PRP Records

Probable Primes Top 10000

(205869 PRPs in the top)


What is a PRP ?

A PRP is a probable prime number, a number that nobody knows how to prove or disprove its primality.
Here are some criterions that can be used to recognize these numbers :

- N does not have any prime factor up to 2^32.
- N cannot be trivially written into a product.
- Take 3 square-free consecutive bases such that (b1/N)=(b2/N)=(b3/N)= -1. N should be such that b1^((N-1)/2)=b2^((N-1)/2)=b3^((N-1)/2)= -1 (mod N).
- Take a prime base such that (b/N)= -1 and b<>b1<>b2<>b3. N should pass the strong test in base b.
- or more (if someone has got an idea) !!!


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1-250   251-500   501-750   751-1000   1001-1250   1251-1500   1501-1750   1751-2000   
2001-2250   2251-2500   2501-2750   2751-3000   3001-3250   3251-3500   3501-3750   3751-4000   
4001-4250   4251-4500   4501-4750   4751-5000   5001-5250   5251-5500   5501-5750   5751-6000   
6001-6250   6251-6500   6501-6750   6751-7000   7001-7250   7251-7500   7501-7750   7751-8000   
8001-8250   8251-8500   8501-8750   8751-9000   9001-9250   9251-9500   9501-9750   9751-10000   


Rank Probable prime Digits (> 30000) Who ? When ?
3751(1000547^15749+1)/100054894492Faysal YAtim12/2008
3752(F(3*75345)^2+L(3*75345)^2)/494477Henri Lifchitz10/2017
37537^111792-3294476Lelio R Paula04/2016
375411^90680-585094434Enzo Doria01/2013
37552^313675-11012594426Enzo Doria04/2014
3756(2999*29^64556-2427)/494410Curtis Bright05/2015
37572^313609-11222594406Enzo Doria06/2014
37582^313584+7290194399Enzo Doria04/2016
37592^313510-11286594376Enzo Doria06/2014
37607*10^94373+8794374Robert Price11/2016
3761(9^98897+8^98897)/1794371Robert Price12/2012
37622^313453-11470394359Enzo Doria04/2015
37638*10^94357-5194358Robert Price10/2017
3764(379*10^94337-1)/994339Robert Price08/2017
37652^313344-313344+194326Robert Price10/2014
376620^72481-4994300Lelio R Paula05/2016
376744725!2+12894289Robert Price03/2015
37684*10^94286+994287Robert Price05/2015
376917^76621+2494279Lelio R Paula07/2016
37702^313156-11285994270Enzo Doria06/2014
37716^121130-5994258Lelio R Paula05/2016
37723^197542+2894252Robert Price11/2013
3773(3^197521+2)/5165594237Lelio R Paula04/2013
37742^313045-595594236Lelio R Paula03/2016
3775(67*10^94212+23)/994213Ray Chandler02/2011
37762^312909-186520394195Enzo Doria03/2016
37772^312848-14994177Lelio R Paula11/2012
37784^156403-7759794164Mike Oakes04/2011
377918^75004-8594151Lelio R Paula06/2016
378019^73622-4894145Lelio R Paula06/2016
3781(11^90397-3^90397)/894138Robert Price04/2011
3782(3^197287+5)/1694129Lelio R Paula04/2013
378312^87212-3794118Lelio R Paula06/2016
378411^90376+7694117Lelio R Paula05/2016
3785(6^120946-11)/594114Paul Bourdelais11/2011
3786(10^94096+191)/394096Robert Price11/2017
37872^312562-11268594091Enzo Doria06/2014
3788137^44026-294072Lelio R Paula10/2017
37892^312404-86968810594043Lelio R Paula09/2016
37902^312387+279353394038Enzo Doria03/2016
379210^94016+9194017Robert Price04/2011
3791(15*2^312325-1)/720194017Lelio R Paula02/2014
379310^94016-18896394016Patrick De Geest08/2013
3794(17*2^312315-1)/4594016Lelio R Paula02/2014
37956^120802+766194003Mike Oakes04/2011
3796(67607*2^312254+1)/17794001Lelio R Paula06/2014
3797(11*2^312207+1)/1993984Lelio R Paula09/2013
37982^312201+5193982Lelio R Paula11/2012
3799(4*6^120749+1)/593961Serge Batalov10/2014
38003^196892+5893942Lelio R Paula05/2016
38012^312060+1891593940Lelio R Paula03/2016
38022^311992-1620993919Enzo Doria04/2013
3803(85^48677+1)/8693917Paul Bourdelais08/2017
38042^311965-3993911Lelio R Paula11/2012
38052^311920-11168993898Enzo Doria05/2014
38067*10^93887-4793888Robert Price02/2017
380712^86965-1393851Lelio R Paula06/2016
38082^311705+1609593833Lelio R Paula03/2016
38092^311665-8193821Lelio R Paula11/2012
3810730^32761+32761^73093806Norbert Schneider09/2017
381111^90073+9293802Lelio R Paula05/2016
38126*10^93792+4193793Robert Price01/2017
3813(2^311580+7)/59132993790Lelio R Paula06/2013
381412^86900-7793781Lelio R Paula06/2016
38152^311508-10976993774Enzo Doria04/2014
38162^311486-185962193767Enzo Doria03/2016
3817Phi(93811,10)/968129521/2109997013/3280113810431/63963778254583193765Kurt Beschorner04/2015
38182^311471+31146993763Renaud Lifchitz01/2003
3819(88*10^93760-1)/393762Robert Price10/2017
38202^311426+7945993749Enzo Doria06/2016
38212^311294+577593709Lelio R Paula03/2016
38222^311252-101793697Lelio R Paula03/2016
38232^311247-11204193695Enzo Doria06/2014
38247*10^93692-8393693Robert Price09/2017
38252^311205-10964593683Enzo Doria04/2014
38265^134027-8493681Lelio R Paula04/2016
3827(2^311148-1017)/55793663Lelio R Paula06/2013
3828(2^311027-2^155514+1)/59362811/2006
38293^196192-2893608Robert Price12/2013
3830216091#+26143393606Makoto Morimoto12/2015
38315^133917+6893604Lelio R Paula04/2016
38322^310924-170993598Yves Minet03/2013
3833(266*10^93577-11)/393579Robert Price09/2016
3834(16*10^93577+161)/393578Robert Price05/2016
38353^196113-5693570Lelio R Paula04/2016
38362^310806-11034593562Enzo Doria05/2014
38373^196093+8693561Lelio R Paula04/2016
38382^310780-232793555Yves Minet10/2013
383930^63332+4193550Lelio R Paula08/2012
3840(21181*2^310707+1)/2193536Lelio R Paula06/2014
38418*5^133807+793528Lelio R Paula10/2014
38422^310686+819393526Lelio R Paula03/2016
38432^310646+6393514Lelio R Paula11/2012
3844(77*10^93508+31)/993509Robert Price10/2015
3845(1000907^15583+1)/100090893499Faysal YAtim04/2009
3846(2*10^93497+7)/993497Erik Branger03/2011
38473^195958-11285293496Enzo Doria07/2014
38482^310583+1638593495Lelio R Paula03/2016
3849(9913*2^310557-1)/3593490Lelio R Paula04/2015
38509*7^110614+293481Lelio R Paula11/2014
38512^310469-829593461Lelio R Paula03/2016
38522^310459-115993458Yves Minet11/2012
38536^120075-9593437Lelio R Paula05/2016
38542^310289+9832793407Yves Minet11/2010
38552^310217-11314393385Enzo Doria07/2014
38567^110494-6893379Lelio R Paula04/2016
38572^310184-11309393375Enzo Doria07/2014
38582^310180-11041793374Enzo Doria05/2014
3859gcd(V(1124905),5*F(224981)*(F(224981)-1)+1)93372Serge Batalov04/2015
38603^195669+6893358Lelio R Paula04/2016
386110^93356+9193357Robert Price04/2011
386210^93356-2831393356Patrick De Geest08/2013
3863(85*10^93346+23)/993347Robert Price11/2015
3864(3^195648-5)/315827693342Lelio R Paula04/2013
38653^195556+868093304Lelio R Paula04/2016
38662^309942-10999193302Enzo Doria04/2014
38672^309926-186730193298Enzo Doria03/2016
38682^309924+8595193297Yves Minet03/2011
3869(86*10^93263-77)/993264Robert Price05/2016
38706^119836-12593251Lelio R Paula05/2016
3871(77*10^93249-257)/993250Robert Price10/2017
38723^195430-293244Theodore Burton02/2007
3873(13*10^93236+47)/393237Robert Price01/2017
3874(67*10^93226-7)/393228Robert Price10/2017
3875(86*10^93217-221)/993218Robert Price06/2017
38762^309637-1632993211Enzo Doria04/2013
3877(41*10^93207+49)/993208Robert Price04/2016
387814^81312-5793194Lelio R Paula06/2016
387941^57783-4093192Theodore Burton02/2007
38803*10^93179-9793180Robert Price08/2017
38815*7^110252-493175Lelio R Paula11/2014
38822^309380-2793133Lelio R Paula11/2012
388323*10^93116-793118Robert Price03/2016
3884(29*10^93082+1)/393083Robert Price11/2015
3885(58*10^93062-13)/993063Robert Price09/2015
38862^309131+186938393058Enzo Doria05/2016
38872^309066-9393039Lelio R Paula11/2012
38882^309063-11326993038Enzo Doria07/2014
38893^194965+1693022Robert Price10/2013
38902^308979+186914393012Enzo Doria05/2016
38915^133064+5493008Lelio R Paula04/2016
3892(2^308905-509203)/11992988Lelio R Paula06/2013
3893(94*10^92981-49)/9992981Ray Chandler07/2011
3894(2*10^92976-17)/392976Robert Price08/2014
38952^308809+3796792961Phil Moore03/2008
3896(3^194825+5)/1165692952Lelio R Paula04/2013
3897(2^308679+5)/157392919Lelio R Paula06/2013
38982^308650+51392913Lelio R Paula02/2016
38995*7^109936+692908Lelio R Paula10/2014
39002*10^92897+8992898Robert Price07/2016
390112^86073-2992889Lelio R Paula06/2016
39022^308566-11792888Lelio R Paula11/2012
3903(17*10^92869-11)/392870Robert Price07/2015
39042^308459+7543192856Enzo Doria04/2016
39052^308426-186637792846Enzo Doria03/2016
3906(96^46831-1)/9592830Paul Bourdelais09/2017
39072^308349-11211192823Enzo Doria06/2014
39089*10^92821+1992822Robert Price05/2016
39092^308337-7592819Lelio R Paula11/2012
39104*3^194508+792805Lelio R Paula08/2014
391122*25^66379-11392796Curtis Bright05/2015
391211^89101-108092790Enzo Doria12/2012
39132^308236-186785992789Enzo Doria04/2016
391412^85963+2592770Lelio R Paula06/2016
39157^109750-6692750Lelio R Paula04/2016
39169*10^92742+1192743Robert Kinser01/2017
3917(21*2^308046-1)/885792729Lelio R Paula02/2014
39182^307997-11065592717Enzo Doria05/2014
3919L(443609)92709Renaud Lifchitz11/2003
392010^92691+992692Robert Price03/2011
392110^92691-25229192691Patrick De Geest08/2013
39222^307879-252192681Yves Minet07/2014
3923(2^307780-7)/1995966992644Lelio R Paula06/2013
392414^80831+4792643Lelio R Paula06/2016
392515^78744+9292611Lelio R Paula07/2016
392665^51083-6492610Norbert Schneider11/2014
39276^118996-1694392597Enzo Doria02/2013
3928(16*10^92591+41)/392592Robert Price10/2017
3929(3^194014-7)/292568Lelio R Paula04/2013
3930(63^51439+1)/6492555Paul Bourdelais08/2017
3931(26*10^92546-77)/392547Robert Price02/2017
39323^193954+34092540Lelio R Paula04/2016
39332^307407-307407^292539Henri Lifchitz05/2005
3934(17*10^92513-11)/392514Robert Price07/2015
39352^307318-421192512Yves Minet06/2011
39362^307280+19392501Lelio R Paula11/2012
393720^71075-3392471Lelio R Paula05/2016
39382^307126-7879592455Lelio R Paula02/2016
39392^307125-4978992454Henri Lifchitz08/2005
39402^307099+2392447Lelio R Paula11/2012
39417*10^92414-6992415Robert Price01/2017
3942(9787*2^306975-1)/212915592407Lelio R Paula04/2015
39432^306915+187337392391Enzo Doria06/2016
39442^306908+1291592389Lelio R Paula02/2016
394519^72244-8092383Lelio R Paula06/2016
39472^306849+7592371Lelio R Paula11/2012
3946(397*10^92369+53)/992371Robert Price11/2017
39482^306813-86968810592360Lelio R Paula08/2016
39492^306672-10905992318Enzo Doria04/2014
39506^118604-1706392292Enzo Doria02/2013
3951(31*2^306487-1)/229192260Lelio R Paula02/2014
39522^306467-183561192256Enzo Doria04/2015
39532^306433+7642792246Enzo Doria05/2016
39552^306430-11331392245Enzo Doria07/2014
3954(23*10^92244-59)/992245Robert Price03/2017
3956(47*2^306398+1)/138480392231Lelio R Paula04/2015
3957(25*10^92186+59)/392187Robert Price05/2016
39582^306213-28618392180Enzo Doria06/2015
395910^92178+6192179Robert Price04/2011
396010^92178-17550992178Patrick De Geest07/2013
39612^306200+118592176Lelio R Paula02/2016
39622^306153+1192162Lelio R Paula11/2012
3963(2^306141-7)/592157Lelio R Paula06/2013
3964(26*10^92152-23)/392153Robert Price08/2016
3965(2*10^92152+67)/392152Robert Price04/2017
39664*10^92099+3*7^9209992100Mike Oakes12/2010
3967(2^305867-2^152934+1)/59207511/2006
39682^305851-10949592071Enzo Doria04/2014
396912^85300+3592055Lelio R Paula06/2016
39703^192911+9292042Lelio R Paula04/2016
39712^305723-27627192032Enzo Doria07/2015
39722^305676+9392018Donovan Johnson06/2008
39733^192819+491999Lelio R Paula04/2013
3974(38*10^91997-83)/9991997Ray Chandler07/2011
39752^305539+7291191977Enzo Doria04/2016
3976(2^305427-5)/129799821391934Lelio R Paula06/2013
397785^47642+8491922Norbert Schneider10/2015
397810^91920+18765191921Patrick De Geest07/2013
397910^91920-3991920Robert Price05/2011
3980(22*10^91903+41)/991904Robert Price02/2015
39822^305275-2791897Lelio R Paula11/2012
39813^192607-772691897Enzo Doria05/2014
3983(7*10^91856-61)/991856Erik Branger12/2009
3984(89*10^91839-53)/991840Robert Price11/2015
39858*5^131351+791812Lelio R Paula10/2014
39863^192426-6891811Lelio R Paula04/2016
39872^304973+11791807Lelio R Paula11/2012
39882^304939-186372791796Enzo Doria03/2016
39892^304902+841591785Lelio R Paula02/2016
399018^73119+6191785Lelio R Paula06/2016
3991(78557*2^304740+1)/15991739Lelio R Paula06/2014
39922^304747+7135591738Lelio R Paula02/2016
39938*3^192251+591728Lelio R Paula08/2014
39942^304674-8791717Lelio R Paula11/2012
3995(28*10^91715+701)/991716Robert Price11/2017
3996(2^304698+9)/136280995391715Lelio R Paula06/2013
3997(5*10^91707-119)/391708Robert Price04/2016
39982^304633-11277191704Enzo Doria06/2014
39999*10^91693+2391694Robert Price11/2017
40002^304578-1671391688Enzo Doria05/2013


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: April, 22 2018 09:48 (Time in France)

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