PRP Records

Probable Primes Top 10000

(259919 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 ?
17512^486840+1879141146554Enzo Doria08/2016
17522^486774-87146534Lelio R Paula12/2017
175396^73877-95^73877146445Robert Price10/2015
17548*10^146421+81146422Robert Price08/2019
1755(52^85259+1)/53146304Paul Bourdelais09/2017
1756179^64935+2146290Lelio R Paula10/2017
1757(19*10^146181-49)/3146182Robert Price05/2019
17582^485531-114621146160Enzo Doria05/2015
1759(2^485461-9)/4249146135Lelio R Paula09/2015
17602^485389+81887146117Enzo Doria08/2016
1761(10^146063+71)/9146063Serge Batalov07/2015
1762(2^485119+7)/2745146032Lelio R Paula09/2015
1763(22*10^146029+257)/9146030Robert Price06/2018
17642^484743+1872923145923Enzo Doria05/2016
17652^484341+1879157145802Enzo Doria08/2016
17662^484271-51145781Lelio R Paula11/2017
176770^78989-69^78989145743Robert Price01/2014
176851^85334+2145714Robert Price07/2015
17692^483886-1857101145665Enzo Doria10/2015
17702^483563-1863457145567Enzo Doria12/2015
17712^483516-1861409145553Enzo Doria11/2015
17722^483384-115019145514Enzo Doria06/2015
1773(19*10^145499-61)/3145500Robert Price05/2019
17742^483302-3221145489Lelio R Paula12/2012
17752^483046+1874029145412Enzo Doria06/2016
17762^482991-2789317145395Enzo Doria12/2015
17772^482978-2789711145391Enzo Doria12/2015
17782^482966-2789711145388Enzo Doria12/2015
17792^482817-1858843145343Enzo Doria10/2015
17802^482751-113635145323Enzo Doria08/2014
17812^482705-459763145309Enzo Doria05/2015
1782(4^241306+11)/3145281Robert Price03/2017
1783(19*2^482534+1)/7145258Lelio R Paula09/2015
178453^84239-52^84239145252Robert Price01/2013
1785(2^482333+5)/9287145193Lelio R Paula09/2015
17862^482087+72623145123Enzo Doria04/2016
17872^482016-286565145102Enzo Doria07/2015
1788(19*10^145093+101)/3145094Robert Price09/2019
17892^481840+15145049Robert Price09/2015
17902^481801-481801145037Henri Lifchitz03/2005
17912^481775+1869083145029Enzo Doria05/2016
179229^99167+2145022Ray Chandler08/2011
17932^481663+1875653144996Enzo Doria07/2016
17942^481149-459073144841Enzo Doria05/2015
17952^481045-113215144809Enzo Doria07/2014
1796(64*10^144797+287)/9144798Robert Price04/2019
17972^480859-113695144753Enzo Doria09/2014
17982^480766-2787191144725Enzo Doria11/2015
1799(21*27^101106-151)/26144720Curtis Bright05/2015
18002^480678+1874239144699Enzo Doria06/2016
1801(8*10^144683+1)/9144683Serge Batalov05/2010
1802L(692147)144651Henri Lifchitz10/2008
1803(76*10^144648+77)/9144649Robert Price10/2019
18042^480417+35144620Robert Price11/2015
18052^480296-59879144584Enzo Doria10/2015
18062^479844+3144448Donovan Johnson06/2006
1807(27*2^479642+1)/733144386Lelio R Paula08/2015
1808(21*2^479605-1)/11144376Lelio R Paula09/2015
18092^479348-2792219144299Enzo Doria02/2016
18103^302389-6242144277Enzo Doria05/2014
18112*10^144220-3144221Robert Price07/2015
18122^478904-109109144165Enzo Doria04/2014
18132^478337-115333143994Enzo Doria07/2015
1814(7*2^478330-1)/3143993Lelio R Paula08/2015
181588^74047-87^74047143984Robert Price05/2015
1816(19*10^143963+467)/9143964Robert Price02/2018
1817(71^77761+1)/72143954Paul Bourdelais09/2017
18182^478088+27143919Robert Price11/2015
18192^477475-22071143735Enzo Doria07/2013
18202^477417-22123143717Enzo Doria07/2013
18212^477359-3577143700Yves Minet03/2017
1822(14*10^143662-71)/3143663Robert Price12/2018
18232^476936-396765143573Enzo Doria07/2013
18242^476888-2791229143558Enzo Doria01/2016
18252^476868-1859939143552Enzo Doria11/2015
1826755^49878+49878^755143547Norbert Schneider04/2019
18272^476558-113627143459Enzo Doria08/2014
18282^476478-45143435Lelio R Paula11/2017
1829(2^475854+9)/73143245Lelio R Paula08/2015
18302^475813-113239143234Enzo Doria07/2014
18312^475624-114059143178Enzo Doria11/2014
1832(11*2^475553-7)/15143156Renaud Lifchitz03/2011
18332^475480-2786129143134Enzo Doria10/2015
1834(19*10^143129-43)/3143130Robert Price05/2019
1835(14*10^143097+73)/3143098Robert Price12/2018
18362^475299-111937143080Enzo Doria05/2014
18372^475160-2797859143038Enzo Doria04/2016
1838(2^475069+3)/395143008Lelio R Paula08/2015
18392^475027-461437142998Enzo Doria07/2015
1840(2^474958+78557)/3142977Lelio R Paula07/2015
1841(8*10^142932+43)/3142933Robert Price06/2018
1842(54^82471-1)/53142871Paul Bourdelais09/2017
1843(11*2^474432-1)/95142818Lelio R Paula09/2015
18442^474417-59923142814Enzo Doria10/2015
18454*10^142810-21142811Robert Price09/2018
1846(3*2^474166+1)/7142738Lelio R Paula08/2015
18472^474053+2897142705Lelio R Paula08/2012
1848(10^142699+359)/9142699Serge Batalov12/2014
1849898^48311-897^48311142676Jean-Louis Charton12/2012
18502^473740-1856639142610Enzo Doria09/2015
18512^473617-114223142573Enzo Doria12/2014
18522^473257+1873217142465Enzo Doria06/2016
1853(19*2^473242+1)/11142461Lelio R Paula09/2015
1854(61*10^142446-1)/3142448Robert Price01/2020
1855(14*10^142440+61)/3142441Robert Price12/2018
1856(10^142425+359)/9142425Serge Batalov12/2014
18572^473101+773027142418Enzo Doria05/2016
1858(13*2^472838-1)/3142340Lelio R Paula09/2015
1859(17*2^472789-1)/187347142320Lelio R Paula09/2015
18602^472634-109511142278Enzo Doria04/2014
1861(48^84589+1)/49142213Robert Price01/2014
18627*10^142189+87142190Robert Price07/2019
18632^472258+7142164Lelio R Paula08/2015
1864(23*10^142105+91)/3142106Robert Price08/2019
1865tau(317^10330)142098Nik Lygeros / Olivier Rozier / LR team10/2013
1866(11*2^471913-1)/21142060Lelio R Paula09/2015
1867(16*10^142058+197)/3142059Robert Price04/2019
18682^471792+1880881142024Enzo Doria11/2016
1869(31*2^471580-1)/135141960Lelio R Paula08/2015
1870(4*10^141926-79)/3141927Robert Price02/2018
1871(904*19^110984-1)/3141924Curtis Bright05/2015
1872(14*10^141853+37)/3141854Robert Price12/2018
1873(41*10^141836-59)/9141837Robert Price10/2018
18744*5^202913-9141831Lelio R Paula04/2015
18752*7^167812-3141818Lelio R Paula12/2014
18762^471043+35141799Robert Price11/2015
1877(11*2^470956-1)/7945141770Lelio R Paula08/2015
1878(11*10^141718-131)/3141719Robert Price09/2018
18792^470692+76771141693Enzo Doria05/2016
1880(21*2^470391+1)/533141601Lelio R Paula09/2015
18812^470305-459373141576Enzo Doria05/2015
18822^470183+72623141540Enzo Doria04/2016
18832^470173-16465141537Enzo Doria04/2013
18842^469974-1841141477Enzo Doria05/2014
1885(23*2^469939+1)/25141466Lelio R Paula08/2015
18862*10^141448+63141449Robert Price05/2018
18872^469824+43141432Lelio R Paula09/2017
18882*10^141407-27141408Robert Price05/2018
18892^469630-59711141373Enzo Doria10/2015
1890(25*10^141366-331)/9141367Robert Price08/2018
1891(2^469564-3)/611141351Lelio R Paula08/2015
1892197^61601+2141342Lelio R Paula08/2017
18932^469372-112949141296Enzo Doria07/2014
1895143^(2^16)+106^(2^16)141253Valeryi Kuryshev02/2011
1894143^65536+106^65536141253Serge Batalov03/2018
18962^469198+782569141243Enzo Doria10/2016
18972^469076-2786939141206Enzo Doria11/2015
18982^468804+1874941141125Enzo Doria06/2016
18992^468787+81353141119Enzo Doria08/2016
19002^468595-350407141062Enzo Doria06/2015
19012^468564+87855141052Lelio R Paula01/2016
19022^468551-21987141048Enzo Doria07/2013
19032^468523-7141040Lelio R Paula08/2015
1904(25*10^141019-13)/3141020Robert Price09/2019
19052^468405+87855141004Lelio R Paula01/2016
19062^467978-113051140876Enzo Doria07/2014
19072^467780-344429140816Enzo Doria07/2015
19082^467605-1855603140764Enzo Doria09/2015
19095*10^140744-7140745Robert Price09/2015
1910(5^201359-1)/4140744Paul Bourdelais12/2008
19112^467401-1850023140702Enzo Doria08/2015
1912(2^467270+78557)/23247140658Lelio R Paula07/2015
1913(29*2^467205+1)/2780517107140635Lelio R Paula08/2015
19142^467166-1854941140631Enzo Doria09/2015
1915(85*10^140609+473)/9140610Robert Price01/2020
19162^466866-1840571140541Enzo Doria06/2015
19172^466829-459523140530Enzo Doria05/2015
19182^466692-113213140489Enzo Doria07/2014
1919(44*10^140410-503)/9140411Robert Price12/2018
1920153^64265-2140400Lelio R Paula11/2017
1921(112*10^140357-1)/3140359Serge Batalov12/2014
1922(29*10^140337-17)/3140338Robert Price09/2019
19232^466181-112735140335Enzo Doria07/2014
1924(5*10^140281-119)/3140282Robert Price03/2018
1925(27*2^465872+1)/691140241Lelio R Paula08/2015
19262^465803-114817140221Enzo Doria05/2015
1927floor(Pi*10^140344)%10^140165140165Serge Batalov08/2012
19282^465503-112735140131Enzo Doria07/2014
1929(16*10^140091+167)/3140092Robert Price06/2019
19306^179964+179964^6-1140040Robert Price04/2014
1931(89*10^140008-179)/9140009Robert Price12/2019
1932(29*2^465077-1)/9140003Lelio R Paula08/2015
19332^465072-344789140001Enzo Doria07/2015
19345*10^139945+81139946Robert Price03/2019
19352^464864-17139939Lelio R Paula09/2017
19368*10^139920+51139921Robert Price08/2019
1937(85*10^139913-1)/3139915Robert Price02/2020
1938(17^113621+1)/18139804Paul Bourdelais09/2011
1939(13*10^139782+191)/3139783Robert Price11/2018
1940(19*2^464312-1)/3139773Lelio R Paula08/2015
1941(74*10^139723+133)/9139724Robert Price06/2019
19423*10^139722+13139723Robert Price07/2018
1943(31*2^463970+1)/5139670Lelio R Paula08/2015
1944(18203^(2^15)+(18201)^(2^15))/2139597Robert Price05/2018
19452^463633-2788423139568Enzo Doria11/2015
19462^463271-109501139459Enzo Doria04/2014
1947(5*10^139457+79)/3139458Robert Price03/2018
19482^463237-99139449Lelio R Paula09/2017
1949(49*10^139442+383)/9139443Robert Price04/2019
1950(7*10^139417-547)/9139417Robert Price01/2018
1951(10^139398+191)/3139398Robert Price02/2018
19522^463019+79463139383Enzo Doria06/2016
19533^292129-112756139381Enzo Doria07/2014
1954(15*2^462951+1)/527139361Lelio R Paula08/2015
19552^462855-1865707139334Enzo Doria02/2016
1956(86*10^139315+121)/9139316Robert Price08/2019
19572^462786-292043139313Enzo Doria08/2015
1958(26*10^139289+1)/9139290Serge Batalov05/2010
1959(17*10^139239+67)/3139240Robert Price01/2019
19602^462238-935139148Yves Minet02/2014
19612^461228+1870441138844Enzo Doria05/2016
19622^461204-113675138837Enzo Doria08/2014
1963(2^461139-7)/47138815Lelio R Paula08/2015
1964(17*10^138812-521)/9138813Robert Price04/2018
19653*10^138811-11138812Robert Price07/2018
1966(28*10^138768+173)/3138769Robert Price12/2019
1967(17*2^460963+1)/124051613138757Lelio R Paula08/2015
1968(379*10^138737-1)/9138739Robert Price02/2020
1969(43*10^138648+101)/9138649Robert Price11/2018
19702^460567-113541138645Enzo Doria08/2014
19717*10^138604+3138605Robert Price08/2015
19722^460330+69138574Lelio R Paula09/2017
1973(17*10^138569-77)/3138570Robert Price08/2019
19742^460078-69581138498Enzo Doria12/2015
19752^459768+1531138404Lelio R Paula06/2012
19762^459343-113611138277Enzo Doria08/2014
1977(28*10^138240+113)/3138241Robert Price03/2020
19782^459199+1874393138233Enzo Doria06/2016
19792^459063-345307138192Enzo Doria06/2015
19802*10^138162-43138163Robert Price04/2018
19812^458927-112747138151Enzo Doria06/2014
19822^458927-69217138151Enzo Doria11/2015
1983555555*2^458524+1513138036Darren Bedwell08/2009
19842^458465+2^32+1138012T. D. Noe06/2007
19852^458321-113053137969Enzo Doria07/2014
19862^458298+79459137962Enzo Doria06/2016
19872^458248-21815137947Enzo Doria07/2013
19882^458194+1876549137931Enzo Doria07/2016
1989(318259#+325270)/(2^2*5*11*2957)137907Makoto Morimoto10/2017
1990(318259#+2625)/(3^2*5*7^5*22965193)137899Makoto Morimoto06/2019
19912^457937+57137853Lelio R Paula09/2017
1992(8*10^137845+13)/3137846Robert Price06/2018
19932^457822+105137819Donovan Johnson06/2006
19942^457754-113711137798Enzo Doria09/2014
199511^132315-360137792Enzo Doria09/2012
19962^457347-37137676Lelio R Paula09/2017
19972^457322-2786393137668Enzo Doria10/2015
1998gcd(Phi(699340,10),(10^34967+1)^3*(10^34967+1+10^17484)-(10^69934+10^34967)*(10^17484-1)+10^104901)137664Serge Batalov04/2015
19992^457240-59939137643Enzo Doria10/2015
20002^457120-21575137607Enzo Doria07/2013


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: March, 29 2020 17:41 (Time in France)

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