PRP Records

Probable Primes Top 10000

(253466 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 ?
475110^90964-5210390964Patrick De Geest07/2019
475210^90963+19188990964Patrick De Geest07/2019
475310^90963-365990963Patrick De Geest01/2019
475410^90962+765790963Patrick De Geest01/2019
475510^90962-21563390962Patrick De Geest07/2019
475610^90961+6747190962Patrick De Geest07/2019
475710^90961-21104390961Patrick De Geest07/2019
475810^90960+107211790961Patrick De Geest07/2019
475910^90959+879190960Patrick De Geest01/2019
476010^90960-61065990960Patrick De Geest07/2019
476110^90959-27521390959Patrick De Geest07/2019
476210^90948+986790949Patrick De Geest01/2019
476310^90948-10923990948Patrick De Geest07/2019
47642^302113+7410590946Enzo Doria04/2016
47652^302102-655590942Lelio R Paula02/2016
476610^90930+9522390931Patrick De Geest07/2019
476710^90930-362390930Patrick De Geest01/2019
4769156*(10^(4*22731)-1)/101-190925Robert Price05/2014
47683^190568+3890925Lelio R Paula04/2016
477010^90917+17986390918Patrick De Geest07/2019
477110^90917-669390917Patrick De Geest01/2019
47722^302009-1644990914Enzo Doria04/2013
477310^90908+318190909Patrick De Geest01/2019
477410^90908-13951190908Patrick De Geest07/2019
477510^90904+10694790905Patrick De Geest07/2019
477610^90904-516990904Patrick De Geest01/2019
477710^90903+12096390904Patrick De Geest07/2019
477810^90902+261390903Patrick De Geest01/2019
477910^90903-19073790903Patrick De Geest07/2019
478010^90902-95232990902Patrick De Geest07/2019
4781(17*2^301951-1)/16590896Lelio R Paula02/2014
47823^190497+7490891Lelio R Paula04/2016
4783(24737*2^301896+1)/39990882Lelio R Paula06/2014
478410^90880+570790881Patrick De Geest01/2019
478510^90880-15299390880Patrick De Geest07/2019
478618^72397+8990878Lelio R Paula06/2016
4787134^42719-13390868Norbert Schneider03/2019
47886^116769-4790864Lelio R Paula05/2016
478910^90858+23343390859Patrick De Geest07/2019
479010^90858-830190858Patrick De Geest01/2019
479110^90849+4014190850Patrick De Geest07/2019
479210^90849-472190849Patrick De Geest01/2019
47932^301712-46590825Lelio R Paula02/2016
47942^301693-6990819Lelio R Paula11/2012
47952^301683-301683^290816Henri Lifchitz05/2005
479610^90807+727990808Patrick De Geest01/2019
479710^90807-16226390807Patrick De Geest07/2019
479810^90800-645390800Patrick De Geest11/2018
479911^87187-171090796Enzo Doria12/2012
48005*10^90793+2190794Robert Price01/2017
4801(22*10^90792-13)/990793Robert Price03/2015
48022^301591-161590788Lelio R Paula02/2016
4803(52^52901+1)/5390777Paul Bourdelais08/2017
48042^301546-10903790775Enzo Doria04/2014
480510^90772+402990773Patrick De Geest11/2018
480610^90772-3662790772Patrick De Geest07/2019
480710^90771+6773790772Patrick De Geest07/2019
480810^90771-44100390771Patrick De Geest07/2019
480910^90770+2894190771Patrick De Geest07/2019
481010^90770-43190770Patrick De Geest11/2018
481114^79195-390768Lelio R Paula06/2016
481210^90766+87790767Patrick De Geest11/2018
48152^301517-186169390766Enzo Doria11/2015
481310^90766-10924190766Patrick De Geest07/2019
481410^90765+48536190766Patrick De Geest07/2019
481610^90765-479790765Patrick De Geest11/2018
481710^90757+757390758Patrick De Geest11/2018
481810^90757-55497990757Patrick De Geest07/2019
481910^90756+43810990757Patrick De Geest07/2019
482010^90756-872790756Patrick De Geest11/2018
482110^90749+82390750Patrick De Geest11/2018
48232^301460-17390749Lelio R Paula11/2012
482210^90748+421390749Patrick De Geest11/2018
482410^90749-13041390749Patrick De Geest07/2019
482510^90748-7541190748Patrick De Geest07/2019
482610^90747+43847190748Patrick De Geest07/2019
482710^90747-927990747Patrick De Geest11/2018
4828(85*10^90745-103)/990746Robert Price10/2017
482910^90726+407790727Patrick De Geest11/2018
483010^90726-50495190726Patrick De Geest07/2019
483110^90721+18190722Patrick De Geest11/2018
483210^90721-17714990721Patrick De Geest07/2019
48332^301312-8990704Lelio R Paula11/2012
483410^90696+634990697Patrick De Geest11/2018
48352^301285-12990696Lelio R Paula11/2012
483610^90696-63504990696Patrick De Geest07/2019
48372^301282-10999190695Enzo Doria04/2014
483810^90690+887790691Patrick De Geest11/2018
483910^90690-22743390690Patrick De Geest07/2019
484010^90683+6141190684Patrick De Geest07/2019
484110^90683-257790683Patrick De Geest11/2018
48422^301228-185426990679Enzo Doria09/2015
4843(151*10^90669-1)/390671Robert Price04/2017
4845(32*10^90669+13)/990670Robert Price04/2015
484410^90669+979390670Patrick De Geest11/2018
484610^90669-22393190669Patrick De Geest07/2019
484710^90665+1098990666Patrick De Geest07/2019
484810^90665-308790665Patrick De Geest11/2018
484910^90662+8963790663Patrick De Geest07/2019
485010^90662-951990662Patrick De Geest11/2018
485110^90661+237390662Patrick De Geest11/2018
485210^90661-19478190661Patrick De Geest07/2019
48533*5^129698+890656Lelio R Paula10/2014
4854F(433781)90655Henri Lifchitz09/2003
485519^70891+8290653Lelio R Paula06/2016
4856(29*2^301124-1)/1390648Lelio R Paula02/2014
485710^90636+6415990637Patrick De Geest07/2019
485810^90636-310190636Patrick De Geest11/2018
48597*3^189953-890632Lelio R Paula08/2014
486010^90626+33928990627Patrick De Geest07/2019
486110^90626-113190626Patrick De Geest11/2018
486211^87022-180090625Enzo Doria12/2012
486310^90623+86190624Patrick De Geest11/2018
486410^90623-30584190623Patrick De Geest07/2019
4865(2^301042+47)/1203696990616Lelio R Paula06/2013
48662^301004-278693990612Enzo Doria03/2016
486710^90611+16997790612Patrick De Geest07/2019
486910^90611-973790611Patrick De Geest11/2018
486810^90610+3674790611Patrick De Geest07/2019
487010^90609+682390610Patrick De Geest11/2018
487110^90610-2657390610Patrick De Geest07/2019
487210^90609-22817390609Patrick De Geest07/2019
48732^300980-2790605Lelio R Paula11/2012
48742*10^90597-790598Dmitry Domanov11/2010
4875197^39485+290597Lelio R Paula06/2013
48767^107198+4890593Lelio R Paula04/2016
4877(86*10^90588+121)/990589Robert Price03/2017
48782^300923+5390587Lelio R Paula11/2012
48792^300874+790573Lelio R Paula10/2012
488010^90567+948990568Patrick De Geest11/2018
488110^90567-23135390567Patrick De Geest07/2019
48825^129568-5690565Lelio R Paula04/2016
48832^300847-11283190564Enzo Doria06/2014
488410^90562+79019790563Patrick De Geest07/2019
488510^90562-298190562Patrick De Geest11/2018
488610^90549+381190550Patrick De Geest11/2018
488710^90549-63030390549Patrick De Geest07/2019
48882^300790-454190547Yves Minet03/2019
488910^90532+816990533Patrick De Geest11/2018
489010^90531+983190532Patrick De Geest11/2018
489110^90532-15488990532Patrick De Geest07/2019
489210^90531-106058990531Patrick De Geest07/2019
48932^300718+25525590526Lelio R Paula02/2016
489410^90516+21591790517Patrick De Geest07/2019
489510^90516-678390516Patrick De Geest11/2018
489610^90511+3017790512Patrick De Geest07/2019
489710^90511-697790511Patrick De Geest11/2018
48982^300637+9590501Lelio R Paula11/2012
49007^107087-2490500Lelio R Paula04/2016
489910^90499+19154790500Patrick De Geest07/2019
490110^90499-582390499Patrick De Geest11/2018
4902(10^90499+3^90499)/1390498Robert Price01/2013
490313^81241+9090498Lelio R Paula06/2016
490410^90480+513190481Patrick De Geest11/2018
490510^90480-8572190480Patrick De Geest07/2019
49066^116273-8590478Lelio R Paula05/2016
490710^90473+313990474Patrick De Geest11/2018
490810^90473-15059990473Patrick De Geest07/2019
490910^90470+231990471Patrick De Geest11/2018
491010^90470-7163790470Patrick De Geest07/2019
49116^116256-1757390465Enzo Doria02/2013
49122^300502+5461590461Lelio R Paula02/2016
4913(13*2^300487+1)/4590456Lelio R Paula09/2013
491410^90453+14184390454Patrick De Geest07/2019
491510^90453-396990453Patrick De Geest11/2018
491610^90440+135990441Patrick De Geest11/2018
491710^90440-1882190440Patrick De Geest07/2019
4918(3^189545-8)/590436Lelio R Paula01/2013
4919(7*2^300406-1)/390432Lelio R Paula02/2014
492010^90430+333990431Patrick De Geest11/2018
492110^90430-6347790430Patrick De Geest07/2019
492210^90414+22959390415Patrick De Geest07/2019
492310^90414-154790414Patrick De Geest11/2018
492410^90404+4704190405Patrick De Geest07/2019
492510^90404-642990404Patrick De Geest11/2018
492610^90401+207790402Patrick De Geest11/2018
492710^90401-36863790401Patrick De Geest07/2019
49284*5^129332+390400Lelio R Paula10/2014
492910^90397+1978390398Patrick De Geest07/2019
493010^90397-32390397Patrick De Geest11/2018
49312^300249-1624590384Enzo Doria04/2013
4932(7*10^90371-313)/990371Robert Price11/2016
493310^90363+5867790364Patrick De Geest07/2019
493410^90363-355790363Patrick De Geest11/2018
493510^90358+10464190359Patrick De Geest07/2019
49382*6^116118+790358Lelio R Paula10/2014
493710^90358-497990358Patrick De Geest11/2018
493610^90357+11283790358Patrick De Geest07/2019
493910^90357-18959390357Patrick De Geest07/2019
494010^90356+5311390357Patrick De Geest07/2019
494110^90356-719790356Patrick De Geest11/2018
494210^90353+60321190354Patrick De Geest07/2019
494310^90353-108990353Patrick De Geest11/2018
4944(24737*2^300101+1)/2590343Lelio R Paula06/2014
49454*10^90334-2190335Robert Price04/2016
494610^90322+13769190323Patrick De Geest07/2019
494710^90322-955190322Patrick De Geest11/2018
494810^90316+999190317Patrick De Geest11/2018
494910^90316-4562790316Patrick De Geest07/2019
495010^90315+3288990316Patrick De Geest07/2019
49522^300019-11033590315Enzo Doria05/2014
495110^90315-856190315Patrick De Geest11/2018
4953FAB2(300001,5032)90310Robert Price05/2019
4954FAB2(300001,29405)90310Robert Price05/2019
49552^299949-100590294Lelio R Paula11/2013
495610^90279+6245790280Patrick De Geest07/2019
495710^90279-155190279Patrick De Geest09/2018
49582^299868-10961390270Enzo Doria04/2014
495910^90259+35929990260Patrick De Geest07/2019
496010^90259-944390259Patrick De Geest09/2018
496110^90252+10287390253Patrick De Geest07/2019
496210^90252-810390252Patrick De Geest09/2018
49635*2^299799-390250Lelio R Paula08/2014
496413^81008-290239Lelio R Paula09/2013
496564^49957-63^4995790232Robert Price07/2013
496610^90227+5628190228Patrick De Geest06/2016
49692^299725+31590227Lelio R Paula11/2013
496710^90227-100000000190227Robert Price05/2016
496810^90227-6876390227Patrick De Geest06/2016
49705^129082+4890225Lelio R Paula03/2016
49712^299699+19590219Lelio R Paula10/2012
4972(55*10^90211-1)/990212Ray Chandler02/2012
497310^90209+897190210Patrick De Geest09/2018
497410^90209-72479790209Patrick De Geest07/2019
497510^90208+18953190209Patrick De Geest07/2019
497610^90208-224790208Patrick De Geest09/2018
4977116^43693-11590203Norbert Schneider08/2018
497810^90202+355390203Patrick De Geest09/2018
49803^189053+28090202Lelio R Paula04/2016
497910^90202-6779390202Patrick De Geest07/2019
49812^299639-18790201Lelio R Paula10/2012
498210^90199+25403190200Patrick De Geest07/2019
498310^90199-289190199Patrick De Geest09/2018
49842^299631+18390198Lelio R Paula10/2012
498510^90196+18753990197Patrick De Geest07/2019
498610^90196-968390196Patrick De Geest09/2018
498710^90193+10497390194Patrick De Geest07/2019
498810^90193-980990193Patrick De Geest09/2018
4989(21*2^299611-1)/2990192Lelio R Paula02/2014
49902^299567+11390179Lelio R Paula10/2012
49912^299550+18990174Lelio R Paula10/2012
499210^90170+37606390171Patrick De Geest07/2019
499310^90170-674990170Patrick De Geest09/2018
4994(2^299535+3)/2990168Lelio R Paula01/2013
499510^90160+27194790161Patrick De Geest07/2019
499610^90160-561390160Patrick De Geest09/2018
4997(97*10^90155-1)/390157Serge Batalov12/2014
49993^188938+868090147Lelio R Paula04/2016
499810^90146+16020990147Patrick De Geest07/2019
500010^90146-202790146Patrick De Geest09/2018


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: August, 20 2019 14:10 (Time in France)

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