Recent changes of Phin10.txt Phin10.txt の最近の更新 - Repunit レピュニット - Factorization 素因数分解 - STUDIO KAMADA

June 19, 2021 2021 年 6 月 19 日 (Makoto Kamada)

n=71546: c35250(1790757076......) = 23160454078367 * c35236(7731960134......)

n=35877: c23871(3810487254......) = 23716251837427 * c23858(1606698765......)

June 17, 2021 2021 年 6 月 17 日 (Kurt Beschorner)

n=30000: c7995(5555524691......) = 39991809070061802000001 * c7973(1389165636......)

# ECM B1=1e6, sigma=3166126587942973

n=232051: c232030(3207846988......) = 15694378910538830933 * x232011(2043946438......)

n=232189: c232182(2658540253......) = 149085212391132373 * x232165(1783235379......)

n=232457: c232443(1719575084......) = 1567248364848128089 * x232425(1097193733......)

n=232633: c232624(1167214149......) = 4904496424011583001 * x232605(2379885820......)

n=232663: c232638(2356372865......) = 4749088138061708627 * x232619(4961737488......)

n=232681: c232681(1111111111......) = 190828233459808667 * x232663(5822571906......)

n=232919: c232908(3702787805......) = 5863051280626541591 * x232889(6315462083......)

n=233113: c233106(3972003255......) = 384812996873138479 * x233089(1032190515......)

n=233141: c233106(3496567576......) = 3630426445017744079 * x233087(9631286103......)

n=233267: c233253(2933873041......) = 229132242762607319 * x233236(1280427846......)

n=233267: x233236(1280427846......) = 1115208077263318853 * x233218(1148151517......)

n=233417: c233410(3400140310......) = 12837922552213112489 * x233391(2648512869......)

n=233423: c233403(4081969604......) = 747305485147290317 * x233385(5462250292......)

n=233437: c233412(3029332732......) = 792032739766505723 * x233394(3824756958......)

n=233713: c233704(3511203127......) = 922721612868790799 * x233686(3805268109......)

n=233777: c233743(2510440635......) = 608804644035314653 * x233725(4123556974......)

n=233921: c233921(1111111111......) = 6103315421725379237 * x233902(1820504159......)

n=233993: c233978(4271381616......) = 2354872647586577507 * x233960(1813848244......)

# gr-mfaktc

# 206676 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 206676 個の Φ_n(10) の素因数が見つかりました。

# 19718 of 25997 R_prime factorizations were cracked. 25997 個中 19718 個の R_prime の素因数が見つかりました。

June 12, 2021 2021 年 6 月 12 日 (Kenji Ibusuki)

n=10180M: p1967(5896029167......) is proven prime.

# YAFU-1.34.5 APRCL

# https://stdkmd.net/nrr/cert/Phi/#CERT_PHI_10180M_10

June 12, 2021 2021 年 6 月 12 日 (Makoto Kamada)

n=72948: c24291(8039421684......) = 78316370322469 * c24278(1026531445......)

June 11, 2021 2021 年 6 月 11 日 (Kurt Beschorner)

n=10180M: c2000(3646513320......) = 618469348886528986386736868045981 * p1967(5896029167......)

# ECM B1=11e6, sigma=0:138044562091769

$ ./pfgw64 -tc -q"((10^509+1)*((10^1018+10^509)*(10^509+10^255+3)+10^255+2)-1)/1696056738373808897643396237130336206663855238720873657918162533005441"
PFGW Version 3.8.3.64BIT.20161203.Win_Dev [GWNUM 28.6]
Primality testing ((10^509+1)*((10^1018+10^509)*(10^509+10^255+3)+10^255+2)-1)/1696056738373808897643396237130336206663855238720873657918162533005441 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 7+sqrt(11)
Calling N-1 BLS with factored part 0.81% and helper 0.11% (2.57% proof)
((10^509+1)*((10^1018+10^509)*(10^509+10^255+3)+10^255+2)-1)/1696056738373808897643396237130336206663855238720873657918162533005441 is Fermat and Lucas PRP! (0.2791s+0.0007s)

# http://factordb.com/index.php?id=1100000002603771338

n=94020M: c12504(2257694498......) = 2548383691858034221 * x12485(8859319362......)

# ECM B1=25e4, sigma=0:5896773875895457563

n=94020M: x12485(8859319362......) = 851237404580697489961 * c12465(1040757762......)

# ECM B1=25e4, sigma=0:3125704586924728109

June 11, 2021 2021 年 6 月 11 日 (Makoto Kamada)

n=36619: c33268(3006992690......) = 45953046804083 * c33254(6543619845......)

n=36920: c13433(6269185296......) = 52804262982641 * c13420(1187249843......)

June 10, 2021 2021 年 6 月 10 日 (Makoto Kamada)

n=37629: c24185(8210446745......) = 20763460715707 * c24172(3954276629......)

June 9, 2021 2021 年 6 月 9 日 (Kurt Beschorner)

n=5700M: c711(1154056235......) = 214098531848960682375313931062057408227354489641401 * c660(5390304294......)

# ECM B1=43e6, sigma=0:1218120574389352

June 7, 2021 2021 年 6 月 7 日 (Kurt Beschorner)

n=64260M: c6904(1256884018......) = 602071447910713201 * c6886(2087599441......)

# ECM B1=1e6, sigma=0:12677614305988117273

n=230047: c230047(1111111111......) = 78746051978526241 * x230030(1411005483......)

n=230357: c230357(1111111111......) = 76975545777987107 * x230340(1443459867......)

n=230501: c230489(9272031181......) = 108202949009734121 * x230472(8569111347......)

n=230779: c230765(6496447601......) = 1912711472817779831 * x230747(3396459786......)

n=230833: c230817(6118740903......) = 173854061031735089 * x230800(3519469644......)

n=230833: x230800(3519469644......) = 7601940260842208693 * x230781(4629699160......)

n=230861: c230861(1111111111......) = 7570887592320937889 * x230842(1467610101......)

n=230873: c230860(2364008197......) = 990360663046504163 * x230842(2387017463......)

n=230891: c230891(1111111111......) = 17402402026623709729 * x230871(6384814633......)

n=230939: c230931(1768851192......) = 1600193497863035707 * x230913(1105398312......)

n=230959: c230959(1111111111......) = 15894295946527067431 * x230939(6990628052......)

n=230969: c230959(1779744873......) = 122066208528063403 * x230942(1458016018......)

n=231197: c231190(3432789129......) = 13619230688484914711 * x231171(2520545549......)

n=231223: c231223(1111111111......) = 4908568512167867957 * x231204(2263615366......)

n=231289: c231254(2162273794......) = 905543379182487961 * x231236(2387819120......)

n=231299: c231279(2413433796......) = 755953308156952043 * x231261(3192569925......)

n=231409: c231389(2660052419......) = 2094336088340204987 * x231371(1270117262......)

n=231431: c231418(2860129771......) = 1411453396656092837 * x231400(2026372091......)

n=231493: c231468(1290510634......) = 425846617734441289 * x231450(3030458810......)

n=231631: c231619(7435258426......) = 13760790439576993357 * x231600(5403220446......)

n=231779: c231740(7179225851......) = 363515424375507329 * x231723(1974943941......)

n=231799: c231784(1731841839......) = 6436226881590743591 * x231765(2690771893......)

n=231821: c231785(4193327923......) = 125482329778597151 * x231768(3341767666......)

# gr-mfaktc

# 206674 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 206674 個の Φ_n(10) の素因数が見つかりました。

# 19716 of 25997 R_prime factorizations were cracked. 25997 個中 19716 個の R_prime の素因数が見つかりました。

June 5, 2021 2021 年 6 月 5 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=41077: c41077(1111111111......) = 1963136230803261055657813 * c41052(5659877769......)

# ECM B1=5e4, sigma=7820758842106039

# 206668 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 206668 個の Φ_n(10) の素因数が見つかりました。

# 19710 of 25997 R_prime factorizations were cracked. 25997 個中 19710 個の R_prime の素因数が見つかりました。

June 3, 2021 2021 年 6 月 3 日 (Makoto Kamada)

n=19047: c10863(7305981011......) = 70765347060997 * c10850(1032423539......)

n=38253: c24774(2522803185......) = 75113915261947 * c24760(3358636248......)

June 2, 2021 2021 年 6 月 2 日 (Kurt Beschorner)

n=7500L: c932(1959124011......) = 48207545174782975493383750875127027725001 * c891(4063936474......)

# ECM B1=43e6, sigma=0:7630000256316624

June 2, 2021 2021 年 6 月 2 日 (Makoto Kamada)

n=77006: c38065(2114887310......) = 39267523345607 * c38051(5385843388......)

n=77224: c32929(1000000000......) = 35757247186697 * c32915(2796635867......)

# 206667 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 206667 個の Φ_n(10) の素因数が見つかりました。

May 29, 2021 2021 年 5 月 29 日 (Kurt Beschorner)

n=229037: c229029(4182094465......) = 1705505054821867489 * x229011(2452114963......)

n=229093: c229083(1763908901......) = 2127882148430908853 * x229064(8289504675......)

n=229213: c229213(1111111111......) = 1810307076949938649 * x229194(6137694125......)

n=229403: c229393(5926933292......) = 5828609083556274467 * x229375(1016869240......)

n=229409: c229382(3927042887......) = 4618383564203001041 * x229363(8503067864......)

n=229423: c229396(8313341763......) = 1091544121886699249 * x229378(7616129844......)

n=229459: c229453(1210575637......) = 10516067428353219107 * x229434(1151167625......)

n=229487: c229487(1111111111......) = 321768362056466323 * x229469(3453139718......)

n=229549: c229530(7617982392......) = 1979476283829342031 * x229512(3848483790......)

n=229627: c229606(4808353544......) = 190740618900172049 * x229589(2520885992......)

n=229631: c229624(8064462149......) = 437239814010372563 * x229607(1844402520......)

n=229763: c229763(1111111111......) = 1860799902294640787 * x229744(5971147729......)

n=229771: c229762(5984817519......) = 967687791963421729 * x229744(6184657458......)

# gr-mfaktc

# 206666 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 206666 個の Φ_n(10) の素因数が見つかりました。

# 19709 of 25997 R_prime factorizations were cracked. 25997 個中 19709 個の R_prime の素因数が見つかりました。

May 29, 2021 2021 年 5 月 29 日 (Makoto Kamada)

n=39951: c25334(1531474443......) = 52709630628079 * c25320(2905492648......)

May 28, 2021 2021 年 5 月 28 日 (Kurt Beschorner)

n=9315: c4737(3771721834......) = 1979969702769616223206181829684818071 * c4701(1904939166......)

# ECM B1=3e6, sigma=0:8529503709117214

May 27, 2021 2021 年 5 月 27 日 (Kurt Beschorner)

n=64260L: c6881(2414128431......) = 6622965059352315389973181 * c6856(3645087071......)

# ECM B1=1e6 sigma=0:17596343613092824574

n=228077: c228070(2029853419......) = 94192546200714569 * x228053(2155004298......)

n=228139: c228121(7319521236......) = 1374856240189138013 * x228103(5323844793......)

n=228203: c228195(1106581640......) = 3548885022024523031 * x228176(3118110711......)

n=228353: c228343(4104049386......) = 673783478249915641 * x228325(6091050787......)

n=228577: c228568(4611947442......) = 625813082621162693 * x228550(7369528650......)

n=228581: c228581(1111111111......) = 238830631022126917 * x228563(4652297347......)

n=228587: c228574(9758564417......) = 3296141936466731921 * x228556(2960602002......)

n=228593: c228593(1111111111......) = 4726383715694368471 * x228574(2350869455......)

n=228619: c228613(1215023572......) = 5605249366191505391 * x228594(2167653020......)

n=228737: c228728(1300908512......) = 7974300034061926277 * x228709(1631376430......)

n=228841: c228831(1360814123......) = 8817512666875110893 * x228812(1543308384......)

n=228869: c228845(3239114860......) = 541100869023505517 * x228827(5986157194......)

n=228869: x228827(5986157194......) = 984479243838930677 * x228809(6080531643......)

n=228953: c228953(1111111111......) = 5156302757530016359 * x228934(2154860106......)

# gr-mfaktc

# 206663 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 206663 個の Φ_n(10) の素因数が見つかりました。

# 19706 of 25997 R_prime factorizations were cracked. 25997 個中 19706 個の R_prime の素因数が見つかりました。

May 24, 2021 2021 年 5 月 24 日 (Makoto Kamada)

n=80650: c32214(2172776738......) = 54370454370251 * c32200(3996245321......)

n=41229: c27409(2279078246......) = 96544205890507 * c27395(2360657716......)

n=41289: c27493(1900084484......) = 52755866052763 * c27479(3601655373......)

n=83776: c30716(1193645033......) = 28730834853953 * c30702(4154578312......)

n=84584: c41473(1000099999......) = 67855847103113 * c41459(1473859722......)

n=43276: c20873(2265880631......) = 92021426787209 * c20859(2462340251......)

n=43302: c12360(9100000909......) = 26118601489597 * c12347(3484107261......)

n=43443: c28933(5094765039......) = 74906447911039 * c28919(6801503985......)

n=88622: c43620(2321349106......) = 62045498742767 * c43606(3741365858......)

# 206660 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 206660 個の Φ_n(10) の素因数が見つかりました。

May 22, 2021 2021 年 5 月 22 日 (Kurt Beschorner)

n=16667: c14263(4154180049......) = 3947239369512426079 * c14245(1052426686......)

# ECM B1=5e4, sigma=0:954925097974726

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