PRP Records

Probable Primes Top 10000

(253476 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 ?
17517*10^142189+87142190Robert Price07/2019
17522^472258+7142164Lelio R Paula08/2015
1753(23*10^142105+91)/3142106Robert Price08/2019
1754tau(317^10330)142098Nik Lygeros / Olivier Rozier / LR team10/2013
1755(11*2^471913-1)/21142060Lelio R Paula09/2015
1756(16*10^142058+197)/3142059Robert Price04/2019
17572^471792+1880881142024Enzo Doria11/2016
1758(31*2^471580-1)/135141960Lelio R Paula08/2015
1759(4*10^141926-79)/3141927Robert Price02/2018
1760(904*19^110984-1)/3141924Curtis Bright05/2015
1761(14*10^141853+37)/3141854Robert Price12/2018
1762(41*10^141836-59)/9141837Robert Price10/2018
17634*5^202913-9141831Lelio R Paula04/2015
17642*7^167812-3141818Lelio R Paula12/2014
17652^471043+35141799Robert Price11/2015
1766(11*2^470956-1)/7945141770Lelio R Paula08/2015
1767(11*10^141718-131)/3141719Robert Price09/2018
17682^470692+76771141693Enzo Doria05/2016
1769(21*2^470391+1)/533141601Lelio R Paula09/2015
17702^470305-459373141576Enzo Doria05/2015
17712^470183+72623141540Enzo Doria04/2016
17722^470173-16465141537Enzo Doria04/2013
17732^469974-1841141477Enzo Doria05/2014
1774(23*2^469939+1)/25141466Lelio R Paula08/2015
17752*10^141448+63141449Robert Price05/2018
17762^469824+43141432Lelio R Paula09/2017
17772*10^141407-27141408Robert Price05/2018
17782^469630-59711141373Enzo Doria10/2015
1779(25*10^141366-331)/9141367Robert Price08/2018
1780(2^469564-3)/611141351Lelio R Paula08/2015
1781197^61601+2141342Lelio R Paula08/2017
17822^469372-112949141296Enzo Doria07/2014
1784143^(2^16)+106^(2^16)141253Valeryi Kuryshev02/2011
1783143^65536+106^65536141253Serge Batalov03/2018
17852^469198+782569141243Enzo Doria10/2016
17862^469076-2786939141206Enzo Doria11/2015
17872^468804+1874941141125Enzo Doria06/2016
17882^468787+81353141119Enzo Doria08/2016
17892^468595-350407141062Enzo Doria06/2015
17902^468564+87855141052Lelio R Paula01/2016
17912^468551-21987141048Enzo Doria07/2013
17922^468523-7141040Lelio R Paula08/2015
17932^468405+87855141004Lelio R Paula01/2016
17942^467978-113051140876Enzo Doria07/2014
17952^467780-344429140816Enzo Doria07/2015
17962^467605-1855603140764Enzo Doria09/2015
17975*10^140744-7140745Robert Price09/2015
1798(5^201359-1)/4140744Paul Bourdelais12/2008
17992^467401-1850023140702Enzo Doria08/2015
1800(2^467270+78557)/23247140658Lelio R Paula07/2015
1801(29*2^467205+1)/2780517107140635Lelio R Paula08/2015
18022^467166-1854941140631Enzo Doria09/2015
18032^466866-1840571140541Enzo Doria06/2015
18042^466829-459523140530Enzo Doria05/2015
18052^466692-113213140489Enzo Doria07/2014
1806(44*10^140410-503)/9140411Robert Price12/2018
1807153^64265-2140400Lelio R Paula11/2017
1808(112*10^140357-1)/3140359Serge Batalov12/2014
18092^466181-112735140335Enzo Doria07/2014
1810(5*10^140281-119)/3140282Robert Price03/2018
1811(27*2^465872+1)/691140241Lelio R Paula08/2015
18122^465803-114817140221Enzo Doria05/2015
1813floor(Pi*10^140344)%10^140165140165Serge Batalov08/2012
18142^465503-112735140131Enzo Doria07/2014
1815(16*10^140091+167)/3140092Robert Price06/2019
18166^179964+179964^6-1140040Robert Price04/2014
1817(29*2^465077-1)/9140003Lelio R Paula08/2015
18182^465072-344789140001Enzo Doria07/2015
18195*10^139945+81139946Robert Price03/2019
18202^464864-17139939Lelio R Paula09/2017
18218*10^139920+51139921Robert Price08/2019
1822(17^113621+1)/18139804Paul Bourdelais09/2011
1823(13*10^139782+191)/3139783Robert Price11/2018
1824(19*2^464312-1)/3139773Lelio R Paula08/2015
1825(74*10^139723+133)/9139724Robert Price06/2019
18263*10^139722+13139723Robert Price07/2018
1827(31*2^463970+1)/5139670Lelio R Paula08/2015
1828(18203^(2^15)+(18201)^(2^15))/2139597Robert Price05/2018
18292^463633-2788423139568Enzo Doria11/2015
18302^463271-109501139459Enzo Doria04/2014
1831(5*10^139457+79)/3139458Robert Price03/2018
18322^463237-99139449Lelio R Paula09/2017
1833(49*10^139442+383)/9139443Robert Price04/2019
1834(7*10^139417-547)/9139417Robert Price01/2018
1835(10^139398+191)/3139398Robert Price02/2018
18362^463019+79463139383Enzo Doria06/2016
18373^292129-112756139381Enzo Doria07/2014
1838(15*2^462951+1)/527139361Lelio R Paula08/2015
18392^462855-1865707139334Enzo Doria02/2016
18402^462786-292043139313Enzo Doria08/2015
1841(26*10^139289+1)/9139290Serge Batalov05/2010
1842(17*10^139239+67)/3139240Robert Price01/2019
18432^462238-935139148Yves Minet02/2014
18442^461228+1870441138844Enzo Doria05/2016
18452^461204-113675138837Enzo Doria08/2014
1846(2^461139-7)/47138815Lelio R Paula08/2015
1847(17*10^138812-521)/9138813Robert Price04/2018
18483*10^138811-11138812Robert Price07/2018
1849(17*2^460963+1)/124051613138757Lelio R Paula08/2015
1850(43*10^138648+101)/9138649Robert Price11/2018
18512^460567-113541138645Enzo Doria08/2014
18527*10^138604+3138605Robert Price08/2015
18532^460330+69138574Lelio R Paula09/2017
1854(17*10^138569-77)/3138570Robert Price08/2019
18552^460078-69581138498Enzo Doria12/2015
18562^459768+1531138404Lelio R Paula06/2012
18572^459343-113611138277Enzo Doria08/2014
18582^459199+1874393138233Enzo Doria06/2016
18592^459063-345307138192Enzo Doria06/2015
18602*10^138162-43138163Robert Price04/2018
18612^458927-112747138151Enzo Doria06/2014
18622^458927-69217138151Enzo Doria11/2015
1863555555*2^458524+1513138036Darren Bedwell08/2009
18642^458465+2^32+1138012T. D. Noe06/2007
18652^458321-113053137969Enzo Doria07/2014
18662^458298+79459137962Enzo Doria06/2016
18672^458248-21815137947Enzo Doria07/2013
18682^458194+1876549137931Enzo Doria07/2016
1869(318259#+325270)/(2^2*5*11*2957)137907Makoto Morimoto10/2017
1870(318259#+2625)/(3^2*5*7^5*22965193)137899Makoto Morimoto06/2019
18712^457937+57137853Lelio R Paula09/2017
1872(8*10^137845+13)/3137846Robert Price06/2018
18732^457822+105137819Donovan Johnson06/2006
18742^457754-113711137798Enzo Doria09/2014
187511^132315-360137792Enzo Doria09/2012
18762^457347-37137676Lelio R Paula09/2017
18772^457322-2786393137668Enzo Doria10/2015
1878gcd(Phi(699340,10),(10^34967+1)^3*(10^34967+1+10^17484)-(10^69934+10^34967)*(10^17484-1)+10^104901)137664Serge Batalov04/2015
18792^457240-59939137643Enzo Doria10/2015
18802^457120-21575137607Enzo Doria07/2013
1881(11*2^456978+1)/15137564Lelio R Paula07/2015
1882(7*25^98399+10613)/12137556Curtis Bright05/2015
18832^456796-113513137510Enzo Doria08/2014
1884(7*2^456655+1)/39137467Lelio R Paula07/2015
18852^456503-114361137422Enzo Doria01/2015
1886(11*2^456387+1)/19137386Lelio R Paula07/2015
1887(71*10^137250+1)/9137251Serge Batalov05/2010
18882^455922+76249137247Enzo Doria05/2016
188914^119741-119741^14137239Serge Batalov04/2016
1890(19*2^455760+1)/3455137196Lelio R Paula07/2015
1891124^(2^16)+57^(2^16)137195Valeryi Kuryshev02/2011
1892124^65536+57^65536137195Serge Batalov03/2018
18932^455689+72677137177Enzo Doria04/2016
1894(17948!)^2+Prime(17948)137118Robert Price08/2014
1895(37^87421-1)/36137093Robert Price03/2012
18962^455323-57137066Lelio R Paula09/2017
1897(73*17^111333-9)/16136991Curtis Bright05/2015
18982^455025-112723136977Enzo Doria06/2014
18992^454675-1777136871Yves Minet10/2011
19003*10^136829+29136830Robert Price05/2018
19014*10^136813-57136814Robert Price10/2018
1902(6092*28^94536-143)/9136812Curtis Bright05/2015
19032^454348-53136773Lelio R Paula09/2017
190431^91680-2136729Lelio R Paula05/2017
19052^454199-113697136728Enzo Doria09/2014
19067*10^136716+69136717Robert Price07/2019
1907(13*10^136687+47)/3136688Robert Price10/2018
19082^453935-2791357136649Enzo Doria01/2016
19092^453906-69131136640Enzo Doria11/2015
19102^453791+1873913136605Enzo Doria06/2016
1911(21*2^453740-1)/2735136588Lelio R Paula07/2015
1912580^49413+49413^580136550Norbert Schneider02/2019
19132^453503-2788297136519Enzo Doria11/2015
19142^453267-113827136447Enzo Doria09/2014
19152^453102+1877629136398Enzo Doria08/2016
1916(62*10^136384-791)/9136385Robert Price06/2019
1917L(651821)136223Henri Lifchitz09/2008
19182^452460+77701136205Enzo Doria05/2016
19192^452440-114755136199Enzo Doria04/2015
1920(47*10^136141+493)/9136142Robert Price03/2019
19212*10^136057-43136058Robert Price04/2018
1922(2^451956-5)/181136051Lelio R Paula07/2015
19232^451947-22165136050Enzo Doria07/2013
19242^451787-21805136002Enzo Doria07/2013
19252^451734-112817135986Enzo Doria06/2014
1926(11*2^451714+1)/75135979Lelio R Paula07/2015
19272^451705-21879135977Enzo Doria07/2013
19282^451560-112349135934Enzo Doria06/2014
19292^451530+45135925Lelio R Paula08/2017
19302^451450-21743135900Enzo Doria07/2013
19312^450805+65135706Lelio R Paula08/2017
1932(13725^32768+1)/131074135573Lelio R Paula03/2012
1933(5^193939+1)/6135557Paul Bourdelais12/2008
19342^449944-113247135447Enzo Doria07/2014
19352^449770-113247135395Enzo Doria07/2014
19362^449637-21471135355Enzo Doria07/2013
19372^449571-75135335Lelio R Paula08/2017
1938(14*10^135301-53)/3135302Robert Price12/2018
1939(3*2^449494+1)/61340334013135301Lelio R Paula07/2015
1940(13*10^135279+437)/9135280Robert Price04/2018
19412^449330-35135262Lelio R Paula08/2017
1942(19*2^449325+1)/9135261Lelio R Paula07/2015
1943(13*10^135184-43)/3135185Robert Price11/2018
19442^449049-115309135178Enzo Doria07/2015
1945(10^135174+191)/3135174Robert Price02/2018
19462^449030-15135172Lelio R Paula08/2017
1947(27*2^448936-1)/11135144Lelio R Paula07/2015
19482^448762-351401135091Enzo Doria07/2015
19492*10^135083-43135084Robert Price04/2018
19505*10^135019+77135020Robert Price12/2018
1951(10^135011+719)/9135011Serge Batalov12/2014
19522^448386-2786261134978Enzo Doria03/2016
1953(73*10^134939+143)/9134940Robert Price07/2019
19542^448113-113949134896Enzo Doria11/2014
19552^447888-2786639134828Enzo Doria03/2016
19562^447870-396765134823Enzo Doria07/2013
19572^447766-21791134791Enzo Doria07/2013
1958(19*10^134786-49)/3134787Robert Price05/2019
1959Phi(202173,10)/10064306514895399941409134758Makoto Kamada05/2019
1960(23*2^447647+1)/155134755Lelio R Paula07/2015
19612^447552-1019134727Yves Minet02/2014
1962(2*10^134720-41)/3134720Robert Price02/2018
19632^447437-113569134692Enzo Doria08/2014
19642^447426-65134689Lelio R Paula08/2017
19652^447357-2797573134668Enzo Doria04/2016
19662^447278+93134645Lelio R Paula08/2017
19672^447094-113193134589Enzo Doria07/2014
19683^282041-9934134568Enzo Doria05/2014
19692^447019-109039134567Enzo Doria04/2014
19702^446990-22041134558Enzo Doria07/2013
1971123^64370+122134528Karsten Bonath04/2018
19722^446782-39701134495Enzo Doria09/2015
19732^446494-16485134409Enzo Doria04/2013
197429504^30069-30069^29504134405Norbert Schneider12/2014
19752^446441+65134393Lelio R Paula08/2017
1976(10^134385+719)/9134385Serge Batalov12/2014
1977(2*10^134364+529)/9134364Robert Price01/2018
1978(13*2^446187-1)/661134314Lelio R Paula07/2015
1979(2^446022-7)/339134264Lelio R Paula07/2015
198063^74568+2134174Lelio R Paula06/2017
19812^445671-22071134161Enzo Doria07/2013
1982532^49205+49205^532134129Norbert Schneider02/2019
1983(28*10^134122-1)/9134123Serge Batalov10/2014
19842^445515-113859134114Enzo Doria10/2014
1985(22*10^134111-37)/3134112Robert Price04/2019
19862^445328-216917134058Enzo Doria05/2014
19872^445202+1874899134020Enzo Doria06/2016
1988(13*2^445102+1)/17133989Lelio R Paula07/2015
1989(35*10^133979-593)/9133980Robert Price07/2018
19902*10^133955+51133956Robert Price05/2018
19912^444964-113639133948Enzo Doria08/2014
199228118^30097-30097^28118133902Norbert Schneider01/2015
19932^444784-113859133894Enzo Doria10/2014
1994(89*10^133580+1)/9133581Serge Batalov05/2010
199562^74521-61^74521133571Robert Price05/2013
19962^443198-1867301133416Enzo Doria03/2016
1997(71^72043-1)/70133369Paul Bourdelais09/2017
19982^442799+1874633133296Enzo Doria06/2016
1999L(637751)133283Henri Lifchitz09/2008
2000109^65410-2133269Lelio R Paula10/2017


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: August, 25 2019 15:53 (Time in France)

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