PRP Records

Probable Primes Top 10000

(255244 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 ?
17512^479348-2792219144299Enzo Doria02/2016
17523^302389-6242144277Enzo Doria05/2014
17532*10^144220-3144221Robert Price07/2015
17542^478904-109109144165Enzo Doria04/2014
17552^478337-115333143994Enzo Doria07/2015
1756(7*2^478330-1)/3143993Lelio R Paula08/2015
175788^74047-87^74047143984Robert Price05/2015
1758(19*10^143963+467)/9143964Robert Price02/2018
1759(71^77761+1)/72143954Paul Bourdelais09/2017
17602^478088+27143919Robert Price11/2015
17612^477475-22071143735Enzo Doria07/2013
17622^477417-22123143717Enzo Doria07/2013
17632^477359-3577143700Yves Minet03/2017
1764(14*10^143662-71)/3143663Robert Price12/2018
17652^476936-396765143573Enzo Doria07/2013
17662^476888-2791229143558Enzo Doria01/2016
17672^476868-1859939143552Enzo Doria11/2015
1768755^49878+49878^755143547Norbert Schneider04/2019
17692^476558-113627143459Enzo Doria08/2014
17702^476478-45143435Lelio R Paula11/2017
1771(2^475854+9)/73143245Lelio R Paula08/2015
17722^475813-113239143234Enzo Doria07/2014
17732^475624-114059143178Enzo Doria11/2014
1774(11*2^475553-7)/15143156Renaud Lifchitz03/2011
17752^475480-2786129143134Enzo Doria10/2015
1776(19*10^143129-43)/3143130Robert Price05/2019
1777(14*10^143097+73)/3143098Robert Price12/2018
17782^475299-111937143080Enzo Doria05/2014
17792^475160-2797859143038Enzo Doria04/2016
1780(2^475069+3)/395143008Lelio R Paula08/2015
17812^475027-461437142998Enzo Doria07/2015
1782(2^474958+78557)/3142977Lelio R Paula07/2015
1783(8*10^142932+43)/3142933Robert Price06/2018
1784(54^82471-1)/53142871Paul Bourdelais09/2017
1785(11*2^474432-1)/95142818Lelio R Paula09/2015
17862^474417-59923142814Enzo Doria10/2015
17874*10^142810-21142811Robert Price09/2018
1788(3*2^474166+1)/7142738Lelio R Paula08/2015
17892^474053+2897142705Lelio R Paula08/2012
1790(10^142699+359)/9142699Serge Batalov12/2014
1791898^48311-897^48311142676Jean-Louis Charton12/2012
17922^473740-1856639142610Enzo Doria09/2015
17932^473617-114223142573Enzo Doria12/2014
17942^473257+1873217142465Enzo Doria06/2016
1795(19*2^473242+1)/11142461Lelio R Paula09/2015
1796(14*10^142440+61)/3142441Robert Price12/2018
1797(10^142425+359)/9142425Serge Batalov12/2014
17982^473101+773027142418Enzo Doria05/2016
1799(13*2^472838-1)/3142340Lelio R Paula09/2015
1800(17*2^472789-1)/187347142320Lelio R Paula09/2015
18012^472634-109511142278Enzo Doria04/2014
1802(48^84589+1)/49142213Robert Price01/2014
18037*10^142189+87142190Robert Price07/2019
18042^472258+7142164Lelio R Paula08/2015
1805(23*10^142105+91)/3142106Robert Price08/2019
1806tau(317^10330)142098Nik Lygeros / Olivier Rozier / LR team10/2013
1807(11*2^471913-1)/21142060Lelio R Paula09/2015
1808(16*10^142058+197)/3142059Robert Price04/2019
18092^471792+1880881142024Enzo Doria11/2016
1810(31*2^471580-1)/135141960Lelio R Paula08/2015
1811(4*10^141926-79)/3141927Robert Price02/2018
1812(904*19^110984-1)/3141924Curtis Bright05/2015
1813(14*10^141853+37)/3141854Robert Price12/2018
1814(41*10^141836-59)/9141837Robert Price10/2018
18154*5^202913-9141831Lelio R Paula04/2015
18162*7^167812-3141818Lelio R Paula12/2014
18172^471043+35141799Robert Price11/2015
1818(11*2^470956-1)/7945141770Lelio R Paula08/2015
1819(11*10^141718-131)/3141719Robert Price09/2018
18202^470692+76771141693Enzo Doria05/2016
1821(21*2^470391+1)/533141601Lelio R Paula09/2015
18222^470305-459373141576Enzo Doria05/2015
18232^470183+72623141540Enzo Doria04/2016
18242^470173-16465141537Enzo Doria04/2013
18252^469974-1841141477Enzo Doria05/2014
1826(23*2^469939+1)/25141466Lelio R Paula08/2015
18272*10^141448+63141449Robert Price05/2018
18282^469824+43141432Lelio R Paula09/2017
18292*10^141407-27141408Robert Price05/2018
18302^469630-59711141373Enzo Doria10/2015
1831(25*10^141366-331)/9141367Robert Price08/2018
1832(2^469564-3)/611141351Lelio R Paula08/2015
1833197^61601+2141342Lelio R Paula08/2017
18342^469372-112949141296Enzo Doria07/2014
1836143^(2^16)+106^(2^16)141253Valeryi Kuryshev02/2011
1835143^65536+106^65536141253Serge Batalov03/2018
18372^469198+782569141243Enzo Doria10/2016
18382^469076-2786939141206Enzo Doria11/2015
18392^468804+1874941141125Enzo Doria06/2016
18402^468787+81353141119Enzo Doria08/2016
18412^468595-350407141062Enzo Doria06/2015
18422^468564+87855141052Lelio R Paula01/2016
18432^468551-21987141048Enzo Doria07/2013
18442^468523-7141040Lelio R Paula08/2015
1845(25*10^141019-13)/3141020Robert Price09/2019
18462^468405+87855141004Lelio R Paula01/2016
18472^467978-113051140876Enzo Doria07/2014
18482^467780-344429140816Enzo Doria07/2015
18492^467605-1855603140764Enzo Doria09/2015
18505*10^140744-7140745Robert Price09/2015
1851(5^201359-1)/4140744Paul Bourdelais12/2008
18522^467401-1850023140702Enzo Doria08/2015
1853(2^467270+78557)/23247140658Lelio R Paula07/2015
1854(29*2^467205+1)/2780517107140635Lelio R Paula08/2015
18552^467166-1854941140631Enzo Doria09/2015
18562^466866-1840571140541Enzo Doria06/2015
18572^466829-459523140530Enzo Doria05/2015
18582^466692-113213140489Enzo Doria07/2014
1859(44*10^140410-503)/9140411Robert Price12/2018
1860153^64265-2140400Lelio R Paula11/2017
1861(112*10^140357-1)/3140359Serge Batalov12/2014
1862(29*10^140337-17)/3140338Robert Price09/2019
18632^466181-112735140335Enzo Doria07/2014
1864(5*10^140281-119)/3140282Robert Price03/2018
1865(27*2^465872+1)/691140241Lelio R Paula08/2015
18662^465803-114817140221Enzo Doria05/2015
1867floor(Pi*10^140344)%10^140165140165Serge Batalov08/2012
18682^465503-112735140131Enzo Doria07/2014
1869(16*10^140091+167)/3140092Robert Price06/2019
18706^179964+179964^6-1140040Robert Price04/2014
1871(29*2^465077-1)/9140003Lelio R Paula08/2015
18722^465072-344789140001Enzo Doria07/2015
18735*10^139945+81139946Robert Price03/2019
18742^464864-17139939Lelio R Paula09/2017
18758*10^139920+51139921Robert Price08/2019
1876(17^113621+1)/18139804Paul Bourdelais09/2011
1877(13*10^139782+191)/3139783Robert Price11/2018
1878(19*2^464312-1)/3139773Lelio R Paula08/2015
1879(74*10^139723+133)/9139724Robert Price06/2019
18803*10^139722+13139723Robert Price07/2018
1881(31*2^463970+1)/5139670Lelio R Paula08/2015
1882(18203^(2^15)+(18201)^(2^15))/2139597Robert Price05/2018
18832^463633-2788423139568Enzo Doria11/2015
18842^463271-109501139459Enzo Doria04/2014
1885(5*10^139457+79)/3139458Robert Price03/2018
18862^463237-99139449Lelio R Paula09/2017
1887(49*10^139442+383)/9139443Robert Price04/2019
1888(7*10^139417-547)/9139417Robert Price01/2018
1889(10^139398+191)/3139398Robert Price02/2018
18902^463019+79463139383Enzo Doria06/2016
18913^292129-112756139381Enzo Doria07/2014
1892(15*2^462951+1)/527139361Lelio R Paula08/2015
18932^462855-1865707139334Enzo Doria02/2016
1894(86*10^139315+121)/9139316Robert Price08/2019
18952^462786-292043139313Enzo Doria08/2015
1896(26*10^139289+1)/9139290Serge Batalov05/2010
1897(17*10^139239+67)/3139240Robert Price01/2019
18982^462238-935139148Yves Minet02/2014
18992^461228+1870441138844Enzo Doria05/2016
19002^461204-113675138837Enzo Doria08/2014
1901(2^461139-7)/47138815Lelio R Paula08/2015
1902(17*10^138812-521)/9138813Robert Price04/2018
19033*10^138811-11138812Robert Price07/2018
1904(17*2^460963+1)/124051613138757Lelio R Paula08/2015
1905(43*10^138648+101)/9138649Robert Price11/2018
19062^460567-113541138645Enzo Doria08/2014
19077*10^138604+3138605Robert Price08/2015
19082^460330+69138574Lelio R Paula09/2017
1909(17*10^138569-77)/3138570Robert Price08/2019
19102^460078-69581138498Enzo Doria12/2015
19112^459768+1531138404Lelio R Paula06/2012
19122^459343-113611138277Enzo Doria08/2014
19132^459199+1874393138233Enzo Doria06/2016
19142^459063-345307138192Enzo Doria06/2015
19152*10^138162-43138163Robert Price04/2018
19162^458927-112747138151Enzo Doria06/2014
19172^458927-69217138151Enzo Doria11/2015
1918555555*2^458524+1513138036Darren Bedwell08/2009
19192^458465+2^32+1138012T. D. Noe06/2007
19202^458321-113053137969Enzo Doria07/2014
19212^458298+79459137962Enzo Doria06/2016
19222^458248-21815137947Enzo Doria07/2013
19232^458194+1876549137931Enzo Doria07/2016
1924(318259#+325270)/(2^2*5*11*2957)137907Makoto Morimoto10/2017
1925(318259#+2625)/(3^2*5*7^5*22965193)137899Makoto Morimoto06/2019
19262^457937+57137853Lelio R Paula09/2017
1927(8*10^137845+13)/3137846Robert Price06/2018
19282^457822+105137819Donovan Johnson06/2006
19292^457754-113711137798Enzo Doria09/2014
193011^132315-360137792Enzo Doria09/2012
19312^457347-37137676Lelio R Paula09/2017
19322^457322-2786393137668Enzo Doria10/2015
1933gcd(Phi(699340,10),(10^34967+1)^3*(10^34967+1+10^17484)-(10^69934+10^34967)*(10^17484-1)+10^104901)137664Serge Batalov04/2015
19342^457240-59939137643Enzo Doria10/2015
19352^457120-21575137607Enzo Doria07/2013
1936(11*2^456978+1)/15137564Lelio R Paula07/2015
1937(7*25^98399+10613)/12137556Curtis Bright05/2015
19382^456796-113513137510Enzo Doria08/2014
1939(7*2^456655+1)/39137467Lelio R Paula07/2015
19402^456503-114361137422Enzo Doria01/2015
1941(11*2^456387+1)/19137386Lelio R Paula07/2015
1942(71*10^137250+1)/9137251Serge Batalov05/2010
19432^455922+76249137247Enzo Doria05/2016
194414^119741-119741^14137239Serge Batalov04/2016
1945(19*2^455760+1)/3455137196Lelio R Paula07/2015
1947124^(2^16)+57^(2^16)137195Valeryi Kuryshev02/2011
1946124^65536+57^65536137195Serge Batalov03/2018
19482^455689+72677137177Enzo Doria04/2016
1949(17948!)^2+Prime(17948)137118Robert Price08/2014
1950(37^87421-1)/36137093Robert Price03/2012
19512^455323-57137066Lelio R Paula09/2017
1952(73*17^111333-9)/16136991Curtis Bright05/2015
19532^455025-112723136977Enzo Doria06/2014
19542^454675-1777136871Yves Minet10/2011
19553*10^136829+29136830Robert Price05/2018
19564*10^136813-57136814Robert Price10/2018
1957(6092*28^94536-143)/9136812Curtis Bright05/2015
19582^454348-53136773Lelio R Paula09/2017
195931^91680-2136729Lelio R Paula05/2017
19602^454199-113697136728Enzo Doria09/2014
19617*10^136716+69136717Robert Price07/2019
1962(13*10^136687+47)/3136688Robert Price10/2018
19632^453935-2791357136649Enzo Doria01/2016
19642^453906-69131136640Enzo Doria11/2015
19652^453791+1873913136605Enzo Doria06/2016
1966(21*2^453740-1)/2735136588Lelio R Paula07/2015
1967580^49413+49413^580136550Norbert Schneider02/2019
19682^453503-2788297136519Enzo Doria11/2015
19692^453267-113827136447Enzo Doria09/2014
19702^453102+1877629136398Enzo Doria08/2016
1971(62*10^136384-791)/9136385Robert Price06/2019
1972(25*10^136303+161)/3136304Robert Price09/2019
1973L(651821)136223Henri Lifchitz09/2008
19742^452460+77701136205Enzo Doria05/2016
19752^452440-114755136199Enzo Doria04/2015
1976(47*10^136141+493)/9136142Robert Price03/2019
19772*10^136057-43136058Robert Price04/2018
1978(2^451956-5)/181136051Lelio R Paula07/2015
19792^451947-22165136050Enzo Doria07/2013
19802^451787-21805136002Enzo Doria07/2013
19812^451734-112817135986Enzo Doria06/2014
1982(11*2^451714+1)/75135979Lelio R Paula07/2015
19832^451705-21879135977Enzo Doria07/2013
19842^451560-112349135934Enzo Doria06/2014
19852^451530+45135925Lelio R Paula08/2017
1986(25*10^135906-73)/3135907Robert Price09/2019
19872^451450-21743135900Enzo Doria07/2013
19882^450805+65135706Lelio R Paula08/2017
1989(13725^32768+1)/131074135573Lelio R Paula03/2012
1990(5^193939+1)/6135557Paul Bourdelais12/2008
19912^449944-113247135447Enzo Doria07/2014
19922^449770-113247135395Enzo Doria07/2014
19932^449637-21471135355Enzo Doria07/2013
19942^449571-75135335Lelio R Paula08/2017
1995(14*10^135301-53)/3135302Robert Price12/2018
1996(3*2^449494+1)/61340334013135301Lelio R Paula07/2015
1997(13*10^135279+437)/9135280Robert Price04/2018
19982^449330-35135262Lelio R Paula08/2017
1999(19*2^449325+1)/9135261Lelio R Paula07/2015
2000(13*10^135184-43)/3135185Robert Price11/2018


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: November, 10 2019 12:07 (Time in France)

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