PRP Records

Probable Primes Top 10000

(205869 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*5^154948-7108305Lelio R Paula11/2014
250210^108303+13108304Lelio R Paula02/2017
250310^108303-207959108303Patrick De Geest03/2017
25042^359730+753108290Lelio R Paula12/2011
25052^359650-19797108266Enzo Doria06/2013
250691^55259-90^55259108255Robert Price07/2015
25073^226845+68108233Lelio R Paula03/2017
25085^154822-12866108216Enzo Doria05/2014
2509(9*2^359480+1)/5108215Lelio R Paula03/2014
25102^359454-177108207Lelio R Paula12/2011
25116^139022-59108181Lelio R Paula02/2017
25122^359352-179108176Lelio R Paula12/2011
25132^359338-1858781108172Enzo Doria04/2016
251412^100230-97108167Lelio R Paula03/2017
2515(25*2^359297-1)/137108159Lelio R Paula03/2014
2516(2^359262-509203)/9108148Lelio R Paula12/2013
2517(3^226648-8)/352715633108131Lelio R Paula12/2013
25186^138956-59108129Lelio R Paula02/2017
25192^359184+30285108126Lelio R Paula04/2017
252013^97059+10108119Lelio R Paula03/2017
25212^359137-81108112Lelio R Paula12/2011
2523(15185*2^359105-1)/567108103Lelio R Paula05/2015
25222^359110-11655108103Lelio R Paula04/2017
25248*6^138875+5108067Lelio R Paula11/2014
25252^358987-216919108066Enzo Doria05/2014
252639^67918-67918^39108062Norbert Schneider02/2017
25272^358785-16933108006Enzo Doria05/2013
2528(2^358783+5)/33383108000Lelio R Paula12/2013
25296^138770-77107985Lelio R Paula02/2017
2530(2^358727-1017)/94178479107980Lelio R Paula12/2013
253110^107976+19107977Lelio R Paula02/2017
253210^107976-202103107976Patrick De Geest03/2017
25332^358684+75781107975Enzo Doria04/2016
253499^54094+2107952Lelio R Paula06/2013
2535(2^358583-9)/391107942Lelio R Paula12/2013
25362^358538+55107931Lelio R Paula12/2011
25372^358517-109009107925Enzo Doria03/2014
25383^226159+104107906Lelio R Paula03/2017
25392^358310-11655107863Lelio R Paula03/2017
25402^358275-112987107852Enzo Doria07/2014
25412^358233-20005107839Enzo Doria06/2013
25422^358194+175107828Lelio R Paula12/2011
2543107^53125-106107812Norbert Schneider12/2016
25443^225922-2107793Lelio R Paula10/2013
254512^99874-95107783Lelio R Paula03/2017
25462^358030-171107778Lelio R Paula12/2011
254711^103488-4170107772Enzo Doria12/2012
25482^357911-20089107742Enzo Doria06/2013
25492^357885+12857107735Yves Minet07/2010
25507^127473+40107728Lelio R Paula03/2017
25515*2^357850+9107725Lelio R Paula09/2014
25522^357786-291191107705Enzo Doria06/2015
255318^85798-23107700Lelio R Paula04/2017
25542^357688-1854269107675Enzo Doria09/2015
25552^357671-112225107670Enzo Doria06/2014
25562^357618-21005107654Enzo Doria06/2013
25572^357615-17505107653Enzo Doria05/2013
2558(30^72871-1)/29107638Robert Price12/2011
25592^357521+1870217107625Enzo Doria05/2016
25602^357477-1203107612Lelio R Paula03/2017
25615^153894-18107568Lelio R Paula02/2017
25622^357324-69059107566Enzo Doria11/2015
25632^357283-869688105107553Lelio R Paula01/2017
25642^357280-16805107552Enzo Doria05/2013
256510^107547+481719107548Patrick De Geest03/2017
256610^107547-47107547Lelio R Paula02/2017
256717^87396-32107537Lelio R Paula04/2017
25682^357081+107107493Lelio R Paula12/2011
25692^357058-3911107486Yves Minet04/2017
25703^225274+64107484Lelio R Paula03/2017
257118^85619-95107476Lelio R Paula04/2017
25723^225248-130107471Lelio R Paula03/2017
2573(5*2^356961+1)/143107455Lelio R Paula03/2014
25742^356935-18085107449Enzo Doria05/2013
257510^107409+37107410Lelio R Paula02/2017
257610^107409-329633107409Patrick De Geest03/2017
25772^356787-109027107404Enzo Doria04/2014
2578(2^356767+78557)/5107397Lelio R Paula12/2013
25795^153622-42107378Lelio R Paula02/2017
25802^356699-97305107378Lelio R Paula03/2017
25812^356654+85107364Lelio R Paula11/2011
25822^356641-19921107360Enzo Doria06/2013
25832^356623-465107355Lelio R Paula03/2017
258419^83945-92107345Lelio R Paula02/2017
258510^107334+28149107335Patrick De Geest03/2017
258610^107334-83107334Lelio R Paula02/2017
25872^356518+885107323Lelio R Paula03/2017
2588(3*2^356506-1)/467107317Lelio R Paula03/2014
25892^356442-114713107300Enzo Doria04/2015
25902^356425+72257107295Enzo Doria04/2016
25912^356351-112237107273Enzo Doria06/2014
2592(6^137845-11)/5107264Paul Bourdelais11/2011
25932^356322+74539107264Enzo Doria04/2016
25942^356274+1874479107250Enzo Doria06/2016
259520^82422-93107234Lelio R Paula02/2017
25962^356157-20365107214Enzo Doria06/2013
25972^356129-18949107206Enzo Doria05/2013
25982^356100-109587107197Enzo Doria04/2014
2599(31*2^355970+1)/5107159Lelio R Paula03/2014
26002^355968-64875107158Lelio R Paula01/2017
26012^355952+1870321107153Enzo Doria05/2016
26022^355915-117107142Lelio R Paula11/2011
2603(19*2^355838-1)/15107119Lelio R Paula03/2014
26043^224495-8107112Lelio R Paula12/2013
26057^126691-44107067Lelio R Paula03/2017
26064^177830-8243107065Mike Oakes02/2011
26072^355524-21237107024Enzo Doria06/2013
2608(10223*2^355515+1)/4855107022Lelio R Paula07/2014
26092^355494-19901107015Enzo Doria06/2013
26102^355454-869688105107003Lelio R Paula01/2017
26112^355366+54615106976Lelio R Paula01/2017
2612(31*2^355346-1)/1563106969Lelio R Paula03/2014
26132^355275-19861106949Enzo Doria06/2013
2614(9179*2^355234-1)/1915106937Lelio R Paula05/2015
26154*10^106892-3106893Robert Price10/2015
2616(66^58741+1)/67106881Paul Bourdelais08/2017
26172^354946-3106850M. Frind & P. Underwood08/2002
26182^354873-18693106828Enzo Doria05/2013
26192^354828+4257106814Lelio R Paula01/2017
2620(21^80761+1)/22106783Paul Bourdelais03/2010
26212^354640-354640+1106758Robert Price10/2014
26222^354585+95106741Lelio R Paula10/2011
26232^354553+189106732Lelio R Paula10/2011
26242^354514-109031106720Enzo Doria04/2014
26252^354509-109465106718Enzo Doria04/2014
2626(15*2^354478-1)/26983106706Lelio R Paula03/2014
262715^90710+28106684Lelio R Paula04/2017
26287^126237+34106683Lelio R Paula03/2017
26292^354385-115315106681Enzo Doria06/2015
26302^354327-19305106664Enzo Doria06/2013
2631(35*10^106649+1)/9106650Serge Batalov11/2010
263210^106636+97106637Lelio R Paula02/2017
263310^106636-22923106636Patrick De Geest03/2017
26342^354220-57106631Lelio R Paula10/2011
26352^354157-17041106612Enzo Doria05/2013
263612^98778+73106600Lelio R Paula02/2017
26372^354064+1870651106584Enzo Doria05/2016
26382^353992-57106563Lelio R Paula10/2011
2639(7*10^106516+113)/3106517Robert Price02/2018
26402^353832-1853849106515Enzo Doria09/2015
2641(7^126037-1)/6106513Paul Bourdelais09/2008
26422^353794-18453106503Enzo Doria05/2013
26432^353728+7695106483Lelio R Paula01/2017
26442^353672-303106466Yves Minet02/2012
26456^136811+101106460Lelio R Paula02/2017
26462^353641+1871981106457Enzo Doria05/2016
26472^353553+54615106431Lelio R Paula01/2017
26482^353544-18897106428Enzo Doria05/2013
26496^136729-133106396Lelio R Paula02/2017
26502^353418+1605106390Lelio R Paula01/2017
26512^353387+65106381Lelio R Paula10/2011
26522^353372+74311106376Enzo Doria04/2016
26532^353344-3693106368Yves Minet03/2017
26552^353277-20089106347Enzo Doria06/2013
26542^353275+72173106347Enzo Doria04/2016
26562^353268-17705106345Enzo Doria05/2013
26572^353267-19857106344Enzo Doria06/2013
2658222748^3+3^222748106278Anatoly F. Selevich12/2010
2659(9179*2^353019-1)/9106273Lelio R Paula05/2015
26602^353025+72257106272Enzo Doria04/2016
26612^352932-20345106244Enzo Doria06/2013
2662(2^353011-3)/745325861246794515484535106244Lelio R Paula12/2013
26632^352883-187106229Lelio R Paula10/2011
266420^81649-19^81649106228Jean-Louis Charton03/2011
26652^352814-131106208Lelio R Paula10/2011
26662^352752+73951106189Enzo Doria04/2016
26676^136434+5106167Lelio R Paula11/2014
26687*5^151872-8106155Lelio R Paula11/2014
2669105^52520-2106153Lelio R Paula10/2017
26702^352601-1604809106144Enzo Doria05/2015
267112^98353-43106141Lelio R Paula02/2017
26722^352585-18901106139Enzo Doria05/2013
2673(2^352554-3)/193106128Lelio R Paula12/2013
26742^352540+15015106126Lelio R Paula01/2017
26752^352524-3149106121Yves Minet10/2014
26762^352486-1858781106109Enzo Doria04/2016
26772^352444+12705106097Lelio R Paula01/2017
26782^352228-18953106032Enzo Doria05/2013
26792^352107+1872533105995Enzo Doria05/2016
26802^352066-2591105983Yves Minet07/2014
26812^352030+715105972Lelio R Paula10/2011
26829*6^136176-5105967Lelio R Paula11/2014
268317099*2^351991+58329105965Paul Vanderveen12/2017
2684155^48377+2105962Lelio R Paula08/2013
26852^351865+1869707105922Enzo Doria05/2016
26862^351831+23105912Lelio R Paula10/2011
26879*2^351784-5105899Lelio R Paula09/2014
26882^351671-112387105864Enzo Doria06/2014
26892^351669-109501105863Enzo Doria04/2014
26902^351644+74731105856Enzo Doria04/2016
269113^95025-42105853Lelio R Paula12/2016
26922^351599+15015105842Lelio R Paula01/2017
269319^82763+90105834Lelio R Paula01/2017
2694(9179*2^351540-1)/221105826Lelio R Paula05/2015
269520^81329-51105812Lelio R Paula01/2017
2696(5*10^105811+211)/9105811Robert Price02/2018
26972^351483+28425105807Lelio R Paula01/2017
269815^89960+86105802Lelio R Paula02/2017
26992^351460-17289105801Enzo Doria05/2013
270019^82735+22105798Lelio R Paula01/2017
27012^351435-109077105793Enzo Doria04/2014
27022^351393+1089105780Lelio R Paula01/2017
27032^351364+72631105772Enzo Doria04/2016
27042^351305+1872467105754Enzo Doria05/2016
27053^221649+16105754Lelio R Paula11/2016
27068*3^221637-5105749Lelio R Paula09/2014
27072^351279-2780449105746Enzo Doria03/2016
270815^89903-26105735Lelio R Paula02/2017
27092^351213-73105726Lelio R Paula10/2011
27102^351192-4589105720Yves Minet07/2011
271120^81250-33105709Lelio R Paula12/2016
27122^351076-113159105685Enzo Doria07/2014
271393^53688-2105684Lelio R Paula09/2013
27142^351060-4559105680Yves Minet07/2011
271511^101473-750105674Enzo Doria11/2012
27163*5^151181-8105672Lelio R Paula11/2014
271715^89831-34105650Lelio R Paula02/2017
271911^101448-360105648Enzo Doria08/2012
27183*7^125011+4105648Lelio R Paula11/2014
27202^350943-113269105645Enzo Doria07/2014
27212^350868-19725105622Enzo Doria06/2013
27222^350858-59291105619Enzo Doria10/2015
27232^350851+135105617Lelio R Paula10/2011
27242^350841-741105614Lelio R Paula01/2017
27258*10^105571+3105572Robert Price08/2015
27262^350674-78557105564Jorge Menendez03/2018
27272*5^151026-3105563Lelio R Paula11/2014
2728(2^350702+5)/34264674063105562Lelio R Paula12/2013
27296^135647-5^135647105554Jean-Louis Charton02/2009
27303^221211+236105545Lelio R Paula11/2016
273110^105515+33105516Lelio R Paula11/2016
273210^105515-41033105515Patrick De Geest12/2016
2733(29*2^350473-1)/267927105499Lelio R Paula03/2014
273417^85732-72105489Lelio R Paula01/2017
27352^350307-110329105453Enzo Doria05/2014
27362^350253-20365105437Enzo Doria06/2013
2737(3*29^72089-1075)/4105423Curtis Bright05/2015
27382^350139-109009105403Enzo Doria04/2014
27393*5^150763+4105380Lelio R Paula11/2014
274012^97643+91105375Lelio R Paula02/2017
27416*5^150744-7105367Lelio R Paula11/2014
27422^349996-112169105360Enzo Doria06/2014
274311^101142-1080105329Enzo Doria12/2012
2744(68*10^105320-41)/9105321Robert Price10/2013
27453^220712-9934105307Enzo Doria05/2014
27467*10^105296+9105297Robert Price09/2015
27472^349739+1873373105282Enzo Doria06/2016
27487^124574+24105278Lelio R Paula11/2016
27492^349708-20957105273Enzo Doria06/2013
27502^349649-20469105255Enzo Doria06/2013


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: April, 22 2018 09:48 (Time in France)

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