# Recent changes of Phin10.txt # # note # -- date (name) -- # n=... details -- Dec 21, 2008 (Kurt Beschorner) -- n=4843: c4636(1863197438......) = 330794182963235476432049 * c4612(5632497591......) n=4843: c4612(5632497591......) = 114699329928749070608906836129 * c4583(4910663030......) -- Dec 22, 2008 (Makoto Kamada) -- n=81445: x51245(5219513398......) = 420219061081 * x51234(1242093441......) n=82060M: c14873(7191818732......) = 429264804541 * c14862(1675380477......) n=83287: x80992(1443495608......) = 423617670881 * x80980(3407543422......) n=84124: c42042(1514118375......) = 426123139709 * c42030(3553241386......) n=84542: c41201(1099999999......) = 429792844219 * c41189(2559372532......) n=87314: c43207(2499644595......) = 428535802291 * c43195(5832988940......) n=87954: c28821(7842171025......) = 423120131893 * c28810(1853414771......) n=89743: x84448(9000000000......) = 428706798151 * x84437(2099336898......) n=89976: c28512(9999000100......) = 426970130929 * c28501(2341850020......) n=90207: x55297(1000000001......) = 422334380053 * x55285(2367792081......) n=90261: x60156(9999999990......) = 428237537797 * x60145(2335152598......) n=90729: x56833(1001000999......) = 425511207307 * x56821(2352466827......) n=91123: x90520(9000000000......) = 427680333121 * x90509(2104375465......) n=93315: x49761(1109988900......) = 420900106951 * x49749(2637178945......) n=93591: x62383(1334261129......) = 420984297649 * x62371(3169384551......) n=94053: x61905(1109999999......) = 423894613729 * x61893(2618575381......) n=94108: c40304(3244225527......) = 425370512701 * c40292(7626822806......) n=94846: x46364(1159762564......) = 428088843691 * x46352(2709163254......) n=97862: x48473(1099999999......) = 423700868651 * x48461(2596171217......) n=99429: x57194(1078660093......) = 429381153631 * x57182(2512127241......) -- Dec 16, 2008 (Kurt Beschorner) -- n=4805: c3707(2521295590......) = 468401184232298321 * c3689(5382769463......) -- Dec 19, 2008 (Makoto Kamada) -- n=65950: c26361(1000009999......) = 418133486051 * c26349(2391604674......) n=66879: x44563(1495235430......) = 412670181601 * x44551(3623318324......) n=67625: x54000(9999999999......) = 412237536751 * x53989(2425785890......) n=67774: c28143(4153449657......) = 412125425573 * c28132(1007812039......) n=67999: x66655(4214855343......) = 418963598681 * x66644(1006019462......) n=68646: c21476(7644060624......) = 418005744571 * c21465(1828697505......) n=72532: c36264(9900990099......) = 419308144789 * c36253(2361268251......) n=74836: c36603(1349616027......) = 413216702681 * c36591(3266121671......) n=75363: x50219(4377010412......) = 419083544359 * x50208(1044424308......) n=75641: x75633(2006730908......) = 410464373681 * x75621(4888928338......) n=75655: x60495(4978756044......) = 417535708321 * x60484(1192414431......) n=77474: c38736(9090909090......) = 411100518623 * c38725(2211359188......) n=77907: x51936(9009009009......) = 410352217843 * x51925(2195433244......) n=78868: c39432(9900990099......) = 412551488749 * c39421(2399940460......) n=79239: x51815(3166233255......) = 419970978907 * x51803(7539171547......) -- Dec 17, 2008 (Torbjorn Granlund) -- n=605: c431(1034451904......) = 21625031530930076049789324174801789788831 * c390(4783585646......) -- Dec 17, 2008 (Makoto Kamada) -- n=80549: x66961(1111110999......) = 415509761129 * x66949(2674091210......) n=81915: c42326(2525328049......) = 413284930351 * c42314(6110380186......) n=82546: c40849(1099999999......) = 414665951339 * c40837(2652737695......) n=84305: x62199(8431119951......) = 419196158681 * x62188(2011258876......) n=84483: x47946(1793439204......) = 415163317213 * x47934(4319840242......) -- Dec 15, 2008 (Kurt Beschorner) -- n=4799: c4775(1906136234......) = 20896213275650139036413 * c4752(9121921802......) n=4801: c4784(3101537317......) = 7274411822150087471 * c4765(4263626246......) n=5305: c4218(1456543988......) = 536667213009607900413511 * c4194(2714054358......) n=5345: c4272(9000090000......) = 340465095227519198681 * c4252(2643469221......) n=5735: c4259(3222029131......) = 126958288731846199534241 * c4236(2537864336......) n=5885: c4207(1204921141......) = 957410688392126606878241 * c4183(1258520670......) n=5995: c4266(6691643706......) = 97388758810118016671 * c4246(6871063753......) n=6663: c4440(9009009009......) = 37727313291438209949882529 * c4415(2387927531......) n=6969: c4384(2842071760......) = 481449016026475276500037 * c4360(5903162464......) n=11105: c8870(5562788963......) = 81087257732521 * x8856(6860250449......) n=11105: x8856(6860250449......) = 432197330465938201 * c8839(1587295886......) n=11107: c10688(1635053491......) = 9609949211080679 * c10672(1701417412......) n=11111: c10800(9000000000......) = 101337001530584227 * c10783(8881257451......) n=11117: c11103(2012639784......) = 1211059659454344773 * c11085(1661883267......) n=11119: c11100(2441050863......) = 2415475966825591 * c11085(1010587932......) n=11129: c10740(9000000000......) = 257289987831049 * c10726(3497998533......) n=11131: c11131(1111111111......) = 258677948499754591 * c11113(4295345303......) n=11135: c8292(1458439879......) = 688872099853406831 * c8274(2117141744......) n=11141: c10268(4038953462......) = 44772687886603 * x10254(9021020744......) n=11141: x10254(9021020744......) = 3123957049635274711 * c10236(2887690388......) n=11149: c11149(1111111111......) = 158167542584864538689 * c11128(7024899628......) n=11157: c7436(9009009009......) = 13934969982919 * c7423(6465036537......) n=11159: c11159(1111111111......) = 72348676161161 * c11145(1535772553......) n=11167: c10292(1343223437......) = 357971655023989267 * c10274(3752317869......) n=11177: c11177(1111111111......) = 35592180682685088667 * c11157(3121784307......) n=11185: c8925(8499254898......) = 340598681452361 * c8911(2495386905......) n=11191: c10245(4929903418......) = 2776981711447133 * x10230(1775273995......) n=11191: x10230(1775273995......) = 512684900807737573 * c10212(3462699979......) n=11199: c7464(9009009009......) = 3862513754707 * c7452(2332421210......) -- (Dario Alejandro Alpern) -- n=50702: c24983(1756755043......) = 5231197153423 * c24970(3358227555......) n=66666: c21600(9100000000......) = 21133205065837 * c21587(4306019825......) n=77902: c35395(3530064921......) = 54739703326331 * c35381(6448819972......) # from googolplex+10, http://www.alpertron.com.ar/googol.pl n=32000: c12800(9999999999......) = 54789630784001 * c12787(1825162874......) # from googolplex-1, http://www.alpertron.com.ar/googolm1.pl n=31869: c21223(2305916927......) = 58377106066933 * c21209(3950036380......) n=45459: c30300(9990000009......) = 52841127104839 * c30287(1890572846......) n=81819: x54540(9990000009......) = 973661481973 * x54529(1026023951......) # from googolplex-10, http://www.alpertron.com.ar/googolm.pl n=32002: c16000(9090909090......) = 4729877774887 * c15988(1922017761......) n=36646: c18001(1099999999......) = 4882959924103 * c17988(2252731984......) n=98646: c31966(1145693494......) = 6930191248441 * c31953(1653191742......) # from googolplexplex+10, http://www.alpertron.com.ar/glpx10.pl n=13233: c8001(1109999999......) = 3903864736333 * c7988(2843336219......) n=26281: c25600(9000000000......) = 6402605813729 * c25588(1405677666......) n=30791: c30000(9000000000......) = 4082742867613 * c29988(2204400397......) n=32923: c28801(1111111111......) = 6380018650919 * c28788(1741548374......) n=54969: c35991(1660024316......) = 6626938849813 * c35978(2504963987......) n=65641: c64000(9000000000......) = 590159982803 * c63989(1525010211......) n=76001: x75979(2190472235......) = 7734643962293 * x75966(2832027235......) n=76857: c43514(3907258545......) = 3982384498357 * c43501(9811354346......) # from googolplexplex-10, http://www.alpertron.com.ar/glpxm10.pl -- Dec 14, 2008 (Torbjorn Granlund) -- n=1264: c604(7799522942......) = 3041610227520272973007139521013344769 * c568(2564274301......) -- Dec 14, 2008 (Yousuke Koide) -- n=1374: c450(1475613195......) = 14333485763997084637130491135368291169 * c413(1029486629......) -- Dec 12, 2008 (Yousuke Koide) -- n=1054: c481(1099999999......) = 25110172975670328882505490925107068552949771 * c437(4380694633......) n=4605: c2444(4017186855......) = 385684686365134764006171001 * c2418(1041572817......) n=5115: c2370(5316627173......) = 40018164181482636392674017511 * c2342(1328553491......) -- Dec 11, 2008 (Kurt Beschorner) -- n=4795: c3265(1111099888......) = 1878769491472288932791 * c3243(5913976642......) -- Dec 7, 2008 (NFSNET) -- n=287: c212(2012604495......) = 386736023165016911595773048286586040278275120007787504683197800313250373 * p140(5204078169......) -- Dec 6, 2008 (Yousuke Koide) -- n=3561: c2318(1466737186......) = 6468524545001775635412558513283 * c2287(2267498834......) n=3747: c2465(1859005353......) = 4425995567623759307718601 * c2440(4200197051......) -- Dec 5, 2008 (Torbjorn Granlund) -- n=1874: c876(2903142646......) = 3932006991487594546695469546108593141197 * c836(7383360844......) -- Dec 3, 2008 (Kurt Beschorner) -- n=4739: c4026(2906158876......) = 156999843454845125198311 * c4003(1851058454......) -- Dec 4, 2008 (Raman) -- n=375: c176(2187756376......) = 1375436107164906400113195032668541009729549504205143102033627145732751 * p107(1590591060......) -- Dec 3, 2008 (Torbjorn Granlund) -- n=1124: c560(9900990099......) = 170628118252204587852516135010731906709 * c522(5802672033......) n=1684: c800(1694677132......) = 22476551674392267849702277941854849826781 * c759(7539755905......) -- Dec 1, 2008 (Alfred Reich) -- n=47220L: c6275(3072765602......) = 14100224712121 * x6262(2179231654......) n=47220L: x6262(2179231654......) = 241807103667290657341 * p6241(9012273093......) #Primality testing 9012273093...... [N-1/N+1, Brillhart-Lehmer-Selfridge] #Running N-1 test using base 17 #Running N+1 test using discriminant 29, base 10+sqrt(29) #Calling N-1 BLS with factored part 0.22% and helper 0.12% (0.79% proof) #9012273093...... is Fermat and Lucas PRP! (24.9566s+0.0228s) n=66009: x44004(9009009009......) is composite n=99122: x47825(1099999999......) is composite n=99152: x49552(5255380888......) is composite n=99325: x76153(7090182174......) is composite n=99392: x49654(2457216665......) is composite n=99435: x45408(9009100000......) is composite n=99496: x49733(3258210437......) is composite n=99665: x77029(5078658890......) is composite n=99704: x44881(1000000000......) is composite n=99728: x47515(1671209588......) is composite n=99818: x48137(8229543242......) is composite n=99048: c32997(2780361485......) = 783853986241 * c32985(3547040053......) n=99666: c28203(5916092115......) = 1270649807281 * c28191(4655957983......) n=99720: c26470(3271979499......) = 6726568922641 * c26457(4864262207......) n=99828: c32000(5435549888......) = 2997672120361 * c31988(1813256977......) n=99846: c32498(3843556320......) = 1219885079437 * c32486(3150752792......) n=99170: c38640(9091000000......) = 39203105320481 * c38627(2318948952......) n=99682: c43120(9090909091......) = 869325226771 * c43109(1045743159......) -- Nov 30, 2008 (Kurt Beschorner) -- n=5201: c4419(5578674800......) = 55089648550114805352943351 * c4394(1012653909......) n=5615: c4469(4171674466......) = 15864249179620029844111 * c4447(2629607250......) n=5645: c4498(4731894108......) = 4208336093111604281 * c4480(1124409743......) n=7137: c4321(1001000999......) = 1336998501562232260148437 * c4296(7486926865......) n=8115: c4316(6838696937......) = 46353260819106268043600641 * c4291(1475343226......) n=8547: c4316(1756724433......) = 76887959784937172205643 * c4293(2284784819......) n=9075: c4379(7855068107......) = 1748168644675290050401 * c4358(4493312548......) -- Nov 30, 2008 (Yousuke Koide) -- n=2461: c2296(3270448889......) = 5817983911794217594551844849 * c2268(5621275237......) n=3605: c2443(8110750990......) = 2494701692185326338954942221751 * c2413(3251190719......) -- Nov 26, 2008 (Kurt Beschorner) -- n=4697: c3601(1111110999......) = 32520794790641228634054031 * c3575(3416616989......) n=4711: c4032(9000000900......) = 540363415808464863503130467 * c4006(1665545933......) -- Nov 26, 2008 (Yousuke Koide) -- n=5115: c2392(7472675784......) = 14055293969111083264951 * c2370(5316627173......) -- Nov 24, 2008 (Kurt Beschorner) -- n=4599: c2546(6328855795......) = 839883647003733732955106161 * c2519(7535395906......) n=4693: c4076(2927559180......) = 195478954869727258881919 * c4053(1497633943......) -- Nov 23, 2008 (Torbjorn Granlund) -- n=785: c606(1062053522......) = 16663607714329041828185817458928401 * c571(6373490906......) n=1832: c892(1931309691......) = 51626338988814569262789149429131191054412260377 * c845(3740938693......) n=1354: c654(4342826963......) = 1373109878288117159960471296998025386367 * c615(3162767257......) n=1746: c499(1295162569......) = 116089721943926115626614365020206939 * c464(1115656535......) -- Nov 23, 2008 (Yousuke Koide) -- n=783: c481(6297754427......) = 87775758732852368588328089882054383747 * p443(7174821976......) n=4347: c2348(1118268759......) = 72298287811217538481899039679 * c2319(1546743074......) n=4575: c2396(2185766431......) = 55775372718378976552445769751 * c2367(3918873734......) -- Nov 20, 2008 (Kurt Beschorner) -- n=4653: c2761(1001000999......) = 2077345816528562943067 * c2739(4818653649......) n=4659: c3075(3544640224......) = 1846352526482056693 * c3057(1919806848......) n=11011: c7912(9333840882......) = 266096543200489 * c7898(3507689641......) n=11013: c7326(2779429186......) = 28328662060117 * x7312(9811367654......) n=11013: x7312(9811367654......) = 427119021934935037 * c7295(2297103886......) n=11015: c8786(6856952924......) = 1164184109766871 * c8771(5889921419......) n=11019: c7332(5582393647......) = 1632035691398227 * c7317(3420509537......) n=11023: c10795(5102937591......) = 175281514323319 * x10781(2911281095......) n=11023: x10781(2911281095......) = 1668884140334599 * c10766(1744447697......) n=11033: c9276(5035170667......) = 13826670238739557 * c9260(3641636475......) n=11039: c8832(3940697629......) = 1033261427563597 * c8817(3813843742......) n=11041: c10778(1116847380......) = 40943612460605837 * c10761(2727769519......) n=11059: c11059(1111111111......) = 4744582590814769 * c11043(2341852185......) n=11061: c7360(8292079554......) = 72095728360211893 * c7344(1150148523......) n=11063: c9496(4710829391......) = 886647150818053 * c9481(5313082421......) n=11065: c8841(1198973513......) = 3528223830742316950351 * c8819(3398235403......) n=11067: c5754(1615163681......) = 1906041761822052373 * c5735(8473915490......) n=11069: c11069(1111111111......) = 1164990118464650209 * c11050(9537515327......) n=11073: c7366(2764643627......) = 105455260582129 * c7352(2621627041......) n=11075: c8813(5944748600......) = 184237052567686351 * c8796(3226684598......) n=11077: c9354(5635274972......) = 88426322593032870601 * c9334(6372847821......) n=11081: c9474(8898281660......) = 44504430337175929 * c9458(1999414798......) n=11091: c7377(9580716347......) = 179274122431249 * c7363(5344171382......) n=11095: c7585(1111099888......) = 1893906116310058271 * c7566(5866710494......) n=11099: c10048(6198254970......) = 4870289747027 * x10036(1272666574......) n=11099: x10036(1272666574......) = 63369941968160081 * c10019(2008312672......) -- Nov 19, 2008 (Yousuke Koide) -- n=912: c261(1271438002......) = 281464188569516450327957421884016074607805300753 * p213(4517228317......) n=3933: c2326(2521672345......) = 188964344309447992433400919 * c2300(1334469926......) -- Nov 15, 2008 (Kurt Beschorner) -- n=4611: c2862(1243685551......) = 1238862954807046559239 * c2841(1003892760......) n=4617: c2897(8905982523......) = 1384761731828811064363 * c2876(6431418719......) n=5795: c4321(1111099999......) = 14966976416219585242231 * c4298(7423677094......) n=5795: c4298(7423677094......) = 460493882020632233004241 * c4275(1612111992......) n=6335: c4321(1111099888......) = 1966452643382069914961 * c4299(5650275345......) n=6335: c4299(5650275345......) = 13583236788986332498871 * c4277(4159741476......) n=6471: c4308(9990000009......) = 178391190709559934034790923 * c4282(5600052317......) n=6483: c4305(3056032538......) = 102271239639765519922759 * c4282(2988164169......) n=6543: c4347(6371051779......) = 45574356362201492401 * p4328(1397946627......) n=6609: c4392(1298331114......) = 1441662211234052189791 * c4370(9005792790......) n=7707: c4386(9232357578......) = 8741489361636322326799 * c4365(1056153842......) -- Nov 12, 2008 (Matthew Peets) -- #***** CORRECTION ***** n=32481: c21600(9999999999......) is (probable) prime #Primality testing 9999999999...... [N-1/N+1, Brillhart-Lehmer-Selfridge] #Running N-1 test using base 43 #Running N-1 test using base 59 #Running N+1 test using discriminant 67, base 14+sqrt(67) #Calling N-1 BLS with factored part 1.37% and helper 0.06% (4.17% proof) #9999999999...... is Fermat and Lucas PRP! (368.6661s+0.1401s) -- Nov 12, 2008 (Yousuke Koide) -- n=2447: c2405(3597673558......) = 1039143223290181087816293053 * c2378(3462153702......) n=3561: c2344(1654319376......) = 112789079849279160182415667 * c2318(1466737186......) -- Nov 10, 2008 (Kurt Beschorner) -- n=4579: c4283(3659515774......) = 32425003130533716962081 * c4261(1128609227......) n=4579: c4261(1128609227......) = 107439552822192838490239 * c4238(1050459721......) n=4579: c4238(1050459721......) = 138991859499995922984253 * c4214(7557706801......) -- Nov 9, 2008 (Torbjorn Granlund) -- n=1432: c619(7835079982......) = 328455338742918658426662807087083993 * p584(2385432373......) -- Nov 8, 2008 (Kurt Beschorner) -- n=4537: c4172(1102036318......) = 304651381057951306175551 * c4148(3617368529......) n=4551: c2867(8108375703......) = 16423486902182356157512963 * c2842(4937061022......) n=4565: c3266(2331751025......) = 1245377919812466190678511 * c3242(1872324045......) n=4569: c3035(4263909551......) = 16811192009562457306250083 * c3010(2536351704......) -- Nov 8, 2008 (Yousuke Koide) -- n=3059: c2369(4183677238......) = 38823407074356243222109493 * c2344(1077617229......) n=3157: c2383(9565139779......) = 59664606152342434512382360787 * c2355(1603151415......) n=3501: c2316(6990402213......) = 1875527998236278868291073399 * c2289(3727164947......) n=3513: c2313(2356366490......) = 106551591537736686403939816957 * c2284(2211479393......) -- Nov 6, 2008 (Alfred Reich) -- n=12855: c6822(1047928802......) = 574238315457511 * c6807(1824902264......) n=29060L: c5809(2824060999......) = 1407293707505141 * c5794(2006731775......) n=29100M: c3827(8976395262......) = 7164227881801 * c3815(1252946641......) n=29140M: c5506(4357610254......) = 10331706174047730541 * c5487(4217706331......) n=29420L: c5881(2824060999......) = 56358069691941911745161 * c5858(5010925702......) n=29660M: c5915(4015198676......) = 63119564106121 * c5901(6361258562......) n=29740M: c5940(9495514608......) = 7597169152506178801601 * c5919(1249875370......) n=29780L: c5940(1357338145......) = 194947091405882623121 * c5919(6962597571......) n=29980M: c5982(3068432105......) = 285589706054203062401 * c5962(1074419715......) n=34060M: c6236(1039606453......) = 6476533829741 * c6223(1605189567......) n=34220L: c6486(1846783551......) = 8661802570541 * c6473(2132100722......) n=34220M: c6497(2796100000......) = 87945112380901 * c6483(3179369409......) n=34300M: c5861(7205723231......) = 1038730078499401 * c5846(6937050713......) n=34420L: c6867(7639610378......) = 983155748209399361 * c6849(7770498613......) n=34660L: c6921(4021666630......) = 18255146071741 * c6908(2203031745......) n=34820L: c6951(9411836570......) = 12656774975084441 * c6935(7436204395......) n=34940L: c6985(2824060999......) = 347049844686121 * x6970(8137335437......) n=34940L: x6970(8137335437......) = 798676887259201 * c6956(1018851999......) n=35020L: c6528(3540999964......) = 143335199701801 * c6514(2470432923......) n=35140M: c6001(2798897498......) = 4343616043201 * c5988(6443703749......) n=35260L: c6708(5594344592......) = 33481935516859541 * c6692(1670854598......) n=35500L: c7001(1000000000......) = 288108280029001 * c6986(3470917253......) n=35500M: c6983(2459436932......) = 1960008118969501 * c6968(1254809563......) n=35620L: c6513(4859196016......) = 4920688781321 * c6500(9875032200......) n=35860L: c6475(7797323379......) = 930176875366421 * c6460(8382624408......) n=39020M: c7791(3146764769......) = 7124046727741 * c7778(4417102932......) n=39100M: c7032(8192986280......) = 9128017539401 * c7019(8975646951......) n=39220L: c7488(3541000000......) = 50097071248201 * c7474(7068277469......) n=39260L: c7200(3541003541......) = 404646046511461 * c7185(8750866520......) n=39580L: c7897(3910736895......) = 33377045316821 * c7884(1171684568......) n=39660L: c5272(8502004572......) = 186985551291001 * x5258(4546877827......) n=39660L: x5258(4546877827......) = 654647800113301 * c5243(6945532890......) n=39820M: c7196(1170314857......) = 3331011291301 * c7183(3513392046......) n=39860L: c7960(8149344499......) = 2500754408930801 * c7945(3258754426......) n=54020L: c10357(9039273003......) = 49333385509501 * c10344(1832283130......) n=54180L: c6038(9201279034......) = 131547973358341 * c6024(6994618616......) n=54220M: c10840(3576409999......) = 1437201788597215241 * c10822(2488453624......) n=54300L: c7189(2197755558......) = 9885600998101 * c7176(2223188614......) n=54300M: c7185(3495251169......) = 694658397795093888601 * c7164(5031611480......) n=54380L: c10863(6919650719......) = 79230730325393041 * c10846(8733544031......) n=54380M: c10858(2061195587......) = 3607509871421 * x10845(5713624247......) n=54380M: x10845(5713624247......) = 3456901975755824821 * x10827(1652816391......) n=54380M: x10827(1652816391......) = 8161574510331613661 * c10808(2025119526......) n=54420M: c7239(2655165474......) = 5114633986681 * c7226(5191310817......) n=54580M: c10896(1981585900......) = 3563739424601 * x10883(5560411870......) n=54580M: x10883(5560411870......) = 5665412514481 * c10870(9814663727......) n=54620L: c10920(3576409999......) = 10803709117741 * c10907(3310353842......) n=54620M: c10914(2238259121......) = 888374752812881 * c10899(2519498798......) n=54700L: c10901(1388709747......) = 13107830469001 * c10888(1059450494......) n=54700M: c10920(9900498007......) = 1676582386594301 * c10905(5905166418......) n=54740M: c8439(1501061295......) = 34213325636194321 * c8422(4387358632......) n=54780L: c6554(3797612244......) = 8814644954928121 * x6538(4308298591......) n=54780L: x6538(4308298591......) = 9714328869575881 * c6522(4434993553......) n=54780M: c6561(2555255162......) = 10037936899256616901 * c6542(2545597953......) n=54820L: c10960(3576409999......) = 934109629449660721 * c10942(3828683365......) n=54820M: c10961(2824060999......) = 6862926325441 * x10948(4114951648......) n=54820M: x10948(4114951648......) = 6965094876008861 * c10932(5907962090......) n=54860M: c10067(2032039893......) = 10029237114979681 * c10051(2026116114......) n=54940M: c10561(2796099999......) = 12253177384181 * x10548(2281938726......) n=54940M: x10548(2281938726......) = 577610990260700621 * c10530(3950649771......) n=92020L: c17793(1732015500......) = 520721303681 * x17781(3326185212......) n=92020L: x17781(3326185212......) = 88342619788065935681 * c17761(3765096870......) n=92220L: c11643(4286088960......) = 876403179121 * c11631(4890544742......) n=92260L: c15764(4783150847......) = 191137843863683641 * c15747(2502461443......) n=93060M: c11034(3739927181......) = 678909458701 * c11022(5508727464......) n=93700L: c18713(5870092150......) = 858441545201 * c18701(6838080220......) n=94060L: c18802(9505636014......) = 355076765531381 * c18788(2677065056......) n=94100L: c18800(9900498007......) = 1841349082301 * p18788(5376763212......) #Primality testing 5376763212...... [N-1/N+1, Brillhart-Lehmer-Selfridge] #Running N-1 test using base 19 #Running N+1 test using discriminant 37, base 2+sqrt(37) #Running N+1 test using discriminant 37, base 4+sqrt(37) #Calling N-1 BLS with factored part 0.03% and helper 0.02% (0.12% proof) #5376763212...... is Fermat and Lucas PRP! (409.6657s+0.0417s) n=94100M: c18801(1010050200......) = 66753134804701 * c18787(1513112760......) n=94660L: c18929(2824060999......) = 2151162611534161 * c18914(1312806844......) n=95060M: c16119(6534406896......) = 350423386887101501 * c16102(1864717693......) n=95180M: c19032(3576409999......) = 226577610915401 * c19018(1578448102......) n=95260L: c17265(7251449177......) = 675935524661 * c17254(1072801903......) n=95300L: c19034(8657300936......) = 2441497085101 * c19022(3545898534......) n=95300M: c19041(1010050200......) = 204457239450001 * c19026(4940153762......) n=95340M: c10842(9936310296......) = 58657055869861 * c10829(1693966761......) n=95500L: c18990(2853243573......) = 151815209539001 * x18976(1879418789......) n=95500L: x18976(1879418789......) = 529672375322501 * c18961(3548266583......) n=95620M: c16368(3537460769......) = 92485378370981 * c16354(3824886519......) n=95740M: c19144(3576409999......) = 79236286451761501 * x19127(4513601229......) n=95740M: x19127(4513601229......) = 1018123474388323561 * c19109(4433255241......) n=95860L: c19152(2475069005......) = 1944504454305961 * c19137(1272853348......) n=95860M: c19169(2824060999......) = 978373042201 * c19157(2886486930......) n=95900L: c16314(6882510340......) = 3666735349201 * c16302(1877013115......) n=95900M: c16314(1423287290......) = 52581668671708923601 * c16294(2706812709......) n=95980L: c19187(1961560768......) = 4710363600068521 * c19171(4164351066......) n=95980M: c19192(3576409999......) = 679524267075789066601 * c19171(5263108578......) n=96020M: c19192(2804707142......) = 73342561198953941 * c19175(3824119442......) n=96060L: c12761(5336712024......) = 36413873341249561 * c12745(1465571095......) n=96220M: c18028(1410790875......) = 9760182889081 * c18015(1445455368......) n=96860L: c18592(3540999999......) = 13351264519070321 * c18576(2652183240......) n=97020L: c10067(5922282754......) = 2563073912368444861 * c10049(2310617234......) n=97060L: c18480(3540999999......) = 4294843605376421 * c18464(8244770532......) n=97180M: c18816(3541000000......) = 63402275501041 * c18802(5584973050......) n=97540M: c19472(1881512189......) = 5818664464924144205401 * c19450(3233580834......) n=97780L: c19553(2824060999......) = 2328728382221 * c19541(1212705191......) n=97780M: c19544(7171782047......) = 2332734991739461 * c19529(3074409254......) n=97820M: c18996(2517916323......) = 1357419781215664914301 * c18975(1854928267......) n=99130: c37835(9170693324......) = 8905670679001 * c37823(1029758864......) n=99474: c32465(1097489781......) = 803345856613 * c32453(1366148555......) n=99538: x49297(1099999999......) = 6489190986877 * x49284(1695126560......) n=99720: c26482(6361483543......) = 1944230868001 * c26470(3271979499......) n=99924: c30240(9901000000......) = 432817808281 * c30229(2287567611......) -- Nov 6, 2008 (Yousuke Koide) -- n=2995: c2387(7154796448......) = 9696734379688499685077807281 * c2359(7378562894......) n=3395: c2265(4799993440......) = 1496220835847158602460486131234120721 * c2229(3208078196......) -- Nov 6, 2008 (Silverman) -- n=494: c201(3444741866......) = 438725907577156177685201819419114255533305134233669402807964649891016719989703392491612289098617653 * p102(7851694660......) -- Nov 6, 2008 (Kurt Beschorner) -- n=4509: c2976(1387311634......) = 319243959239691552628608001 * c2949(4345615927......) n=4525: c3584(1900351231......) = 672155393578343105132201 * c3560(2827249844......) n=11025: c5041(1000000000......) = 35990831571948080125201 * p5018(2778485398......) #Primality testing 2778485398...... [N-1/N+1, Brillhart-Lehmer-Selfridge] #Running N-1 test using base 11 #Running N-1 test using base 13 #Running N-1 test using base 17 #Running N+1 test using discriminant 31, base 3+sqrt(31) #Calling N-1 BLS with factored part 0.16% and helper 0.01% (0.48% proof) #2778485398...... is Fermat and Lucas PRP! (19.4959s+0.0936s) -- Nov 5, 2008 (Yousuke Koide) -- n=2935: c2344(9000090000......) = 1142134362243603835908631391 * c2317(7880062362......) n=2965: c2351(2683272777......) = 6146001793715517282563681 * c2326(4365883492......) -- Nov 5, 2008 (Makoto Kamada) -- n=86221: x85477(6855658305......) = 417171686401 * x85466(1643366155......) n=88734: c28240(2442918045......) = 416121021223 * c28228(5870691267......) n=89260L: c17848(3576409999......) = 419472907001 * c17836(8525961843......) n=92473: x84229(5413951957......) = 411060054871 * x84218(1317070801......) n=93649: x92260(9000000000......) = 417320359483 * x92249(2156616564......) n=94155: x50209(1109988900......) = 415192855471 * x50197(2673429673......) n=94910: c37961(1099989000......) = 411052932161 * c37949(2676027620......) n=96022: x46795(2863919560......) = 411775367569 * x46783(6955053133......) n=97929: x58321(1000000000......) = 418159767871 * x58309(2391430445......)