PRP Records

Probable Primes Top 10000

(259919 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 (> 50000) Who ? When ?
30012^366629-351205110367Enzo Doria06/2015
30022^366558+1874479110345Enzo Doria06/2016
3003(23*10^110290+19)/3110291Robert Price07/2019
300418^87853-4409110280Enzo Doria03/2013
30052^366218-23110243Lelio R Paula02/2013
3006(21*2^366193-1)/197110235Lelio R Paula03/2014
30072^366178-343991110231Enzo Doria07/2015
30082^365944+1871341110161Enzo Doria05/2016
30092^365838-461267110129Enzo Doria07/2015
30102^365763-6555110106Lelio R Paula04/2017
3011(2^365689+2^182845+1)/511008311/2006
30122^365666-459161110077Enzo Doria05/2015
30133*10^110076-7110077Robert Price08/2015
301413^98785-72110041Lelio R Paula03/2017
3015(25^78707+1)/26110027Robert Price06/2013
3016(7*10^110006-151)/9110006Robert Price02/2018
30176^141361-7110001Lelio R Paula11/2014
301820^84536+81109984Lelio R Paula03/2017
30195*2^365347-9109982Lelio R Paula09/2014
30209*6^141303+7109957Lelio R Paula11/2014
302178^58099+77109929Norbert Schneider02/2015
30222*10^109928-7109929Robert Price10/2015
3023(27*2^365137-1)/2021109916Lelio R Paula03/2014
3024(4441*29^75152-24)/7109905Curtis Bright05/2015
3025(2^365087+7)/6015109899Lelio R Paula01/2014
302618^87533-11109878Lelio R Paula04/2017
30272^364982-5109871Henri Lifchitz04/2006
30283*10^109861+59109862Robert Price08/2018
30292^364936-1867979109857Enzo Doria04/2016
30302^364867-112087109836Enzo Doria06/2014
30314^182415-85061109825Mike Oakes06/2011
3032(17^89227+16^89227)/33109788Robert Price08/2013
30332^364687-187109782Lelio R Paula01/2012
30342^364644+67109769Lelio R Paula01/2012
3035(9787*2^364625-1)/24947109763Lelio R Paula05/2015
3036(2^364616+5)/9109760Lelio R Paula01/2014
3037(55*10^109759+89)/9109760Robert Price03/2019
303812^101694+73109747Lelio R Paula03/2017
303913^98518-66109744Lelio R Paula03/2017
30402^364478-113261109719Enzo Doria07/2014
3041(2^364513+1)/(3*44290516579)109719Gord Palameta08/2018
3042(24737*2^364454+1)/3109716Lelio R Paula07/2014
3043(62*10^109673+1)/9109674Serge Batalov11/2010
30443^229824+340109654Lelio R Paula03/2017
3045(2*10^109645-71)/3109645Robert Price12/2017
30462^364169-112813109626Enzo Doria06/2014
304710^109615+21109616Lelio R Paula03/2017
304810^109615-456267109615Patrick De Geest03/2017
30492^364094-113109604Lelio R Paula01/2012
3050(4^182026+11)/3109591Robert Price02/2017
30512^364041-6883109588Lelio R Paula09/2011
305212^101545+11109586Lelio R Paula03/2017
30532^363842-2787101109528Enzo Doria03/2016
3054(22699*2^363782+1)/763109511Lelio R Paula07/2014
30552^363769+5711109506Lelio R Paula04/2017
3056(31*2^363748+1)/49109499Lelio R Paula03/2014
3057p(22245)#/2-8109462Robert Price01/2017
30582^363556+55109442Lelio R Paula01/2012
3059(55459*2^363411+1)/81109401Lelio R Paula07/2014
30602^363406+1871569109397Enzo Doria05/2016
3061(2^363349+7)/9109378Lelio R Paula01/2014
30623^229236+100109374Lelio R Paula03/2017
30632^363268-58695109355Lelio R Paula04/2017
30642^363191-112321109332Enzo Doria06/2014
30654*10^109316-63109317Robert Price10/2018
30662^363120+3109311Donovan Johnson04/2006
3067(10^109297-1)/9109297Paul Bourdelais, Harvey Dubner04/2007
30682^363042-114641109287Enzo Doria04/2015
30692^363020-112793109280Enzo Doria06/2014
3070(67607*2^362695+1)/70499109183Lelio R Paula07/2014
3071(9*2^362644+1)/5109167Lelio R Paula03/2014
30725^156181+38109166Lelio R Paula02/2017
30734*10^109142+91109143Robert Price08/2018
30743^228750+68109142Lelio R Paula03/2017
3075(10223*2^362376+1)/9109090Lelio R Paula07/2014
307665^60167-64^60167109078Robert Price08/2013
30777*3^228589-2109066Lelio R Paula09/2014
3078(78557*2^362188+1)/189109033Lelio R Paula07/2014
30792*7^129008+9109025Lelio R Paula11/2014
308088*10^109022+7109024Robert Price03/2020
3081(5*10^108960+91)/3108961Robert Price04/2018
30822^361957+76367108960Enzo Doria05/2016
30832^361873-1411108935Yves Minet01/2013
3084(24737*2^361857+1)/35108933Lelio R Paula07/2014
3085115^52842-114108892Norbert Schneider07/2018
308613^97745-24108883Lelio R Paula03/2017
308717^88475+8108864Lelio R Paula04/2017
30882^361567+51108843Lelio R Paula01/2012
30892^361563-109501108842Enzo Doria04/2014
309012^100852+83108838Lelio R Paula03/2017
30912^361497+767108822Lelio R Paula01/2012
30922^361280-112349108757Enzo Doria06/2014
30932^361271-5955108754Lelio R Paula04/2017
309412^100757+19108736Lelio R Paula03/2017
309514^94849-61108710Lelio R Paula05/2017
3096(19^85009-5^85009)/14108705Robert Price07/2013
3097(11*2^361027+1)/40463108677Lelio R Paula03/2014
30982^360973+1299108664Lelio R Paula04/2017
30992^360959-109101108660Enzo Doria04/2014
31006*5^155454+7108659Lelio R Paula11/2014
310110^108656+79108657Lelio R Paula02/2017
310210^108656-50001108656Patrick De Geest03/2017
31032^360918-35108648Lelio R Paula01/2012
3104(11*2^360886-1)/7108638Lelio R Paula03/2014
31053*10^108624-49108625Robert Price07/2018
3106(134*10^108610+7)/3108612Robert Price02/2020
31072^360706-458903108584Enzo Doria04/2015
31082^360641-113185108564Enzo Doria07/2014
31092^360618+75019108557Enzo Doria04/2016
3110(14*10^108545-221)/9108546Robert Price04/2018
3111(44*10^108544-233)/9108545Robert Price01/2019
31123*5^155286+2108541Lelio R Paula11/2014
31137^128422+4108530Lelio R Paula11/2014
31147^128421-80108529Lelio R Paula03/2017
31152^360497+53807108521Yves Minet07/2010
31162^360468-4559108512Yves Minet03/2019
31172^360366+1459108481Lelio R Paula09/2011
31182^360364-1499108481Yves Minet05/2013
311914^94642-23108472Lelio R Paula05/2017
3120(197*10^108446-11)/3108448Robert Price03/2020
31214*10^108412+9108413Robert Price05/2015
3122133^51042-132108406Norbert Schneider02/2019
31232^360093-351103108399Enzo Doria06/2015
31242^360042+723108384Lelio R Paula01/2012
312585^56164-2108364Lelio R Paula10/2013
31262^359937-29323108352Enzo Doria07/2015
31272^359898-19997108341Enzo Doria06/2013
31282*5^154948-7108305Lelio R Paula11/2014
312910^108303+13108304Lelio R Paula02/2017
313010^108303-207959108303Patrick De Geest03/2017
31317*10^108300+69108301Robert Price07/2019
31322^359730+753108290Lelio R Paula12/2011
3133(8*10^108273+13)/3108274Robert Price06/2018
31342^359650-19797108266Enzo Doria06/2013
313591^55259-90^55259108255Robert Price07/2015
31364*10^108238-71108239Robert Price12/2018
31373^226845+68108233Lelio R Paula03/2017
31385^154822-12866108216Enzo Doria05/2014
3139(9*2^359480+1)/5108215Lelio R Paula03/2014
31402^359454-177108207Lelio R Paula12/2011
3141(19*10^108184+191)/3108185Robert Price05/2019
31426^139022-59108181Lelio R Paula02/2017
3143(19*10^108176-43)/3108177Robert Price05/2019
31442^359352-179108176Lelio R Paula12/2011
31452^359338-1858781108172Enzo Doria04/2016
314612^100230-97108167Lelio R Paula03/2017
3147(25*2^359297-1)/137108159Lelio R Paula03/2014
3148(2^359262-509203)/9108148Lelio R Paula12/2013
3149(3^226648-8)/352715633108131Lelio R Paula12/2013
31506^138956-59108129Lelio R Paula02/2017
31512^359184+30285108126Lelio R Paula04/2017
315213^97059+10108119Lelio R Paula03/2017
31532^359137-81108112Lelio R Paula12/2011
3155(15185*2^359105-1)/567108103Lelio R Paula05/2015
31542^359110-11655108103Lelio R Paula04/2017
31568*6^138875+5108067Lelio R Paula11/2014
31572^358987-216919108066Enzo Doria05/2014
315839^67918-67918^39108062Norbert Schneider02/2017
315924^78283-1*78283^24108048Dylan Delgado12/2019
31602^358785-16933108006Enzo Doria05/2013
3161(2^358783+5)/33383108000Lelio R Paula12/2013
31626^138770-77107985Lelio R Paula02/2017
3163(2^358727-1017)/94178479107980Lelio R Paula12/2013
316410^107976+19107977Lelio R Paula02/2017
316510^107976-202103107976Patrick De Geest03/2017
31662^358684+75781107975Enzo Doria04/2016
316799^54094+2107952Lelio R Paula06/2013
3168(2^358583-9)/391107942Lelio R Paula12/2013
31692^358538+55107931Lelio R Paula12/2011
31702^358517-109009107925Enzo Doria03/2014
31713^226159+104107906Lelio R Paula03/2017
31722^358310-11655107863Lelio R Paula03/2017
31732^358275-112987107852Enzo Doria07/2014
31742^358233-20005107839Enzo Doria06/2013
31752^358194+175107828Lelio R Paula12/2011
3176107^53125-106107812Norbert Schneider12/2016
3177(25*10^107804+161)/3107805Robert Price09/2019
31783^225922-2107793Lelio R Paula10/2013
317912^99874-95107783Lelio R Paula03/2017
31802^358030-171107778Lelio R Paula12/2011
318111^103488-4170107772Enzo Doria12/2012
31822^357930-4547107748Yves Minet03/2019
31832^357911-20089107742Enzo Doria06/2013
31842^357885+12857107735Yves Minet07/2010
3185(248587#+9289)/(7*1327*111512899)107733Makoto Morimoto06/2019
31867^127473+40107728Lelio R Paula03/2017
31875*2^357850+9107725Lelio R Paula09/2014
31882^357786-291191107705Enzo Doria06/2015
318918^85798-23107700Lelio R Paula04/2017
3190(14*10^107694-83)/3107695Robert Price12/2018
31912^357688-1854269107675Enzo Doria09/2015
31922^357671-112225107670Enzo Doria06/2014
31932^357618-21005107654Enzo Doria06/2013
31942^357615-17505107653Enzo Doria05/2013
3195(30^72871-1)/29107638Robert Price12/2011
31962^357521+1870217107625Enzo Doria05/2016
31972^357477-1203107612Lelio R Paula03/2017
31985^153894-18107568Lelio R Paula02/2017
31992^357324-69059107566Enzo Doria11/2015
3200467^40296+40296^467107563Norbert Schneider03/2019
32012^357283-869688105107553Lelio R Paula01/2017
32022^357280-16805107552Enzo Doria05/2013
320310^107547+481719107548Patrick De Geest03/2017
320410^107547-47107547Lelio R Paula02/2017
320517^87396-32107537Lelio R Paula04/2017
3206(746*10^107505+1)/9107507Robert Price03/2020
32072^357081+107107493Lelio R Paula12/2011
32082^357058-3911107486Yves Minet04/2017
32093^225274+64107484Lelio R Paula03/2017
321018^85619-95107476Lelio R Paula04/2017
32113^225248-130107471Lelio R Paula03/2017
3212(5*2^356961+1)/143107455Lelio R Paula03/2014
32132^356935-18085107449Enzo Doria05/2013
321410^107409+37107410Lelio R Paula02/2017
321510^107409-329633107409Patrick De Geest03/2017
32162^356787-109027107404Enzo Doria04/2014
3217(2^356767+78557)/5107397Lelio R Paula12/2013
32183*10^107389+77107390Robert Price09/2018
32195^153622-42107378Lelio R Paula02/2017
32202^356699-97305107378Lelio R Paula03/2017
32212^356654+85107364Lelio R Paula11/2011
32222^356641-19921107360Enzo Doria06/2013
32235*10^107355+11107356Robert Price08/2019
32242^356623-465107355Lelio R Paula03/2017
322519^83945-92107345Lelio R Paula02/2017
322610^107334+28149107335Patrick De Geest03/2017
322710^107334-83107334Lelio R Paula02/2017
32282^356518+885107323Lelio R Paula03/2017
3229(3*2^356506-1)/467107317Lelio R Paula03/2014
32302^356442-114713107300Enzo Doria04/2015
32312^356425+72257107295Enzo Doria04/2016
32322^356351-112237107273Enzo Doria06/2014
3234(6^137845-11)/5107264Paul Bourdelais11/2011
32332^356322+74539107264Enzo Doria04/2016
32352^356274+1874479107250Enzo Doria06/2016
323620^82422-93107234Lelio R Paula02/2017
32372^356157-20365107214Enzo Doria06/2013
32382^356129-18949107206Enzo Doria05/2013
32392^356100-109587107197Enzo Doria04/2014
3240(31*2^355970+1)/5107159Lelio R Paula03/2014
32412^355968-64875107158Lelio R Paula01/2017
32422^355952+1870321107153Enzo Doria05/2016
32432^355915-117107142Lelio R Paula11/2011
3244(16*10^107140+77)/3107141Robert Price03/2019
3245(19*2^355838-1)/15107119Lelio R Paula03/2014
32463^224495-8107112Lelio R Paula12/2013
32477^126691-44107067Lelio R Paula03/2017
32484^177830-8243107065Mike Oakes02/2011
32492^355524-21237107024Enzo Doria06/2013
3250(10223*2^355515+1)/4855107022Lelio R Paula07/2014


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: March, 29 2020 17:41 (Time in France)

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