PRP Records

Probable Primes Top 10000

(291910 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 ?
95012^303698-184723191423Enzo Doria07/2015
9502(38^28933-1)^2-291416Norbert Schneider06/2016
950325660^3643+3643^2566091388Hans Havermann08/2020
95042^303554+7729991379Enzo Doria05/2016
95052^303542+1270591376Lelio R Paula02/2016
950631^61269-291375Lelio R Paula09/2013
9507(2^303525+2774)/291370Stefano Morozzi01/2021
95082^303516-6487591368Lelio R Paula02/2016
9509(2^303497+1266)/291362Stefano Morozzi09/2020
9510(2^303497+3710)/291362Stefano Morozzi09/2020
9511(31*10^91352+257)/991353Robert Price12/2021
951221856^15121+15121^2185691349Hans Havermann09/2020
9513(24737*2^303428+1)/391345Lelio R Paula06/2014
9514(21181*2^303357+1)/3236191320Lelio R Paula06/2014
951523081^9046+9046^2308191319Hans Havermann09/2020
95162^303344-278696991316Enzo Doria03/2016
95176^117346+6591313Lelio R Paula05/2016
95182^303321+85591309Lelio R Paula02/2016
9519(2^303315+3746)/291307Stefano Morozzi01/2021
952012^84606+4791306Lelio R Paula06/2016
95212^303288+187431191299Enzo Doria06/2016
9522197^39788-291293Lelio R Paula10/2017
952311^87663-171091292Enzo Doria12/2012
9524(4*10^91284-61)/391285Robert Price12/2021
95262^303224+253391280Henri Lifchitz05/2005
9525(2^303226+1830)/291280Stefano Morozzi02/2021
95276^117302+14391279Lelio R Paula05/2016
95283^191306-11288091277Enzo Doria07/2014
9529(10052^22807-1)/1005191276Serge Batalov08/2020
95302^303207+1291591275Lelio R Paula02/2016
95312^303191-11125991270Enzo Doria05/2014
953281539!4+3291267Robert Price09/2019
9533(2^303116+3570)/291247Stefano Morozzi09/2020
953410^91230+9^(91230+1)91231Robert Price08/2016
953510^91230+792191231Patrick De Geest11/2016
953610^91230-91114191230Patrick De Geest11/2016
953710^91229+34879391230Patrick De Geest07/2019
953810^91229-247191229Patrick De Geest01/2019
95402996^26241+26241^299691228Norbert Schneider01/2020
95392^303249-49495391228Harrison Mesh06/2022
954210^91225+527191226Patrick De Geest01/2019
95412816^26445+26445^281691226Norbert Schneider02/2020
95446^117232-1742391225Enzo Doria02/2013
954310^91225-14721991225Patrick De Geest07/2019
95457*10^91215+391216Erik Branger11/2009
954610^91215+23061191216Patrick De Geest07/2019
954710^91215-453991215Patrick De Geest01/2019
9548(2^303007+606)/291214Stefano Morozzi09/2020
95499*10^91212-4791213Robert Price11/2021
9550(2^302998+3102)/291212Stefano Morozzi09/2020
955110^91210+242191211Patrick De Geest01/2019
955210^91210-173791210Patrick De Geest01/2019
955397*10^91205-391207Robert Price01/2017
95542^302979-16118191206Enzo Doria04/2013
9555(166*10^91199-7)/391201Robert Price11/2020
95562^302949+8191197Henri Lifchitz02/2007
955710^91194+20036191195Patrick De Geest07/2019
95594*6^117192-591194Lelio R Paula10/2014
955810^91194-866391194Patrick De Geest01/2019
95602^302918+9991188Lelio R Paula11/2012
956110^91186+26811191187Patrick De Geest07/2019
956210^91186-776391186Patrick De Geest01/2019
956310^91181+55047191182Patrick De Geest07/2019
9564(26*10^91181-83)/391182Robert Price12/2021
956510^91181-136791181Patrick De Geest01/2019
956610^91178+7188391179Patrick De Geest07/2019
956710^91178-471991178Patrick De Geest01/2019
956824686^4935+4935^2468691173Hans Havermann08/2020
956910^91165+304391166Patrick De Geest01/2019
957010^91165-39941391165Patrick De Geest07/2019
9571(19*10^91167+107)/9/11/11/15191164Alfred Reich11/2022
957210^91156+386191157Patrick De Geest01/2019
957310^91156-23149791156Patrick De Geest07/2019
95742^302797+186958791151Enzo Doria05/2016
9575265^37614+37614^26591148Norbert Schneider01/2015
95767^107852+8291146Lelio R Paula04/2016
9577(38*10^91144-11)/991145Robert Price05/2015
9578(55*10^91142+377)/991143Robert Price10/2017
957910^91128+996191129Patrick De Geest01/2019
9581249^38030+38030^24991128Norbert Schneider01/2015
958010^91128-18915391128Patrick De Geest07/2019
9582(2^302718+2814)/291127Stefano Morozzi02/2021
95836^117094-21104991117Mike Oakes05/2011
958421353^18472+18472^2135391103Hans Havermann05/2020
95862^302602-186718191093Enzo Doria03/2016
958510^91092+5612791093Patrick De Geest07/2019
958710^91092-910791092Patrick De Geest01/2019
9588(1017*2^302592-1)/5391091Lelio R Paula04/2015
958915^77445-1691083Lelio R Paula07/2016
959021656^16053+16053^2165691076Hans Havermann05/2020
95912^302505+8191064Henri Lifchitz02/2007
95922^302496-11234991061Enzo Doria06/2014
9593(2^302475+1790)/291054Stefano Morozzi01/2021
959417^73999-7291052Lelio R Paula07/2016
959510^91047+933191048Patrick De Geest01/2019
959610^91047-67116991047Patrick De Geest07/2019
959710^91044+207791045Patrick De Geest01/2019
959810^91044-13635991044Patrick De Geest07/2019
959910^91041+934991042Patrick De Geest01/2019
960010^91041-782391041Patrick De Geest01/2019
960110^91040+407791041Patrick De Geest01/2019
960210^91040-11942191040Patrick De Geest07/2019
960310^91037+276991038Patrick De Geest01/2019
960410^91037-2264991037Patrick De Geest07/2019
9605(16*10^91032+41)/391033Robert Price10/2017
960610^91023+5803991024Patrick De Geest07/2019
960710^91023-647191023Patrick De Geest01/2019
960810^91018+787391019Patrick De Geest01/2019
960910^91018-33317791018Patrick De Geest07/2019
961010^91017+6876791018Patrick De Geest07/2019
961110^91017-42832791017Patrick De Geest07/2019
961210^91016+7311191017Patrick De Geest07/2019
961310^91016-797391016Patrick De Geest01/2019
96141949^27666+27666^194991016Norbert Schneider04/2020
96152^302332+57729457591012Lelio R Paula08/2016
961610^91004+907391005Patrick De Geest01/2019
961710^91004-49151991004Patrick De Geest07/2019
961810^91003+7426991004Patrick De Geest07/2019
961910^91003-390391003Patrick De Geest01/2019
96202^302274+7420990994Enzo Doria04/2016
962110^90991+8114790992Patrick De Geest07/2019
962210^90991-627990991Patrick De Geest01/2019
962310^90983+139390984Patrick De Geest01/2019
962411*10^90982+990984Robert Price08/2020
962510^90983-56238390983Patrick De Geest07/2019
9626(311^36497-1)/31090976Eric Chen09/2017
9627(2^302210+1014)/290974Stefano Morozzi09/2020
9628(3^190668+2)/8990970Lelio R Paula04/2013
96292^302188+9019590968Lelio R Paula02/2016
9630(53*10^90965-71)/990966Robert Price09/2015
963110^90965+57398790966Patrick De Geest07/2019
963210^90965-683390965Patrick De Geest01/2019
963310^90964+4878990965Patrick De Geest07/2019
963410^90964-5210390964Patrick De Geest07/2019
963510^90963+19188990964Patrick De Geest07/2019
963610^90963-365990963Patrick De Geest01/2019
963710^90962+765790963Patrick De Geest01/2019
963810^90962-21563390962Patrick De Geest07/2019
963910^90961+6747190962Patrick De Geest07/2019
964010^90961-21104390961Patrick De Geest07/2019
964110^90960+107211790961Patrick De Geest07/2019
964210^90959+879190960Patrick De Geest01/2019
964310^90960-61065990960Patrick De Geest07/2019
964410^90959-27521390959Patrick De Geest07/2019
9645(2^302129+3110)/290950Stefano Morozzi09/2020
964710^90948+986790949Patrick De Geest01/2019
964621665^15774+15774^2166590949Hans Havermann04/2020
964810^90948-10923990948Patrick De Geest07/2019
96492^302113+7410590946Enzo Doria04/2016
96502^302102-655590942Lelio R Paula02/2016
965110^90930+9522390931Patrick De Geest07/2019
965210^90930-362390930Patrick De Geest01/2019
9653156*(10^(4*22731)-1)/101-190925Robert Price05/2014
96543^190568+3890925Lelio R Paula04/2016
965510^90917+17986390918Patrick De Geest07/2019
965610^90917-669390917Patrick De Geest01/2019
96572^302009-1644990914Enzo Doria04/2013
965810^90908+318190909Patrick De Geest01/2019
965910^90908-13951190908Patrick De Geest07/2019
966010^90904+10694790905Patrick De Geest07/2019
966110^90904-516990904Patrick De Geest01/2019
966210^90903+12096390904Patrick De Geest07/2019
966310^90902+261390903Patrick De Geest01/2019
966410^90903-19073790903Patrick De Geest07/2019
966525174^4083+4083^2517490903Hans Havermann08/2020
966610^90902-95232990902Patrick De Geest07/2019
9667(17*2^301951-1)/16590896Lelio R Paula02/2014
96683^190497+7490891Lelio R Paula04/2016
9669(24737*2^301896+1)/39990882Lelio R Paula06/2014
967010^90880+570790881Patrick De Geest01/2019
967110^90880-15299390880Patrick De Geest07/2019
967218^72397+8990878Lelio R Paula06/2016
9673(2^301876+762)/290874Stefano Morozzi09/2020
9674134^42719-13390868Norbert Schneider03/2019
96756^116769-4790864Lelio R Paula05/2016
967610^90858+23343390859Patrick De Geest07/2019
967710^90858-830190858Patrick De Geest01/2019
967824298^5483+5483^2429890851Hans Havermann08/2020
967910^90849+4014190850Patrick De Geest07/2019
968010^90849-472190849Patrick De Geest01/2019
96812^301712-46590825Lelio R Paula02/2016
96822^301693-6990819Lelio R Paula11/2012
96832^301683-301683^290816Henri Lifchitz05/2005
968410^90807+727990808Patrick De Geest01/2019
968510^90807-16226390807Patrick De Geest07/2019
96866*10^90803+7990804Robert Price09/2020
968710^90800-645390800Patrick De Geest11/2018
968811^87187-171090796Enzo Doria12/2012
96895*10^90793+2190794Robert Price01/2017
9690(22*10^90792-13)/990793Robert Price03/2015
96912^301591-161590788Lelio R Paula02/2016
9692(52^52901+1)/5390777Paul Bourdelais08/2017
96932^301546-10903790775Enzo Doria04/2014
969410^90772+402990773Patrick De Geest11/2018
969510^90772-3662790772Patrick De Geest07/2019
969610^90771+6773790772Patrick De Geest07/2019
969710^90771-44100390771Patrick De Geest07/2019
969810^90770+2894190771Patrick De Geest07/2019
969910^90770-43190770Patrick De Geest11/2018
970014^79195-390768Lelio R Paula06/2016
970110^90766+87790767Patrick De Geest11/2018
97022^301517-186169390766Enzo Doria11/2015
970310^90766-10924190766Patrick De Geest07/2019
970410^90765+48536190766Patrick De Geest07/2019
970510^90765-479790765Patrick De Geest11/2018
970610^90757+757390758Patrick De Geest11/2018
970710^90757-55497990757Patrick De Geest07/2019
970810^90756+43810990757Patrick De Geest07/2019
970910^90756-872790756Patrick De Geest11/2018
971010^90749+82390750Patrick De Geest11/2018
97132^301460-17390749Lelio R Paula11/2012
971110^90748+421390749Patrick De Geest11/2018
971210^90749-13041390749Patrick De Geest07/2019
971410^90748-7541190748Patrick De Geest07/2019
971510^90747+43847190748Patrick De Geest07/2019
971610^90747-927990747Patrick De Geest11/2018
9717(85*10^90745-103)/990746Robert Price10/2017
9718(2^301439+1206)/290742Stefano Morozzi09/2020
971910^90726+407790727Patrick De Geest11/2018
972010^90726-50495190726Patrick De Geest07/2019
972210^90721+18190722Patrick De Geest11/2018
9721(2^301372+2722)/290722Stefano Morozzi09/2020
972310^90721-17714990721Patrick De Geest07/2019
9724(2^301317+1146)/290706Stefano Morozzi09/2020
97252^301312-8990704Lelio R Paula11/2012
972610^90696+634990697Patrick De Geest11/2018
97272^301285-12990696Lelio R Paula11/2012
972810^90696-63504990696Patrick De Geest07/2019
97292^301282-10999190695Enzo Doria04/2014
973010^90690+887790691Patrick De Geest11/2018
973110^90690-22743390690Patrick De Geest07/2019
973210^90683+6141190684Patrick De Geest07/2019
9733(2^301244+1738)/290684Stefano Morozzi09/2020
973410^90683-257790683Patrick De Geest11/2018
97352^301228-185426990679Enzo Doria09/2015
973610^90674+13845390675Patrick De Geest10/2022
973710^90674-500000190674Robert Price12/2021
973810^90674-5945190674Patrick De Geest10/2022
9740(151*10^90669-1)/390671Robert Price04/2017
9739(2^301201+2046)/290671Stefano Morozzi09/2020
9742(32*10^90669+13)/990670Robert Price04/2015
974110^90669+979390670Patrick De Geest11/2018
974310^90669-22393190669Patrick De Geest07/2019
9744(2^301191+2510)/290668Stefano Morozzi09/2020
97455*10^90666-6390667Robert Price04/2021
974610^90665+1098990666Patrick De Geest07/2019
974710^90665-308790665Patrick De Geest11/2018
97482^301177-22771390664Harrison Mesh06/2022
974910^90662+8963790663Patrick De Geest07/2019
975010^90662-951990662Patrick De Geest11/2018


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: February, 02 2023 13:22 (Time in France)

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