PRP Records

Probable Primes Top 10000

(172213 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 ?
27512^336871+1210299101409Tony Prest / Never Odd Or Even04/2016
27522^336871+1921185101409Tony Prest / Never Odd Or Even04/2016
27532^336871+2003973101409Tony Prest / Never Odd Or Even04/2016
27542^336871+2656475101409Tony Prest / Never Odd Or Even04/2016
27552^336871+2703023101409Tony Prest / Never Odd Or Even04/2016
27562^336871+2704545101409Tony Prest / Never Odd Or Even04/2016
27572^336871+2766801101409Tony Prest / Never Odd Or Even04/2016
27582^336871+2127735101409Tony Prest / Never Odd Or Even04/2016
2759(2^336871+821089)/3101408Tony Prest / Never Odd Or Even05/2016
2760(2^336871+119567)/5101408Tony Prest / Never Odd Or Even05/2016
2761(2^336871+398161)/3101408Tony Prest / Never Odd Or Even05/2016
2762(2^336871+625889)/7101408Tony Prest / Never Odd Or Even05/2016
27632^336842+94065101400Lelio R Paula09/2016
2764(2^336871+904417)/3/3/3/5/19/9287177/9690011663/29993043103101378Tony Prest / Never Odd Or Even04/2016
2765(2^336871+631971)/13/251/1601/294277/614362921/30324278867101377Tony Prest / Never Odd Or Even04/2016
2766(2^336871+1443541)/3/89/1655197/11018131/47972707/468862691879101374Tony Prest / Never Odd Or Even04/2016
2767(2^336871+689863)/3/11/109/137/1867/7151/20800501/29243857/127778489101373Tony Prest / Never Odd Or Even04/2016
2768(2^336871+219839)/191/643/3011/9479/117127/175750007/4578271757101373Tony Prest / Never Odd Or Even04/2016
2769(2^336871+272895)/19/661/977572033/95853078653/520779768241101373Tony Prest / Never Odd Or Even04/2016
2770(2^336871+1023429)/2311/415873/991889/3630648341/207732189179101373Tony Prest / Never Odd Or Even04/2016
277110^101369+203811101370Patrick De Geest11/2016
277210^101369-99101369Lelio R Paula09/2016
2773(2^336871+1832627)/5/5/23/181/4397/91373/3746673331/115602484097/279351383917101363Tony Prest / Never Odd Or Even04/2016
27742^336701-113563101358Enzo Doria08/2014
27752^336644-109023101340Enzo Doria04/2014
27762^336601-21081101327Enzo Doria06/2013
277720^77869+63101310Lelio R Paula09/2016
2778(13*2^336523-1)/19101304Lelio R Paula03/2014
27796^130179-137101299Lelio R Paula10/2016
2780(2^336506+lucasV(1,2,336506)+1)/2101299Mike Oakes11/2016
2781(24737*2^336485+1)/7285101293Lelio R Paula07/2014
2782(2^336448+9)/497405101276Lelio R Paula12/2013
27832^336369-19753101258Enzo Doria05/2013
27842^336350-344291101252Enzo Doria07/2015
27852^336243-108777101220Enzo Doria03/2014
2786(31*2^336189-1)/19101204Lelio R Paula03/2014
2787(78557*2^336178+1)/1268757101199Lelio R Paula07/2014
27882^336150-20393101192Enzo Doria06/2013
27892^336112-1865249101180Enzo Doria03/2016
27902^336103-109015101178Enzo Doria04/2014
279113^90809-96101157Lelio R Paula10/2016
279219^79098-30101147Lelio R Paula10/2016
279319^79095+88101144Lelio R Paula10/2016
279415^85976+32101116Lelio R Paula10/2016
2795(3^211950+7)/28854513015920697088101107Lelio R Paula11/2013
2796(4^167933+17)/3101106Robert Price02/2017
27972^335858+153101104Lelio R Paula10/2009
27986^129918-35101096Lelio R Paula10/2016
27993^211885-70101095Lelio R Paula09/2016
2800(29*2^335835-1)/550599101093Lelio R Paula03/2014
28012^335818-20033101092Enzo Doria06/2013
28022^335813-110083101090Enzo Doria04/2014
28032^335804+2155101088Lelio R Paula09/2016
28042^335784-16145101082Enzo Doria04/2013
280511^97051+62101069Lelio R Paula10/2016
2806(2^335691-3)/26515101049Lelio R Paula12/2013
28072^335658-94395101044Lelio R Paula09/2016
28082^335586+169101022Lelio R Paula10/2009
280947599!2+1024100991Robert Price02/2015
28102^335468-18629100986Enzo Doria05/2013
28112^335454-20961100982Enzo Doria06/2013
281210^100978+61100979Lelio R Paula09/2016
281310^100978-156437100978Patrick De Geest11/2016
2814(15*2^335417+1)/481100970Lelio R Paula12/2013
28152^335403-1859167100967Enzo Doria03/2016
28169*2^335364-5100956Lelio R Paula08/2014
28172^335349+72287100951Enzo Doria04/2016
28182^335329+16095100945Lelio R Paula09/2016
28192^335237-20893100917Enzo Doria06/2013
28202^335222-19337100912Enzo Doria05/2013
28212^335222-109985100912Enzo Doria04/2014
28222^335182-17237100900Enzo Doria05/2013
28232^335043-16737100858Enzo Doria05/2013
2824(21181*2^335049+1)/1343811100858Lelio R Paula07/2014
28252^335038-20633100857Enzo Doria06/2013
28262^335031+1873373100855Enzo Doria06/2016
28273^211354-8816100842Enzo Doria05/2014
28282^334984-112757100841Enzo Doria06/2014
28302^334857+48527100803Lelio R Paula08/2011
282912^93406+29100803Lelio R Paula10/2016
2831(5*2^334825+1)/47100792Lelio R Paula12/2013
28322^334809-13100788Lelio R Paula04/2011
2833(82*10^100780-1)/9100781Robert Price12/2014
2834(2^334779+47)/5100778Lelio R Paula12/2013
28352^334751+2049100771Lelio R Paula09/2016
283613^90443-98100749Lelio R Paula10/2016
2837(24737*2^334628+1)/3100737Lelio R Paula07/2014
283815^85639-28100720Lelio R Paula10/2016
28392^334562+577294575100711Lelio R Paula09/2016
28404*3^211077-5100710Lelio R Paula08/2014
28412^334524+145100702Lelio R Paula07/2009
2842(1017*2^334391-1)/3535100662Lelio R Paula05/2015
28432^334294-113111100633Enzo Doria07/2014
28446^129308-17723100622Enzo Doria03/2013
28456^129305+95100619Lelio R Paula10/2016
28462^334244-1167100618Lelio R Paula09/2016
2847(21*2^334050+1)/935100558Lelio R Paula12/2013
2848(78557*2^334018+1)/4326021100548Lelio R Paula07/2014
2849(35*10^100542+1)/9100543Serge Batalov11/2010
285013^90251+24100535Lelio R Paula10/2016
28512^333963+789100533Lelio R Paula08/2011
28522^333919-1840087100520Enzo Doria06/2015
28532^333911+72623100518Enzo Doria04/2016
285418^80064-67100503Lelio R Paula10/2016
28555^143742-48100472Lelio R Paula10/2016
28562^333757-112123100471Enzo Doria06/2014
28572^333603-108861100425Enzo Doria03/2014
28589*7^118818-2100414Lelio R Paula11/2014
28592^333546-17097100408Enzo Doria05/2013
286017^81597+72100401Lelio R Paula10/2016
2861p(20559)#/2+8100384Robert Price01/2017
286211^96390-24100380Lelio R Paula10/2016
28634832563059*2^333333+30029100353Donovan Johnson01/2008
28642^333354+763100350Lelio R Paula08/2011
28652^333289-109483100330Enzo Doria04/2014
28662^333240-2790209100316Enzo Doria03/2016
2868(2^333227-2^166614+1)/510031111/2006
28672^333225+719100311Lelio R Paula08/2011
28692^333221-2785333100310Enzo Doria10/2015
287076^53332-75100308Norbert Schneider02/2015
28716^128892-17573100298Enzo Doria03/2013
28722^333105-113215100275Enzo Doria07/2014
2873(31*2^333102+1)/2375100272Lelio R Paula11/2013
287417^81476-74100253Lelio R Paula10/2016
287517^81417-16100180Theodore Burton11/2005
28762^332739-113215100165Enzo Doria07/2014
28772^332730-1865621100162Enzo Doria03/2016
287891^51127-2100160Lelio R Paula09/2013
287915^85159-32100155Lelio R Paula10/2016
28806^128661+97100118Lelio R Paula10/2016
288119^78285+40100108Lelio R Paula07/2016
28826^128640+5100102Lelio R Paula11/2014
28836^128565-127100044Lelio R Paula08/2016
28842^332309-133100035Lelio R Paula02/2011
28852^332307+731100035Lelio R Paula07/2011
28862^332301+12927100033Lelio R Paula04/2013
288712^92684-13100023Lelio R Paula07/2016
290225206!+p(4114)100001Henri Lifchitz09/2005
290325206!-p(5447)100001Henri Lifchitz10/2005
290425206!-p(12402)100001Henri Lifchitz04/2006
290525206!-p(16290)100001Henri Lifchitz09/2006
290625206!-p(19647)100001Henri Lifchitz02/2007
29072^332194+11473100001Henri Lifchitz03/2007
291110^100000+342909100001Milton L. Brown12/2007
291210^100000+346579100001Robert Price04/2012
291310^100000+829767100001Robert Price05/2012
291410^100000+871899100001Robert Price05/2012
291510^100000+1475997100001Robert Price07/2012
291610^100000+1751769100001Robert Price08/2012
291710^100000+2155489100001Robert Price10/2012
291810^100000+2483527100001Robert Price12/2012
291910^100000+2503087100001Robert Price12/2012
292010^100000+2686179100001Robert Price12/2012
292110^100000+2688933100001Robert Price12/2012
292210^100000+3667159100001Robert Price08/2013
289610^100000+3938473100001Robert Price05/2015
289710^100000+3979761100001Robert Price05/2015
289810^100000+4293973100001Robert Price09/2015
290810^100000+4858267100001Robert Price12/2015
290910^100000+5113299100001Robert Price02/2016
291010^100000+5169411100001Robert Price02/2016
288810^100000+5354043100001Robert Price05/2016
288910^100000+5717979100001Robert Price05/2016
289010^100000+6080631100001Robert Price07/2016
289110^100000+6308469100001Robert Price07/2016
289210^100000+6512023100001Robert Price08/2016
289310^100000+6596557100001Robert Price08/2016
289410^100000+7115409100001Robert Price10/2016
289510^100000+7235803100001Robert Price10/2016
289910^100000+7867333100001Robert Price12/2016
290010^100000+8743093100001Robert Price02/2017
290110^100000+8955391100001Robert Price03/2017
292310^99999+309403100000Daniel Heuer01/2004
292410^100000-260199100000Patrick De Geest01/2010
292510^99999-5951199999Patrick De Geest07/2009
29262^332141-11307399985Enzo Doria07/2014
2927(3^209561+2)/72810125599978Lelio R Paula09/2013
29282^332085+186589799968Enzo Doria03/2016
2929(9787*2^332070-1)/93640236999959Lelio R Paula05/2015
29302^332023+19199949Lelio R Paula02/2011
29312^331938+7114999924Enzo Doria04/2016
29322^331932-7879599922Lelio R Paula09/2016
29332^331921+77199919Lelio R Paula01/2013
2934(3^209419-2)/513275599912Lelio R Paula09/2013
29352^331860-11498999900Enzo Doria05/2015
29362^331746-1165599866Lelio R Paula09/2016
293711^95891-2899861Lelio R Paula08/2016
2938(2^331694-5)/1199849Lelio R Paula10/2013
2939(3^209246+7)/6499834Lelio R Paula09/2013
294015^84866-5299811Lelio R Paula08/2016
294113^89600+3099810Lelio R Paula08/2016
29425^142772-3899794Lelio R Paula08/2016
2943(23*2^331459+1)/47599778Lelio R Paula11/2013
29442^331416-331416+199767Robert Price10/2014
29452^331256-5799718Lelio R Paula12/2012
29462^331185+73799697Lelio R Paula01/2013
29472^331154+188052799688Enzo Doria10/2016
2948(19^77951+1)/2099679Paul Bourdelais03/2010
29492^331110+187045999675Enzo Doria05/2016
29505*2^331075+799665Lelio R Paula08/2014
2951(16*10^99656-31)/399657Robert Price03/2016
29522^330968+34599632Lelio R Paula09/2016
29542*5^142528-799624Lelio R Paula11/2014
29532^330942+7732999624Enzo Doria05/2016
295514^86914-9999615Lelio R Paula08/2016
2956(19*2^330902+1)/7799611Lelio R Paula11/2013
29572^330845+7168799595Enzo Doria04/2016
2958(23*2^330770+1)/399573Lelio R Paula11/2013
29592^330735+841599562Lelio R Paula09/2016
29602^330720+7407199557Enzo Doria04/2016
296131^66738-299531Lelio R Paula09/2013
29627*3^208567+499513Lelio R Paula08/2014
2963(13*10^99508+47)/399509Robert Price01/2017
29642^330553+77999507Lelio R Paula01/2013
296515^84606-9499505Lelio R Paula08/2016
29666^127858+4799493Lelio R Paula08/2016
29675^142337+4899490Lelio R Paula08/2016
29687^117724-2099489Lelio R Paula08/2016
2969(29*10^99474-17)/399475Erik Branger09/2014
2970(9*2^330407-1)/799463Lelio R Paula03/2014
2971(68*10^99441+7)/399443Robert Price03/2016
297246^59791-45^5979199418Jean-Louis Charton01/2013
2973(2*10^99408+529)/999408Robert Price01/2017
297453^57646-299398Lelio R Paula09/2013
29752^330165+187002599390Enzo Doria05/2016
29762^330142-15599383Lelio R Paula12/2012
29772^330088-11525999367Enzo Doria06/2015
2978(746*10^99303+1)/999305Robert Price02/2017
29793^208107+4099293Lelio R Paula08/2016
2980(5*2^329833-1)/36999288Lelio R Paula02/2014
29818*3^208093+599287Lelio R Paula08/2014
29825^142043+5699284Lelio R Paula08/2016
298322*10^99275+799277Robert Price04/2016
29842^329778+187618999274Enzo Doria07/2016
2985(10^99239-13)/399239Robert Price02/2017
29863^207987+6299236Lelio R Paula08/2016
29872^329638+4999231Lelio R Paula12/2012
29887^117413-1899226Lelio R Paula08/2016
29892^329586-45890399216Enzo Doria04/2015
29902^329553+10199206Lelio R Paula12/2012
29912^329551-11289799205Enzo Doria06/2014
2992(3^207925+7)/5099204Lelio R Paula09/2013
29936^127458-1799399182Enzo Doria03/2013
2994(46*10^99143-1)/999144Robert Price12/2014
299518^78968-306599127Enzo Doria03/2013
29962^329259+18999117Lelio R Paula12/2012
29978*10^99113+3999114Robert Price01/2017
29986^127364+7799109Lelio R Paula08/2016
29996^127285+1399047Lelio R Paula08/2016
30002^329007+7328399041Enzo Doria04/2016


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: March, 26 2017 17:51 (Time in France)

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