19 961 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
346610998155577471	18	58.3	old
28782128464948978646801	23	74.6	2009-04-06 12:38:33
18280154936554116615214565544103	32	103.9	2014-10-02 12:08:05
15496411074043802625156465260254389071	38	123.5	2017-04-02 23:37:51

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	1330 / 4588

Estimated T-Level: 36.4 ⓘ

TF below 2^116 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	4E27AE8D0E135DFA	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	4E27AE8D0E135DFA	4	0	1	3
Verified	2017-12-07	ATH	4E27AE8D0E135DFA	4	224	1	3
Unverified	2020-04-17	Oliver Kruse	C14DFC1609766D__	4	10599	5	3

P-1 factors

Date	Factor	B1	B2
2017-04-02	15496411074043802625156465260254389071	10000000000	1206738685689916

History

Date	User	Type	Result
2020-04-17	Oliver Kruse	C-PRP	M19961/346610998155577471/28782128464948978646801/18280154936554116615214565544103/15496411074043802625156465260254389071 : C14DFC1609766D__ PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M19961/346610998155577471/28782128464948978646801/18280154936554116615214565544103/15496411074043802625156465260254389071 : 4E27AE8D0E135DFA PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M19961/346610998155577471/28782128464948978646801/18280154936554116615214565544103/15496411074043802625156465260254389071 : 4E27AE8D0E135DFA PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M19961/346610998155577471/28782128464948978646801/18280154936554116615214565544103/15496411074043802625156465260254389071 : 4E27AE8D0E135DFA PRP without proof (not generated)
2017-04-02	kkmrkkblmbrbk	F-PM1	Factor: 15496411074043802625156465260254389071 / (P-1, B1=10000000000, B2=1206738685689916)
2014-10-02	James Hintz	F-ECM	Factor: 18280154936554116615214565544103 / (ECM curve 34, B1=250000, B2=25000000)
2009-04-06	Matthias Wurtinger	F-ECM	Factor: 28782128464948978646801