PRP Records

Probable Primes Top 10000

(218736 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 ?
25012^366558+1874479110345Enzo Doria06/2016
250218^87853-4409110280Enzo Doria03/2013
25032^366218-23110243Lelio R Paula02/2013
2504(21*2^366193-1)/197110235Lelio R Paula03/2014
25052^366178-343991110231Enzo Doria07/2015
25062^365944+1871341110161Enzo Doria05/2016
25072^365838-461267110129Enzo Doria07/2015
25082^365763-6555110106Lelio R Paula04/2017
2509(2^365689+2^182845+1)/511008311/2006
25102^365666-459161110077Enzo Doria05/2015
25113*10^110076-7110077Robert Price08/2015
251213^98785-72110041Lelio R Paula03/2017
2513(25^78707+1)/26110027Robert Price06/2013
2514(7*10^110006-151)/9110006Robert Price02/2018
25156^141361-7110001Lelio R Paula11/2014
251620^84536+81109984Lelio R Paula03/2017
25175*2^365347-9109982Lelio R Paula09/2014
25189*6^141303+7109957Lelio R Paula11/2014
251978^58099+77109929Norbert Schneider02/2015
25202*10^109928-7109929Robert Price10/2015
2521(27*2^365137-1)/2021109916Lelio R Paula03/2014
2522(4441*29^75152-24)/7109905Curtis Bright05/2015
2523(2^365087+7)/6015109899Lelio R Paula01/2014
252418^87533-11109878Lelio R Paula04/2017
25252^364982-5109871Henri Lifchitz04/2006
25262^364936-1867979109857Enzo Doria04/2016
25272^364867-112087109836Enzo Doria06/2014
25284^182415-85061109825Mike Oakes06/2011
2529(17^89227+16^89227)/33109788Robert Price08/2013
25302^364687-187109782Lelio R Paula01/2012
25312^364644+67109769Lelio R Paula01/2012
2532(9787*2^364625-1)/24947109763Lelio R Paula05/2015
2533(2^364616+5)/9109760Lelio R Paula01/2014
253412^101694+73109747Lelio R Paula03/2017
253513^98518-66109744Lelio R Paula03/2017
25372^364478-113261109719Enzo Doria07/2014
2536(2^364513+1)/(3*44290516579)109719Gord Palameta08/2018
2538(24737*2^364454+1)/3109716Lelio R Paula07/2014
2539(62*10^109673+1)/9109674Serge Batalov11/2010
25403^229824+340109654Lelio R Paula03/2017
2541(2*10^109645-71)/3109645Robert Price12/2017
25422^364169-112813109626Enzo Doria06/2014
254310^109615+21109616Lelio R Paula03/2017
254410^109615-456267109615Patrick De Geest03/2017
25452^364094-113109604Lelio R Paula01/2012
2546(4^182026+11)/3109591Robert Price02/2017
25472^364041-6883109588Lelio R Paula09/2011
254812^101545+11109586Lelio R Paula03/2017
25492^363842-2787101109528Enzo Doria03/2016
2550(22699*2^363782+1)/763109511Lelio R Paula07/2014
25512^363769+5711109506Lelio R Paula04/2017
2552(31*2^363748+1)/49109499Lelio R Paula03/2014
2553p(22245)#/2-8109462Robert Price01/2017
25542^363556+55109442Lelio R Paula01/2012
2555(55459*2^363411+1)/81109401Lelio R Paula07/2014
25562^363406+1871569109397Enzo Doria05/2016
2557(2^363349+7)/9109378Lelio R Paula01/2014
25583^229236+100109374Lelio R Paula03/2017
25592^363268-58695109355Lelio R Paula04/2017
25602^363191-112321109332Enzo Doria06/2014
25612^363120+3109311Donovan Johnson04/2006
2562(10^109297-1)/9109297Paul Bourdelais, Harvey Dubner04/2007
25632^363042-114641109287Enzo Doria04/2015
25642^363020-112793109280Enzo Doria06/2014
2565(67607*2^362695+1)/70499109183Lelio R Paula07/2014
2566(9*2^362644+1)/5109167Lelio R Paula03/2014
25675^156181+38109166Lelio R Paula02/2017
25683^228750+68109142Lelio R Paula03/2017
2569(10223*2^362376+1)/9109090Lelio R Paula07/2014
257065^60167-64^60167109078Robert Price08/2013
25717*3^228589-2109066Lelio R Paula09/2014
2572(78557*2^362188+1)/189109033Lelio R Paula07/2014
25732*7^129008+9109025Lelio R Paula11/2014
2574(5*10^108960+91)/3108961Robert Price04/2018
25752^361957+76367108960Enzo Doria05/2016
25762^361873-1411108935Yves Minet01/2013
2577(24737*2^361857+1)/35108933Lelio R Paula07/2014
2578115^52842-114108892Norbert Schneider07/2018
257913^97745-24108883Lelio R Paula03/2017
258017^88475+8108864Lelio R Paula04/2017
25812^361567+51108843Lelio R Paula01/2012
25822^361563-109501108842Enzo Doria04/2014
258312^100852+83108838Lelio R Paula03/2017
25842^361497+767108822Lelio R Paula01/2012
25852^361280-112349108757Enzo Doria06/2014
25862^361271-5955108754Lelio R Paula04/2017
258712^100757+19108736Lelio R Paula03/2017
258814^94849-61108710Lelio R Paula05/2017
2589(19^85009-5^85009)/14108705Robert Price07/2013
2590(11*2^361027+1)/40463108677Lelio R Paula03/2014
25912^360973+1299108664Lelio R Paula04/2017
25922^360959-109101108660Enzo Doria04/2014
25936*5^155454+7108659Lelio R Paula11/2014
259410^108656+79108657Lelio R Paula02/2017
259510^108656-50001108656Patrick De Geest03/2017
25962^360918-35108648Lelio R Paula01/2012
2597(11*2^360886-1)/7108638Lelio R Paula03/2014
25983*10^108624-49108625Robert Price07/2018
25992^360706-458903108584Enzo Doria04/2015
26002^360641-113185108564Enzo Doria07/2014
26012^360618+75019108557Enzo Doria04/2016
2602(14*10^108545-221)/9108546Robert Price04/2018
26033*5^155286+2108541Lelio R Paula11/2014
26047^128422+4108530Lelio R Paula11/2014
26057^128421-80108529Lelio R Paula03/2017
26062^360497+53807108521Yves Minet07/2010
26072^360366+1459108481Lelio R Paula09/2011
26082^360364-1499108481Yves Minet05/2013
260914^94642-23108472Lelio R Paula05/2017
26104*10^108412+9108413Robert Price05/2015
26112^360093-351103108399Enzo Doria06/2015
26122^360042+723108384Lelio R Paula01/2012
261385^56164-2108364Lelio R Paula10/2013
26142^359937-29323108352Enzo Doria07/2015
26152^359898-19997108341Enzo Doria06/2013
26162*5^154948-7108305Lelio R Paula11/2014
261710^108303+13108304Lelio R Paula02/2017
261810^108303-207959108303Patrick De Geest03/2017
26192^359730+753108290Lelio R Paula12/2011
2620(8*10^108273+13)/3108274Robert Price06/2018
26212^359650-19797108266Enzo Doria06/2013
262291^55259-90^55259108255Robert Price07/2015
26233^226845+68108233Lelio R Paula03/2017
26245^154822-12866108216Enzo Doria05/2014
2625(9*2^359480+1)/5108215Lelio R Paula03/2014
26262^359454-177108207Lelio R Paula12/2011
26276^139022-59108181Lelio R Paula02/2017
26282^359352-179108176Lelio R Paula12/2011
26292^359338-1858781108172Enzo Doria04/2016
263012^100230-97108167Lelio R Paula03/2017
2631(25*2^359297-1)/137108159Lelio R Paula03/2014
2632(2^359262-509203)/9108148Lelio R Paula12/2013
2633(3^226648-8)/352715633108131Lelio R Paula12/2013
26346^138956-59108129Lelio R Paula02/2017
26352^359184+30285108126Lelio R Paula04/2017
263613^97059+10108119Lelio R Paula03/2017
26372^359137-81108112Lelio R Paula12/2011
2639(15185*2^359105-1)/567108103Lelio R Paula05/2015
26382^359110-11655108103Lelio R Paula04/2017
26408*6^138875+5108067Lelio R Paula11/2014
26412^358987-216919108066Enzo Doria05/2014
264239^67918-67918^39108062Norbert Schneider02/2017
26432^358785-16933108006Enzo Doria05/2013
2644(2^358783+5)/33383108000Lelio R Paula12/2013
26456^138770-77107985Lelio R Paula02/2017
2646(2^358727-1017)/94178479107980Lelio R Paula12/2013
264710^107976+19107977Lelio R Paula02/2017
264810^107976-202103107976Patrick De Geest03/2017
26492^358684+75781107975Enzo Doria04/2016
265099^54094+2107952Lelio R Paula06/2013
2651(2^358583-9)/391107942Lelio R Paula12/2013
26522^358538+55107931Lelio R Paula12/2011
26532^358517-109009107925Enzo Doria03/2014
26543^226159+104107906Lelio R Paula03/2017
26552^358310-11655107863Lelio R Paula03/2017
26562^358275-112987107852Enzo Doria07/2014
26572^358233-20005107839Enzo Doria06/2013
26582^358194+175107828Lelio R Paula12/2011
2659107^53125-106107812Norbert Schneider12/2016
26603^225922-2107793Lelio R Paula10/2013
266112^99874-95107783Lelio R Paula03/2017
26622^358030-171107778Lelio R Paula12/2011
266311^103488-4170107772Enzo Doria12/2012
26642^357911-20089107742Enzo Doria06/2013
26652^357885+12857107735Yves Minet07/2010
26667^127473+40107728Lelio R Paula03/2017
26675*2^357850+9107725Lelio R Paula09/2014
26682^357786-291191107705Enzo Doria06/2015
266918^85798-23107700Lelio R Paula04/2017
26702^357688-1854269107675Enzo Doria09/2015
26712^357671-112225107670Enzo Doria06/2014
26722^357618-21005107654Enzo Doria06/2013
26732^357615-17505107653Enzo Doria05/2013
2674(30^72871-1)/29107638Robert Price12/2011
26752^357521+1870217107625Enzo Doria05/2016
26762^357477-1203107612Lelio R Paula03/2017
26775^153894-18107568Lelio R Paula02/2017
26782^357324-69059107566Enzo Doria11/2015
26792^357283-869688105107553Lelio R Paula01/2017
26802^357280-16805107552Enzo Doria05/2013
268110^107547+481719107548Patrick De Geest03/2017
268210^107547-47107547Lelio R Paula02/2017
268317^87396-32107537Lelio R Paula04/2017
26842^357081+107107493Lelio R Paula12/2011
26852^357058-3911107486Yves Minet04/2017
26863^225274+64107484Lelio R Paula03/2017
268718^85619-95107476Lelio R Paula04/2017
26883^225248-130107471Lelio R Paula03/2017
2689(5*2^356961+1)/143107455Lelio R Paula03/2014
26902^356935-18085107449Enzo Doria05/2013
269110^107409+37107410Lelio R Paula02/2017
269210^107409-329633107409Patrick De Geest03/2017
26932^356787-109027107404Enzo Doria04/2014
2694(2^356767+78557)/5107397Lelio R Paula12/2013
26955^153622-42107378Lelio R Paula02/2017
26962^356699-97305107378Lelio R Paula03/2017
26972^356654+85107364Lelio R Paula11/2011
26982^356641-19921107360Enzo Doria06/2013
26992^356623-465107355Lelio R Paula03/2017
270019^83945-92107345Lelio R Paula02/2017
270110^107334+28149107335Patrick De Geest03/2017
270210^107334-83107334Lelio R Paula02/2017
27032^356518+885107323Lelio R Paula03/2017
2704(3*2^356506-1)/467107317Lelio R Paula03/2014
27052^356442-114713107300Enzo Doria04/2015
27062^356425+72257107295Enzo Doria04/2016
27072^356351-112237107273Enzo Doria06/2014
2708(6^137845-11)/5107264Paul Bourdelais11/2011
27092^356322+74539107264Enzo Doria04/2016
27102^356274+1874479107250Enzo Doria06/2016
271120^82422-93107234Lelio R Paula02/2017
27122^356157-20365107214Enzo Doria06/2013
27132^356129-18949107206Enzo Doria05/2013
27142^356100-109587107197Enzo Doria04/2014
2715(31*2^355970+1)/5107159Lelio R Paula03/2014
27162^355968-64875107158Lelio R Paula01/2017
27172^355952+1870321107153Enzo Doria05/2016
27182^355915-117107142Lelio R Paula11/2011
2719(19*2^355838-1)/15107119Lelio R Paula03/2014
27203^224495-8107112Lelio R Paula12/2013
27217^126691-44107067Lelio R Paula03/2017
27224^177830-8243107065Mike Oakes02/2011
27232^355524-21237107024Enzo Doria06/2013
2724(10223*2^355515+1)/4855107022Lelio R Paula07/2014
27252^355494-19901107015Enzo Doria06/2013
27262^355454-869688105107003Lelio R Paula01/2017
27272^355366+54615106976Lelio R Paula01/2017
2728(31*2^355346-1)/1563106969Lelio R Paula03/2014
27292^355275-19861106949Enzo Doria06/2013
2730(9179*2^355234-1)/1915106937Lelio R Paula05/2015
27314*10^106892-3106893Robert Price10/2015
2732(66^58741+1)/67106881Paul Bourdelais08/2017
27332^354946-3106850M. Frind & P. Underwood08/2002
27342^354873-18693106828Enzo Doria05/2013
27352^354828+4257106814Lelio R Paula01/2017
2736(21^80761+1)/22106783Paul Bourdelais03/2010
27372^354640-354640+1106758Robert Price10/2014
27382^354585+95106741Lelio R Paula10/2011
27392^354553+189106732Lelio R Paula10/2011
27402^354514-109031106720Enzo Doria04/2014
27412^354509-109465106718Enzo Doria04/2014
2742(15*2^354478-1)/26983106706Lelio R Paula03/2014
274315^90710+28106684Lelio R Paula04/2017
27447^126237+34106683Lelio R Paula03/2017
27452^354385-115315106681Enzo Doria06/2015
27462^354327-19305106664Enzo Doria06/2013
2747(35*10^106649+1)/9106650Serge Batalov11/2010
274810^106636+97106637Lelio R Paula02/2017
274910^106636-22923106636Patrick De Geest03/2017
27502^354220-57106631Lelio R Paula10/2011


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: August, 14 2018 21:45 (Time in France)

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