PRP Records

Probable Primes Top 10000

(290751 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 ?
17512^572592-114893172368Enzo Doria05/2015
17524*10^172354-39172355Robert Price09/2020
175337535^37674+37674^37535172338Norbert Schneider05/2022
1754(11*10^172322-119)/9172323Robert Price11/2021
17555^246497-4^246497172295Jean-Louis Charton11/2008
1756(38^109037-1)/37172254Paul Bourdelais10/2017
1757(4*10^172241+89)/3172242Robert Price08/2021
17583*10^172219+73172220Robert Price08/2018
1759A352736(15)172032Kellen Shenton05/2022
1760(36^110503+1)/37171975Lelio R Paula04/2017
17618*10^171934+71171935Robert Price05/2022
1762(11*10^171933+601)/9171934Robert Price02/2022
1763(22*10^171929-73)/3171930Robert Price04/2019
1764(49*10^171892-319)/9171893Robert Price10/2021
17654*10^171891-63171892Robert Price10/2018
176667*10^171882-9171884Robert Price03/2021
17672^570980-2782289171883Enzo Doria09/2015
1768(25*10^171849-37)/3171850Robert Price10/2019
176910^171832+387909171833Patrick De Geest08/2021
177010^171832-10001171832Robert Price02/2021
1771(2^(12*47563+13)-9)/7171818Kevin Acres11/2013
1772(74*10^171651-29)/9171652Robert Price06/2022
1773(536*10^171601-23)/9171603Robert Price02/2020
17747*10^171535-99171536Robert Price06/2019
1775(28*10^171534+101)/3171535Robert Price09/2020
17762^569563-1854607171456Enzo Doria09/2015
17773*10^171391+59171392Robert Price08/2018
1778(13*10^171306-37)/3171307Robert Price01/2019
17798*10^171296+87171297Robert Price10/2019
1780(55^98419-1)/54171284Paul Bourdelais12/2017
1781(29*10^171275+67)/3171276Robert Price12/2019
1782(194*10^171193+1)/3171195Robert Price01/2022
17832^568642+1876129171179Enzo Doria07/2016
17844*10^171146-47171147Robert Price10/2021
1785(19*10^170970+131)/3170971Robert Price06/2020
1786(46*10^170932+143)/9170933Robert Price01/2019
1787(79*10^170901-1)/3170903Robert Price02/2020
1788(58*10^170842+221)/9170843Robert Price02/2017
1789(29*10^170830+583)/9170831Robert Price06/2021
17903*10^170800+73170801Robert Price08/2018
1791(29*10^170799-119)/9170800Robert Price12/2021
179211^164009-270170798Enzo Doria10/2012
17932*10^170767+41170768Robert Price05/2018
17943^357706-112358170670Enzo Doria07/2014
1795TheodorusPrime(170657)170657Eric W. Weisstein08/2013
17962^566871+1876163170646Enzo Doria07/2016
1797(10657#+(404267#)/(10657#))/(1675379)170624Makoto Morimoto10/2017
17982^566496+7170533Donovan Johnson07/2006
1799(7^201653+1)/8170416Paul Bourdelais02/2010
18007*10^170348+33170349Robert Price06/2020
18012^565183-352021170138Enzo Doria07/2015
18022^565143-114457170125Enzo Doria02/2015
18032^564976-49869170075Enzo Doria10/2015
1804(7*10^169944+23)/3169945Robert Price06/2020
1805(37*10^169943+251)/9169944Robert Price09/2021
18062^564526-351401169940Enzo Doria07/2015
18074*10^169759+19169760Robert Price10/2018
180821^128327-20^128327169677Jean-Louis Charton11/2014
18092^563583+89169656Stefano Morozzi04/2021
1810(4*10^169559+83)/3169560Robert Price02/2018
1811(194*10^169461-17)/3169463Robert Price09/2020
18122^562749+2793047169405Enzo Doria02/2016
1813(154*10^169337-1)/9169339Serge Batalov12/2014
1814(109*10^169337+11)/3169339Robert Price06/2022
1815(56*10^169311+691)/9169312Robert Price05/2019
18162^562369-29503169290Enzo Doria08/2015
1817(17*10^169283+19)/9169284Robert Price03/2021
18188*10^169071+59169072Robert Price11/2021
1819(10^169044+173)/3169044Robert Price05/2021
1820(22*10^169019+383)/9169020Robert Price05/2018
1821(64*10^168935+143)/9168936Robert Price05/2021
1822(22*10^168906+47)/3168907Robert Price06/2021
18235*10^168807+87168808Robert Price02/2019
1824(77*10^168803-149)/9168804Robert Price03/2022
18254*10^168788-47168789Robert Price10/2021
1826(154*10^168781+17)/9168783Robert Price06/2022
1827(418*10^168751-31)/9168753Robert Price05/2022
1828(29*10^168711+691)/9168712Robert Price08/2021
18292^560405-39943168699Enzo Doria09/2015
1830(397*10^168634+17)/9168636Robert Price03/2022
183189*10^168614-7168616Robert Price04/2020
1832(23*10^168608-83)/3168609Robert Price08/2019
1833(94*10^168541+11)/3168543Robert Price04/2020
18342^559686-350471168483Enzo Doria06/2015
18352^559672-1855889168479Enzo Doria09/2015
1836(5*10^168379-473)/9168379Robert Price01/2018
18372^559000-59939168276Enzo Doria11/2015
1838(16*10^168181+41)/3168182Robert Price03/2019
1839(19*10^168173+77)/3168174Robert Price05/2019
1840(74*10^168170+529)/9168171Robert Price02/2022
18412^558640-114149168168Enzo Doria12/2014
18422^558498-1849277168125Enzo Doria08/2015
18432^558476-1850249168119Enzo Doria08/2015
1844(7*10^168067+71)/3168068Robert Price05/2018
18452^558150-1852211168020Enzo Doria08/2015
18462^558125-113661168013Enzo Doria09/2014
1847393^64747-392^64747167980Jean-Louis Charton08/2012
1848(13*10^167911+179)/3167912Robert Price11/2018
1849(26*10^167861-167)/3167862Robert Price10/2019
185039^105456+2167788Robert Price04/2015
1851(28^115877-1)/27167691Paul Bourdelais12/2017
185210^167639+121911167640Patrick De Geest07/2018
185310^167639-8001167639Robert Price03/2018
18542^556504-462059167525Enzo Doria07/2015
1855(88*10^167522-637)/9167523Robert Price11/2020
18565*10^167510+9167511Robert Price08/2015
18577*10^167437-93167438Robert Price08/2020
185811^160663+6167314Paul Bourdelais02/2021
1859(7*10^167308-493)/9167308Robert Price04/2021
18602^555343+1874333167175Enzo Doria06/2016
18612^555210-461261167135Enzo Doria07/2015
18629*10^166996+59166997Robert Price01/2020
1863(68*10^166976-329)/9166977Robert Price03/2021
1864(64*10^166901+683)/9166902Robert Price06/2022
18652^554372+1880527166883Enzo Doria11/2016
18662^554299+72173166861Enzo Doria04/2016
1867(185*10^166837+7)/3166839Robert Price03/2020
1868(14*10^166813+139)/9166814Robert Price11/2021
18692^554037-2797063166782Enzo Doria03/2016
1870(49*10^166721-139)/9166722Robert Price03/2019
18712*10^166646+69166647Robert Price06/2020
18722^553484-29819166616Enzo Doria08/2015
1873(188*10^166611+7)/3166613Robert Price03/2020
18742^553383-2784217166585Enzo Doria10/2015
18752^553069+76427166491Enzo Doria05/2016
18762*10^166458+51166459Robert Price05/2018
1877589^60089-588^60089166454Jean-Louis Charton09/2012
187811^159756-2424166369Mike Oakes06/2010
18792^552649-361275166364Enzo Doria05/2014
18802^552628-113669166358Enzo Doria09/2014
1881(19*10^166325+137)/3166326Robert Price03/2022
188210^166324+550603166325Patrick De Geest07/2018
188310^166324-801166324Robert Price02/2018
1884(85*10^166297-1)/3166299Robert Price02/2020
18858*10^166227+87166228Robert Price10/2019
18862^552137+1879397166210Enzo Doria09/2016
1887(103*10^166126+11)/3166128Robert Price01/2021
1888(22*10^166077+179)/3166078Robert Price02/2022
1889(23^121949-1)/22166061Paul Bourdelais10/2017
18902^551542+19249166031Payam Samidoost08/2002
18912^551535-23821166029Enzo Doria08/2013
18922^551507-23557166021Enzo Doria08/2013
189310^165947-7000000001165947Robert Price12/2021
18944*10^165938-47165939Robert Price10/2021
18957*10^165916-3165917Robert Price08/2015
1896(29*10^165796+67)/3165797Robert Price12/2019
189781^86837-80^86837165728Robert Price01/2015
1898(71*10^165663-539)/9165664Robert Price07/2019
18992^550270-69551165648Enzo Doria12/2015
1900(202*10^165569-13)/9165571Robert Price01/2020
19012^550000-23625165567Enzo Doria08/2013
19022^549675-1852057165469Enzo Doria08/2015
1903(529*10^165394-7)/9165396Robert Price08/2021
1904-tau(103^14938)165374Nik Lygeros / Olivier Rozier10/2013
1905(28*10^165358-1)/9165359Serge Batalov10/2014
19062^549278+1879669165350Enzo Doria09/2016
1907(7*10^165350-439)/9165350Robert Price02/2018
19082^549252-351269165342Enzo Doria06/2015
190967*10^165327-9165329Robert Price03/2021
1911(14*10^165282+73)/3165283Robert Price12/2018
1910(8*10^165283-629)/9165283Robert Price01/2022
19122^549049+2797607165281Enzo Doria04/2016
1913(218*10^165258+7)/9165260Robert Price06/2022
1914(7*10^165239+107)/3165240Robert Price02/2018
1915(44^100511-1)/43165184Paul Bourdelais11/2017
1916(7*10^165134+107)/3165135Robert Price02/2018
1917(301*10^165082+23)/9165084Robert Price06/2021
1918(23*10^165060-83)/3165061Robert Price08/2019
1919(76*10^164984+77)/9164985Robert Price10/2019
1920(4*10^164929-211)/9164929Robert Price03/2022
192110^164878-500001164878Robert Price03/2022
19229*10^164791-89164792Robert Price04/2020
19232^547178-1856501164717Enzo Doria10/2015
192411^158160-60164707Enzo Doria07/2012
1925(26*10^164643-167)/3164644Robert Price10/2019
1926(10^164643+83)/3164643Robert Price08/2021
19272^546398-59201164483Enzo Doria10/2015
19282^546332-114893164463Enzo Doria05/2015
1929(65*10^164427+277)/9164428Robert Price08/2021
19302^545958+1876189164350Enzo Doria07/2016
19312^545878-49841164326Enzo Doria10/2015
1932(10^164284+77)/3164284Robert Price01/2018
19332^545668-4019164263Yves Minet04/2017
193410^164216+780639164217Patrick De Geest08/2021
193610^164216-50000000001164216Robert Price12/2020
193510^164216-891051164216Patrick De Geest08/2021
1937(13*53^238539*617^9)/10^247183164151Hans Havermann07/2017
1938(16*10^164122+197)/3164123Robert Price04/2019
19392^545185+76757164118Enzo Doria05/2016
19402^545076-114329164085Enzo Doria01/2015
1941(2*10^164043-143)/3164043Robert Price03/2018
1942(29^112153+1)/30164011Lelio R Paula03/2017
19432^544757+1874777163989Enzo Doria06/2016
19442^544444-457199163894Enzo Doria01/2015
19452^544264-343529163840Enzo Doria07/2015
19467*10^163780+9163781Robert Price09/2015
19472^543989+2793047163758Enzo Doria02/2016
1948(28*10^163709+113)/3163710Robert Price03/2020
1949(23*10^163523+301)/9163524Robert Price06/2021
1950(68*10^163521-329)/9163522Robert Price03/2021
195135820^35899+35899^35820163489Norbert Schneider11/2021
19522^542870-69551163421Enzo Doria12/2015
19532^542395+72533163278Enzo Doria04/2016
19542^542072-3683163180Yves Minet03/2017
1955(682*10^163106-7)/9163108Robert Price08/2021
19562^541779-1867357163092Enzo Doria04/2016
1957(29*10^163056+313)/9163057Robert Price04/2021
19588*10^162924+9162925Robert Price12/2015
19592^540905+81557162829Enzo Doria08/2016
19602^540628-2939162746Yves Minet09/2014
1961919^54919-918^54919162743Jean-Louis Charton01/2013
1962(203*10^162689+1)/3162691Robert Price03/2020
19633*10^162620-59162621Robert Price09/2018
19643^340694-112960162553Enzo Doria07/2014
19652^539807-114081162499Enzo Doria12/2014
1966414^62093+62093^414162498Norbert Schneider03/2022
19672^539654-114893162453Enzo Doria05/2015
19689*10^162449-71162450Robert Price11/2020
19692^539617-1851583162441Enzo Doria08/2015
1970(91*10^162410+11)/3162412Robert Price02/2020
19712^539346+81049162360Enzo Doria07/2016
19722^539220-115499162322Enzo Doria07/2015
19732^539217-113713162321Enzo Doria09/2014
19749^170099-8^170099162316Jean-Louis Charton05/2005
19754*10^162263-39162264Robert Price09/2020
1976(115*10^162153-1)/3162155Serge Batalov12/2014
1977(10^162138+11)/3162138Serge Batalov07/2015
1978(61*10^162100-403)/9162101Robert Price10/2021
19792^538473-112723162097Enzo Doria06/2014
19802^538157+79337162002Enzo Doria06/2016
19812^538136-114749161996Enzo Doria05/2015
19822^538104+1531161986Lelio R Paula01/2013
1983(9*29^110727-1199)/14161927Curtis Bright05/2015
19842^537815-22737161899Enzo Doria07/2013
19852^537804-39839161896Enzo Doria09/2015
1986(754*10^161816-7)/9161818Robert Price05/2020
19872^537458-59201161791Enzo Doria10/2015
19882*10^161766+51161767Robert Price05/2018
1989(7*10^161760+131)/3161761Robert Price06/2020
19902^537209-49849161717Enzo Doria10/2015
1991(58*10^161691+329)/9161692Robert Price05/2019
199223*10^161668-3161670Robert Price10/2021
19932^536937+1879397161635Enzo Doria09/2016
199434*10^161593-9161595Robert Price06/2020
1995(31*10^161582-1)/3161584Robert Price02/2020
19962^536569-22881161524Enzo Doria07/2013
1997(46*10^161505+593)/9161506Robert Price04/2022
199810^161253+573493161254Patrick De Geest07/2018
199910^161253-8001161253Robert Price03/2018
200097*10^161247-3161249Robert Price05/2020


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 23 2022 21:24 (Time in France)

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