56 843 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
7601839373862253592350009769774618529761	40	132.5	2017-02-08 18:15:24

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	545 / 4588

Estimated T-Level: 35.6 ⓘ

TF below 2^113 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	7FD7	0
Verified (Factored)		Robert Clark	839C3AE20CC37FD7	0
Verified (Factored)		Brian J. Beesley	839C3AE20CC37FD7	0
Verified (Factored)	2015-04-11	MadPoo	839C3AE20CC37FD7	47611

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	7D670A7374F780FE	1	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	7D670A7374F780FE	1	0	1	3
Verified	2017-12-07	ATH	7D670A7374F780FE	1	32005	1	3
Verified	2020-04-17	Oliver Kruse	119FA6BE18C1F576	1	19349	5	3
Verified	2024-02-03	Wentao Huang	119FA6BE18C1F576	1	23705	5	3

P-1 factors

Date	Factor	B1	B2
2017-02-08	7601839373862253592350009769774618529761	1000000000	12721806059616

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M56843/7601839373862253592350009769774618529761 : 119FA6BE18C1F576 PRP: Verified PRP without proof (small exponent)
2021-05-04	ATH	NF-PP1	Start=2/7, B1=15000000, B2=1500000000
2020-04-17	Oliver Kruse	C-PRP	M56843/7601839373862253592350009769774618529761 : 119FA6BE18C1F576 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M56843/7601839373862253592350009769774618529761 : 7D670A7374F780FE PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M56843/7601839373862253592350009769774618529761 : 7D670A7374F780FE PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M56843/7601839373862253592350009769774618529761 : 7D670A7374F780FE PRP without proof (not generated)
2017-02-08	kkmrkkblmbrbk	F-PM1	Factor: 7601839373862253592350009769774618529761 / (P-1, B1=1000000000, B2=12721806059616)
2016-03-16	snme2pm1	NF	no factor from 2^62 to 2^63
2016-02-23	LaurV	NF	no factor from 2^58 to 2^59
2016-02-23	LaurV	NF	no factor from 2^57 to 2^58
2015-04-11	MadPoo	C-LL	839C3AE20CC37FD7
2014-09-13	Sid & Andy	NF	no factor from 2^61 to 2^62
2013-11-16	lycorn	NF	no factor from 2^60 to 2^61
2012-05-08	alpertron	NF-PM1	B1=100000000, B2=2000000000, E=12
2012-02-17	Joss	NF-PM1	B1=17101169
2009-01-05	Sturle Sunde	NF	no factor from 2^59 to 2^60