Sinkiti Sibata / GGNFS-0.77.1-20060513-nocona snfs / 31.44 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Dec 6, 2008)
(35·10149-71)/9 =
3(8)1481<150>
= 32 · 2203 · 669283 · 3873391 · 825404825109791<15> · 21904388228641440264076699571380925440070866529091293<53> · 418474754978414314848577390358111307476223571900094192394791077277<66> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 10.17 hours / Dec 8, 2008)
(35·10150-71)/9 =
3(8)1491<151>
= 24767 · 157018972378119630511926712516206601077598776149266721398994181325509302252549315172967613715382924411066697173209871558480594698142241243949161743<147>
(35·10151-71)/9 =
3(8)1501<152>
= 31 · 1210922113<10> · 4834258445689<13> · 12358500842512959654534882662579877414220284948569179<53> · 17340115058960026817035095906197024842383922831776749394279438959223915036517<77> (Sinkiti Sibata / GGNFS-0.77.1-20060513-nocona snfs / 32.66 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Dec 6, 2008)
(35·10152-71)/9 =
3(8)1511<153>
= 3 · 593 · 196877064555228798257051976037937<33> · 36533076470534038295304648507983428931265801937723<50> · 30392625276083080315139642232573944572961068830522941570127555167489<68> (Serge Batalov / Msieve-1.39 snfs / 16.00 hours on Opteron-2.6GHz; Linux x86_64 / Dec 5, 2008)
(35·10153-71)/9 =
3(8)1521<154>
= 97 · 29683 · 27062252094015893891367821833925557921914470068002173930604051639604273<71> · 49909368320669392065207112067360020697367464724002460386090056808636455973147<77> (Serge Batalov / 38881_153 / 16.00 hours on Opteron-2.6GHz; Linux x86_64 / Dec 6, 2008)
(35·10154-71)/9 =
3(8)1531<155>
= 109 · 157 · 8233 · 2070781 · 67603259 · 1971693772742679349066884309732277800133319538885764616195897776247759647827756692336906909145370437994082069175135704700405529500991<133>
(35·10155-71)/9 =
3(8)1541<156>
= 3 · 17 · 7625272331154684095860566448801742919389978213507625272331154684095860566448801742919389978213507625272331154684095860566448801742919389978213507625272331<154>
(35·10156-71)/9 =
3(8)1551<157>
= 1109 · 99667837 · 35183493136830080685297044872292506329203944472549851605688994716483945848479604052826662302488566122841822376318180586756679743326889917092814257<146>
(35·10157-71)/9 =
3(8)1561<158>
= 2389 · 333630907000621<15> · 589449675624851<15> · 17403193705595170453363<23> · 316077293436539492798483427174028217764847<42> · 15047838586998004833845001684573837704128871608268602161556759<62> (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 gnfs for P42 x P62 / 12.31 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Dec 6, 2008)
(35·10158-71)/9 =
3(8)1571<159>
= 32 · 872731 · 11263537857560226125063933208259<32> · 5021903696133745830067411705044711834566746760809363<52> · 875305020815140943837780270287316610643722751592004225362380010464867<69> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=2950211591 for P32 / Dec 2, 2008) (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 57.95 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Dec 6, 2008)
(35·10159-71)/9 =
3(8)1581<160>
= 19 · 151 · 132695051 · 1366090294564936643830244449<28> · 7477576332343959930187373580213613937069575081770635600087863418880722830509834437265157252886197426794320083607974746151<121>
(35·10160-71)/9 =
3(8)1591<161>
= 29 · 1123 · 10556051578997<14> · 469772722340261<15> · 240801108361968605800601602729993874262185183467075934086251078963511215456311490182134655598268415599943123746894697436913289279<129>
(35·10161-71)/9 =
3(8)1601<162>
= 3 · 83 · 887 · 23957 · 83449 · 4665059137<10> · 188795589702760095058767950802626370114747044815498629016735681109134933117559381207112380009348612029611461340737167230355886990752232107<138>
(35·10162-71)/9 =
3(8)1611<163>
= 461 · 1097 · 104808897667<12> · 3951556232161<13> · 102280972052471431<18> · 716259064108438833746913277<27> · 253446725428291391795785528215887294462469160418953337074175060820149366672169101099581997<90>
(35·10163-71)/9 =
3(8)1621<164>
= 2206158319<10> · 332579482327098431849172347<27> · 53002140222782602059896894545046857440419693026349716621070977665908955342627134989257845349242859968533566791979855440127668717<128>
(35·10164-71)/9 =
3(8)1631<165>
= 3 · 40639 · 6729192217450863728598048618087237613653798990636162581422405139<64> · 474021820032276344490729878036508269662859504739325818203395008676857889810899763775201694993287<96> (Serge Batalov / Msieve-1.39 snfs / 33.00 hours on Opteron-2.6GHz; Linux x86_64 / Dec 6, 2008)
(35·10165-71)/9 =
3(8)1641<166>
= 347 · 683 · 13731007978254981814404167377815346660212103899723511183019<59> · 1195013845155755906706283527067698572345276426831342688089512781690087911568759714098174429125702367099<103> (Sinkiti Sibata / GGNFS-0.77.1-20060513-nocona snfs / 84.76 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Dec 7, 2008)
(35·10166-71)/9 =
3(8)1651<167>
= 31 · 33851 · 865244687893464709<18> · 85009866320318004778187<23> · 503830046244408879583417708065016505043687765252933798206934145717135148484347612959268435736515177704366219758178900747<120>
(35·10167-71)/9 =
3(8)1661<168>
= 34 · 146222004002926974466791407216706971<36> · 81341906412392977262829851074413415931<38> · 41635795095299879483137183719197356361501<41> · 9694972354607531461319586026968019249490464567538301<52> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=4195115374 for P36 / Dec 5, 2008) (Serge Batalov / GMP-ECM 6.2.1 B1=11000000, sigma=4289341784 for P38, Msieve-1.39 for P41 x P52 / 1.22 hours on Opteron-2.6GHz; Linux x86_64 / Dec 7, 2008)
(35·10168-71)/9 =
3(8)1671<169>
= 10873724311<11> · 14303299735272000932427365334907044020341<41> · 9393326677884059649378589506343491190606750272193<49> · 2661898864995912156338864781434885655844161180750727978984078940447867<70> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=2451661041 for P41 / Dec 5, 2008) (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P49 x P70 / 33.72 hours on Core 2 Quad Q6700 / Dec 7, 2008)
(35·10169-71)/9 =
3(8)1681<170>
= 8143481792871063619<19> · 118340978066617131616605003668155243043376160853287972504030188576447929869<75> · 40353411013219617905735168316884121943560908269453282029870176563425168687271<77> (Ignacio Santos / GGNFS, Msieve snfs / 48.10 hours / Mar 26, 2009)
(35·10170-71)/9 =
3(8)1691<171>
= 3 · 23 · 127 · 317 · 1129 · 1381 · 42014258180530491785567527<26> · 2137121141584335754536230519691526144021156225042001650041290663892748321223483880463815453684059916864656504964554715282175220784557<133>
(35·10171-71)/9 =
3(8)1701<172>
= 17 · 67 · 30532695846689161<17> · 1640948300057652797<19> · 68146218437585506168688617857962273098302628315656747296850807703671730012671682080722811978988245664404336275287990165759144548339887<134>
(35·10172-71)/9 =
3(8)1711<173>
= 9697 · 8899387680978439<16> · [450638209943993072196011791855508678374129516644284752451875033840871832052172035904325426536887007804669422358729049367832879911305399942666722747916007<153>] SUBMIT/RESERVE
(35·10173-71)/9 =
3(8)1721<174>
= 3 · 29030340373<11> · 1251570369921303065533447516226851<34> · [3567770246554798335164904445667700393306498994538845244740178159103393362348826080981445946352887328882491821739754257930971069349<130>] (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=3008931572 for P34 / Dec 5, 2008) SUBMIT/RESERVE
(35·10174-71)/9 =
3(8)1731<175>
= 181 · 197 · 30871 · 1938537285983<13> · [1822451071851496902101330855107999252305999531640177971051981271035987169411279770509874437717368745531461299316213319462887207284925230653162716945586081<154>] SUBMIT/RESERVE
(35·10175-71)/9 =
3(8)1741<176>
= 4877 · 15937 · 44568647 · 11226302918034177579780512900119010265547947809508566780002037902339519461619009616137973819883364033607891868765652691470004976774758677994659442920221146288227<161>
(35·10176-71)/9 =
3(8)1751<177>
= 32 · 367 · 232568767 · 60323230600525753781<20> · 8193256915460198815721<22> · 1320105305128237839759047437665736026132731396793537417927679<61> · 775918004093695593851387986591834584873455900442876905422417139<63> (Ignacio Santos / GGNFS, Msieve gnfs for P61 x P63 / 61.25 hours / Apr 23, 2009)
(35·10177-71)/9 =
3(8)1761<178>
= 19 · 431 · 14192094360547<14> · 16344822089886294631376367252687044228611<41> · 2047236311811775237853370064349460550471296836642857788077745439397058049721082870618229704024096730530929819770762123837<121> (Serge Batalov / GMP-ECM 6.2.1 B1=11000000, sigma=3439074722 for P41 / Dec 6, 2008)
(35·10178-71)/9 =
3(8)1771<179>
= 59 · 30319 · 8784667 · 299262034171<12> · 16932239622943<14> · 2859919899229312168589<22> · 3539940740859270898078487443<28> · 852617991092640531706382587775687981367372409<45> · 56580002638170283553528616716073383101107780277<47> (Erik Branger / Msieve for P45 x P47 / 2.08 hours / Dec 5, 2008)
(35·10179-71)/9 =
3(8)1781<180>
= 3 · 26269883 · 8834314133<10> · 160020693433359773518143219603912809<36> · 3490576460850053450847907349976182625659172933180934406601688040579959555205761204584348481290922830235197726475366791229889077<127> (Serge Batalov / GMP-ECM 6.2.1 B1=11000000, sigma=1303534847 for P36 / Dec 6, 2008)
(35·10180-71)/9 =
3(8)1791<181>
= 443 · 100416941 · 76141498992898117<17> · 1148136170066765173983696663823042809004835894296050191586821450051400894793687566060309732793939234911421445645564827309940107397451732328065052552882211<154>
(35·10181-71)/9 =
3(8)1801<182>
= 31 · 302255099 · [4150402394827262300313705339181902371436050947330686013466893587394159191177960839915353590956228290919092995947395872885686141184795533439388847955717215147085867197411549<172>] SUBMIT/RESERVE
(35·10182-71)/9 =
3(8)1811<183>
= 3 · 24623387 · 5264492233730056292809337303175620381941348264949481955087235952943014282707315188996121030369608763799619834169427204698916100763458318290234793029473550069680894412682935521<175>
(35·10183-71)/9 =
3(8)1821<184>
= 6145273 · 5056296645002331360858996617<28> · [125156038616232812848272898622970965274398955852703976471201792676385573947453786719843153319166894929079984396763174400202053564741912127544678457841<150>] SUBMIT/RESERVE
(35·10184-71)/9 =
3(8)1831<185>
= 9132183701075533783534037<25> · [4258443562004648348530249995133931682909829183315047022688356502966971220951758752486718212578232937162430744843288323399436897943641884427983389062320597247213<160>] SUBMIT/RESERVE
(35·10185-71)/9 =
3(8)1841<186>
= 32 · 1248619638016512339493298010469<31> · [34606116408557117856676854971824200233196903999930939083908147142061620697693649012623519777920097834052876397493255450320932012419933381294087866642993461<155>] (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=2816063354 for P31 / Dec 2, 2008) SUBMIT/RESERVE
(35·10186-71)/9 =
3(8)1851<187>
= 1187 · 18246623 · 67890703 · 371270687321921<15> · [7123465891110846449561688831149559728835198863382168459908981720318531512733288167366095883606868842519043508885828866122025059969205467507650166554351787<154>] SUBMIT/RESERVE
(35·10187-71)/9 =
3(8)1861<188>
= 17 · 853 · 3821 · 2390894543<10> · 21365944160881<14> · 8921347665686101452517<22> · 1540059750299031091700177189001197831727536644599910687590563158382858997315675757991175094387488078174480751056811726077969165378558851<136>
(35·10188-71)/9 =
3(8)1871<189>
= 3 · 29 · 67531 · 13361312609296616677<20> · 4953976890684100761942323313894523979423828921143349457715656108853523166999909974680954360811640467084236031135033778825007307326831740290508744718838053037953249<163>
(35·10189-71)/9 =
3(8)1881<190>
= 131 · 260207 · 616657957 · 11531893397<11> · 17905448426118827495647659859<29> · 895994002891375498633567347569959074995539442743484179100848856679581645115282341184169133920282804468223980864525066718672772643026463<135> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=85049247 for P29 / Dec 5, 2008)
(35·10190-71)/9 =
3(8)1891<191>
= 677 · 2945101 · 113870249139863<15> · 2055613685925875627<19> · 14290301909505172322439931<26> · [5831006123962481870641528413037781319158607477190182729618176370039450930835171791337396581701450881700137703733753552636863<124>] RESERVED
(35·10191-71)/9 =
3(8)1901<192>
= 3 · 47 · 86202217 · 39546039053<11> · 809067946913028660172329983481601305681716716125934298739054216025420121693991432386281739065986377181909493879326517870100283747376395012781421015041061368973225556908641<171>
(35·10192-71)/9 =
3(8)1911<193>
= 23 · 101663 · 1851761 · 2003153 · 415897721 · 1078075513878270397634402073676929643283662961111471289858172860284881579765344518187101772312206646180184616653214141889372406904081661047313580159599614378722978033<166>
(35·10193-71)/9 =
3(8)1921<194>
= 233 · 439 · 93332017 · 12287897372633<14> · 1336274913064414490088424457113547<34> · 305963866293796696968288607697488003<36> · 810832058305497998180067142835268854471352451027447649649815204031597101164875882584961155023721063<99> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=1031670139 for P34, B1=3000000, sigma=4250334491 for P36 / Dec 5, 2008)
(35·10194-71)/9 =
3(8)1931<195>
= 33 · 139 · 10499 · 2695648747855838052012777127<28> · [3661303521046606546298585518347392024070683888179286291517871209385493946781642011240660743528557012706441362886380290894705288545269001778754040289321222095749<160>] (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=316825665 for P28 / Dec 5, 2008) SUBMIT/RESERVE
(35·10195-71)/9 =
3(8)1941<196>
= 19 · 7487 · 30715361 · [890037851805741225795896751581575684078887334901504925854787194209123135273769047892685212487959774382190823086877692448512019647891383818259062476349153592952577336455497564601298357<183>] SUBMIT/RESERVE
(35·10196-71)/9 =
3(8)1951<197>
= 31 · 6047 · 11527 · 17997309252220654732175052662521799650270537756064242189519927602197332232511766763813565823886514468655938167135363058362805034068363667027536010833951525351329830546960527869566870257479<188>
(35·10197-71)/9 =
3(8)1961<198>
= 3 · 41113 · 75642877643<11> · 760313831104560253254183673<27> · [54823174425482750926246594909658135020132072477274295276824574265817217975244637290064755167295711456097792543538115601269727309476437989059777953016700161<155>] (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=3978802356 for P27 / Dec 5, 2008) SUBMIT/RESERVE
(35·10198-71)/9 =
3(8)1971<199>
= 787429 · 349977491 · 1501352696818626307<19> · [9399208594091967093676579230884777090288569602008058103329256883026091849272039496728790006220074907508269094811144747640701190497788366307161875039435748284925817797<166>] SUBMIT/RESERVE
(35·10199-71)/9 =
3(8)1981<200>
= 433 · 5039 · 140389427623<12> · 8357290475369752537<19> · 1861468120897201492992872990658651081937<40> · 8160894744665296943921251395162584241097643099470088044534647763466723548653244079777378652912656058510639793059446322808049<124> (Serge Batalov / GMP-ECM 6.2.1 B1=11000000, sigma=449619090 for P40 / Dec 6, 2008)
(35·10200-71)/9 =
3(8)1991<201>
= 3 · 16553 · 7927223 · 22704073853<11> · 3979963552476295781<19> · 395164945190857945350101909540564167<36> · 27665924809055869339926234061280855054857483038403980884226624743443037940825917222475596589660592881576057076851168755649043<125> (Serge Batalov / GMP-ECM 6.2.1 B1=11000000, sigma=3549987951 for P36 / Dec 6, 2008)
(35·10201-71)/9 =
3(8)2001<202>
= 57690799 · 188013277 · 2417025011202852553830152157173<31> · [148336940573693026676931953360768681251898110248037176988146673580884095938488249642040714732420381075108148432925737985713043549619431873238226401551617439<156>] (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=2143623369 for P31 / Dec 5, 2008) SUBMIT/RESERVE
(35·10202-71)/9 =
3(8)2011<203>
= 83 · 15653159 · 1060131632496011108587<22> · 7726800068342635514651<22> · [3654146691006843819492725016420944039154062941157297109273660464507385539607774910845179696698602466217060776339443893121984589187516332513632893515829<151>] SUBMIT/RESERVE
(35·10203-71)/9 =
3(8)2021<204>
= 32 · 17 · 4729579 · 233384149 · 220242868899788953<18> · 10455345967391894552775691016747696465806449098237507843924383740021686823153591557295073301201259374739666200281744353934485366188637078077338529056318190475518942985079<170>
(35·10204-71)/9 =
3(8)2031<205>
= 61 · 67 · 3902505814693479946914232122945187201<37> · [243824497793396457157695281071537524590427598565699673829660810250881151190575939082501252646909037808114080747612376446679162713152731850998085293276833764395008663<165>] (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=3483678870 for P37 / Feb 17, 2009) SUBMIT/RESERVE
(35·10205-71)/9 =
3(8)2041<206>
= 19116998439313719202039<23> · [2034257052033580667165461469113310475215520860655891577223566256164938871651857312876200270682099864766126150180283015803677726354590444411314154959717158404041695688357134220355680279<184>] SUBMIT/RESERVE

4. References

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