Henri & Renaud Lifchitz's PRP Top records

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 ?
1501	2^481663+1875653	144996	Enzo Doria	07/2016
1502	2^481149-459073	144841	Enzo Doria	05/2015
1503	2^481045-113215	144809	Enzo Doria	07/2014
1504	2^480859-113695	144753	Enzo Doria	09/2014
1505	2^480766-2787191	144725	Enzo Doria	11/2015
1506	(21*27^101106-151)/26	144720	Curtis Bright	05/2015
1507	2^480678+1874239	144699	Enzo Doria	06/2016
1508	(8*10^144683+1)/9	144683	Serge Batalov	05/2010
1509	L(692147)	144651	Henri Lifchitz	10/2008
1510	2^480417+35	144620	Robert Price	11/2015
1511	2^480296-59879	144584	Enzo Doria	10/2015
1512	2^479844+3	144448	Donovan Johnson	06/2006
1513	(27*2^479642+1)/733	144386	Lelio R Paula	08/2015
1514	(21*2^479605-1)/11	144376	Lelio R Paula	09/2015
1515	2^479348-2792219	144299	Enzo Doria	02/2016
1516	3^302389-6242	144277	Enzo Doria	05/2014
1517	2*10^144220-3	144221	Robert Price	07/2015
1518	2^478904-109109	144165	Enzo Doria	04/2014
1519	2^478337-115333	143994	Enzo Doria	07/2015
1520	(7*2^478330-1)/3	143993	Lelio R Paula	08/2015
1521	88^74047-87^74047	143984	Robert Price	05/2015
1522	(19*10^143963+467)/9	143964	Robert Price	02/2018
1523	(71^77761+1)/72	143954	Paul Bourdelais	09/2017
1524	2^478088+27	143919	Robert Price	11/2015
1525	2^477475-22071	143735	Enzo Doria	07/2013
1526	2^477417-22123	143717	Enzo Doria	07/2013
1527	2^477359-3577	143700	Yves Minet	03/2017
1528	2^476936-396765	143573	Enzo Doria	07/2013
1529	2^476888-2791229	143558	Enzo Doria	01/2016
1530	2^476868-1859939	143552	Enzo Doria	11/2015
1531	2^476558-113627	143459	Enzo Doria	08/2014
1532	2^476478-45	143435	Lelio R Paula	11/2017
1533	(2^475854+9)/73	143245	Lelio R Paula	08/2015
1534	2^475813-113239	143234	Enzo Doria	07/2014
1535	2^475624-114059	143178	Enzo Doria	11/2014
1536	(11*2^475553-7)/15	143156	Renaud Lifchitz	03/2011
1537	2^475480-2786129	143134	Enzo Doria	10/2015
1538	2^475299-111937	143080	Enzo Doria	05/2014
1539	2^475160-2797859	143038	Enzo Doria	04/2016
1540	(2^475069+3)/395	143008	Lelio R Paula	08/2015
1541	2^475027-461437	142998	Enzo Doria	07/2015
1542	(2^474958+78557)/3	142977	Lelio R Paula	07/2015
1543	(8*10^142932+43)/3	142933	Robert Price	06/2018
1544	(54^82471-1)/53	142871	Paul Bourdelais	09/2017
1545	(11*2^474432-1)/95	142818	Lelio R Paula	09/2015
1546	2^474417-59923	142814	Enzo Doria	10/2015
1547	(3*2^474166+1)/7	142738	Lelio R Paula	08/2015
1548	2^474053+2897	142705	Lelio R Paula	08/2012
1549	(10^142699+359)/9	142699	Serge Batalov	12/2014
1550	898^48311-897^48311	142676	Jean-Louis Charton	12/2012
1551	2^473740-1856639	142610	Enzo Doria	09/2015
1552	2^473617-114223	142573	Enzo Doria	12/2014
1553	2^473257+1873217	142465	Enzo Doria	06/2016
1554	(19*2^473242+1)/11	142461	Lelio R Paula	09/2015
1555	(10^142425+359)/9	142425	Serge Batalov	12/2014
1556	2^473101+773027	142418	Enzo Doria	05/2016
1557	(13*2^472838-1)/3	142340	Lelio R Paula	09/2015
1558	(17*2^472789-1)/187347	142320	Lelio R Paula	09/2015
1559	2^472634-109511	142278	Enzo Doria	04/2014
1560	(48^84589+1)/49	142213	Robert Price	01/2014
1561	2^472258+7	142164	Lelio R Paula	08/2015
1562	tau(317^10330)	142098	Nik Lygeros / Olivier Rozier / LR team	10/2013
1563	(11*2^471913-1)/21	142060	Lelio R Paula	09/2015
1564	2^471792+1880881	142024	Enzo Doria	11/2016
1565	(31*2^471580-1)/135	141960	Lelio R Paula	08/2015
1566	(4*10^141926-79)/3	141927	Robert Price	02/2018
1567	(904*19^110984-1)/3	141924	Curtis Bright	05/2015
1568	4*5^202913-9	141831	Lelio R Paula	04/2015
1569	2*7^167812-3	141818	Lelio R Paula	12/2014
1570	2^471043+35	141799	Robert Price	11/2015
1571	(11*2^470956-1)/7945	141770	Lelio R Paula	08/2015
1572	2^470692+76771	141693	Enzo Doria	05/2016
1573	(21*2^470391+1)/533	141601	Lelio R Paula	09/2015
1574	2^470305-459373	141576	Enzo Doria	05/2015
1575	2^470183+72623	141540	Enzo Doria	04/2016
1576	2^470173-16465	141537	Enzo Doria	04/2013
1577	2^469974-1841	141477	Enzo Doria	05/2014
1578	(23*2^469939+1)/25	141466	Lelio R Paula	08/2015
1579	2*10^141448+63	141449	Robert Price	05/2018
1580	2^469824+43	141432	Lelio R Paula	09/2017
1581	2*10^141407-27	141408	Robert Price	05/2018
1582	2^469630-59711	141373	Enzo Doria	10/2015
1583	(2^469564-3)/611	141351	Lelio R Paula	08/2015
1584	197^61601+2	141342	Lelio R Paula	08/2017
1585	2^469372-112949	141296	Enzo Doria	07/2014
1587	143^(2^16)+106^(2^16)	141253	Valeryi Kuryshev	02/2011
1586	143^65536+106^65536	141253	Serge Batalov	03/2018
1588	2^469198+782569	141243	Enzo Doria	10/2016
1589	2^469076-2786939	141206	Enzo Doria	11/2015
1590	2^468804+1874941	141125	Enzo Doria	06/2016
1591	2^468787+81353	141119	Enzo Doria	08/2016
1592	2^468595-350407	141062	Enzo Doria	06/2015
1593	2^468564+87855	141052	Lelio R Paula	01/2016
1594	2^468551-21987	141048	Enzo Doria	07/2013
1595	2^468523-7	141040	Lelio R Paula	08/2015
1596	2^468405+87855	141004	Lelio R Paula	01/2016
1597	2^467978-113051	140876	Enzo Doria	07/2014
1598	2^467780-344429	140816	Enzo Doria	07/2015
1599	2^467605-1855603	140764	Enzo Doria	09/2015
1600	5*10^140744-7	140745	Robert Price	09/2015
1601	(5^201359-1)/4	140744	Paul Bourdelais	12/2008
1602	2^467401-1850023	140702	Enzo Doria	08/2015
1603	(2^467270+78557)/23247	140658	Lelio R Paula	07/2015
1604	(29*2^467205+1)/2780517107	140635	Lelio R Paula	08/2015
1605	2^467166-1854941	140631	Enzo Doria	09/2015
1606	2^466866-1840571	140541	Enzo Doria	06/2015
1607	2^466829-459523	140530	Enzo Doria	05/2015
1608	2^466692-113213	140489	Enzo Doria	07/2014
1609	153^64265-2	140400	Lelio R Paula	11/2017
1610	(112*10^140357-1)/3	140359	Serge Batalov	12/2014
1611	2^466181-112735	140335	Enzo Doria	07/2014
1612	(5*10^140281-119)/3	140282	Robert Price	03/2018
1613	(27*2^465872+1)/691	140241	Lelio R Paula	08/2015
1614	2^465803-114817	140221	Enzo Doria	05/2015
1615	floor(Pi*10^140344)%10^140165	140165	Serge Batalov	08/2012
1616	2^465503-112735	140131	Enzo Doria	07/2014
1617	6^179964+179964^6-1	140040	Robert Price	04/2014
1618	(29*2^465077-1)/9	140003	Lelio R Paula	08/2015
1619	2^465072-344789	140001	Enzo Doria	07/2015
1620	2^464864-17	139939	Lelio R Paula	09/2017
1621	(17^113621+1)/18	139804	Paul Bourdelais	09/2011
1622	(19*2^464312-1)/3	139773	Lelio R Paula	08/2015
1623	3*10^139722+13	139723	Robert Price	07/2018
1624	(31*2^463970+1)/5	139670	Lelio R Paula	08/2015
1625	(18203^(2^15)+(18201)^(2^15))/2	139597	Robert Price	05/2018
1626	2^463633-2788423	139568	Enzo Doria	11/2015
1627	2^463271-109501	139459	Enzo Doria	04/2014
1628	(5*10^139457+79)/3	139458	Robert Price	03/2018
1629	2^463237-99	139449	Lelio R Paula	09/2017
1630	(7*10^139417-547)/9	139417	Robert Price	01/2018
1631	(10^139398+191)/3	139398	Robert Price	02/2018
1632	2^463019+79463	139383	Enzo Doria	06/2016
1633	3^292129-112756	139381	Enzo Doria	07/2014
1634	(15*2^462951+1)/527	139361	Lelio R Paula	08/2015
1635	2^462855-1865707	139334	Enzo Doria	02/2016
1636	2^462786-292043	139313	Enzo Doria	08/2015
1637	(26*10^139289+1)/9	139290	Serge Batalov	05/2010
1638	2^462238-935	139148	Yves Minet	02/2014
1639	2^461228+1870441	138844	Enzo Doria	05/2016
1640	2^461204-113675	138837	Enzo Doria	08/2014
1641	(2^461139-7)/47	138815	Lelio R Paula	08/2015
1642	(17*10^138812-521)/9	138813	Robert Price	04/2018
1643	3*10^138811-11	138812	Robert Price	07/2018
1644	(17*2^460963+1)/124051613	138757	Lelio R Paula	08/2015
1645	2^460567-113541	138645	Enzo Doria	08/2014
1646	7*10^138604+3	138605	Robert Price	08/2015
1647	2^460330+69	138574	Lelio R Paula	09/2017
1648	2^460078-69581	138498	Enzo Doria	12/2015
1649	2^459768+1531	138404	Lelio R Paula	06/2012
1650	2^459343-113611	138277	Enzo Doria	08/2014
1651	2^459199+1874393	138233	Enzo Doria	06/2016
1652	2^459063-345307	138192	Enzo Doria	06/2015
1653	2*10^138162-43	138163	Robert Price	04/2018
1654	2^458927-112747	138151	Enzo Doria	06/2014
1655	2^458927-69217	138151	Enzo Doria	11/2015
1656	555555*2^458524+1513	138036	Darren Bedwell	08/2009
1657	2^458465+2^32+1	138012	T. D. Noe	06/2007
1658	2^458321-113053	137969	Enzo Doria	07/2014
1659	2^458298+79459	137962	Enzo Doria	06/2016
1660	2^458248-21815	137947	Enzo Doria	07/2013
1661	2^458194+1876549	137931	Enzo Doria	07/2016
1662	(318259#+325270)/(2^2511*2957)	137907	Makoto Morimoto	10/2017
1663	2^457937+57	137853	Lelio R Paula	09/2017
1664	(8*10^137845+13)/3	137846	Robert Price	06/2018
1665	2^457822+105	137819	Donovan Johnson	06/2006
1666	2^457754-113711	137798	Enzo Doria	09/2014
1667	11^132315-360	137792	Enzo Doria	09/2012
1668	2^457347-37	137676	Lelio R Paula	09/2017
1669	2^457322-2786393	137668	Enzo Doria	10/2015
1670	gcd(Phi(699340,10),(10^34967+1)^3(10^34967+1+10^17484)-(10^69934+10^34967)(10^17484-1)+10^104901)	137664	Serge Batalov	04/2015
1671	2^457240-59939	137643	Enzo Doria	10/2015
1672	2^457120-21575	137607	Enzo Doria	07/2013
1673	(11*2^456978+1)/15	137564	Lelio R Paula	07/2015
1674	(7*25^98399+10613)/12	137556	Curtis Bright	05/2015
1675	2^456796-113513	137510	Enzo Doria	08/2014
1676	(7*2^456655+1)/39	137467	Lelio R Paula	07/2015
1677	2^456503-114361	137422	Enzo Doria	01/2015
1678	(11*2^456387+1)/19	137386	Lelio R Paula	07/2015
1679	(71*10^137250+1)/9	137251	Serge Batalov	05/2010
1680	2^455922+76249	137247	Enzo Doria	05/2016
1681	14^119741-119741^14	137239	Serge Batalov	04/2016
1682	(19*2^455760+1)/3455	137196	Lelio R Paula	07/2015
1684	124^(2^16)+57^(2^16)	137195	Valeryi Kuryshev	02/2011
1683	124^65536+57^65536	137195	Serge Batalov	03/2018
1685	2^455689+72677	137177	Enzo Doria	04/2016
1686	(17948!)^2+Prime(17948)	137118	Robert Price	08/2014
1687	(37^87421-1)/36	137093	Robert Price	03/2012
1688	2^455323-57	137066	Lelio R Paula	09/2017
1689	(73*17^111333-9)/16	136991	Curtis Bright	05/2015
1690	2^455025-112723	136977	Enzo Doria	06/2014
1691	2^454675-1777	136871	Yves Minet	10/2011
1692	3*10^136829+29	136830	Robert Price	05/2018
1693	(6092*28^94536-143)/9	136812	Curtis Bright	05/2015
1694	2^454348-53	136773	Lelio R Paula	09/2017
1695	31^91680-2	136729	Lelio R Paula	05/2017
1696	2^454199-113697	136728	Enzo Doria	09/2014
1697	2^453935-2791357	136649	Enzo Doria	01/2016
1698	2^453906-69131	136640	Enzo Doria	11/2015
1699	2^453791+1873913	136605	Enzo Doria	06/2016
1700	(21*2^453740-1)/2735	136588	Lelio R Paula	07/2015
1701	2^453503-2788297	136519	Enzo Doria	11/2015
1702	2^453267-113827	136447	Enzo Doria	09/2014
1703	2^453102+1877629	136398	Enzo Doria	08/2016
1704	L(651821)	136223	Henri Lifchitz	09/2008
1705	2^452460+77701	136205	Enzo Doria	05/2016
1706	2^452440-114755	136199	Enzo Doria	04/2015
1707	2*10^136057-43	136058	Robert Price	04/2018
1708	(2^451956-5)/181	136051	Lelio R Paula	07/2015
1709	2^451947-22165	136050	Enzo Doria	07/2013
1710	2^451787-21805	136002	Enzo Doria	07/2013
1711	2^451734-112817	135986	Enzo Doria	06/2014
1712	(11*2^451714+1)/75	135979	Lelio R Paula	07/2015
1713	2^451705-21879	135977	Enzo Doria	07/2013
1714	2^451560-112349	135934	Enzo Doria	06/2014
1715	2^451530+45	135925	Lelio R Paula	08/2017
1716	2^451450-21743	135900	Enzo Doria	07/2013
1717	2^450805+65	135706	Lelio R Paula	08/2017
1718	(13725^32768+1)/131074	135573	Lelio R Paula	03/2012
1719	(5^193939+1)/6	135557	Paul Bourdelais	12/2008
1720	2^449944-113247	135447	Enzo Doria	07/2014
1721	2^449770-113247	135395	Enzo Doria	07/2014
1722	2^449637-21471	135355	Enzo Doria	07/2013
1723	2^449571-75	135335	Lelio R Paula	08/2017
1724	(3*2^449494+1)/61340334013	135301	Lelio R Paula	07/2015
1725	(13*10^135279+437)/9	135280	Robert Price	04/2018
1726	2^449330-35	135262	Lelio R Paula	08/2017
1727	(19*2^449325+1)/9	135261	Lelio R Paula	07/2015
1728	2^449049-115309	135178	Enzo Doria	07/2015
1729	(10^135174+191)/3	135174	Robert Price	02/2018
1730	2^449030-15	135172	Lelio R Paula	08/2017
1731	(27*2^448936-1)/11	135144	Lelio R Paula	07/2015
1732	2^448762-351401	135091	Enzo Doria	07/2015
1733	2*10^135083-43	135084	Robert Price	04/2018
1734	(10^135011+719)/9	135011	Serge Batalov	12/2014
1735	2^448386-2786261	134978	Enzo Doria	03/2016
1736	2^448113-113949	134896	Enzo Doria	11/2014
1737	2^447888-2786639	134828	Enzo Doria	03/2016
1738	2^447870-396765	134823	Enzo Doria	07/2013
1739	2^447766-21791	134791	Enzo Doria	07/2013
1740	(23*2^447647+1)/155	134755	Lelio R Paula	07/2015
1741	2^447552-1019	134727	Yves Minet	02/2014
1742	(2*10^134720-41)/3	134720	Robert Price	02/2018
1743	2^447437-113569	134692	Enzo Doria	08/2014
1744	2^447426-65	134689	Lelio R Paula	08/2017
1745	2^447357-2797573	134668	Enzo Doria	04/2016
1746	2^447278+93	134645	Lelio R Paula	08/2017
1747	2^447094-113193	134589	Enzo Doria	07/2014
1748	3^282041-9934	134568	Enzo Doria	05/2014
1749	2^447019-109039	134567	Enzo Doria	04/2014
1750	2^446990-22041	134558	Enzo Doria	07/2013

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