6 157 891 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
6837689775647036675783	22	72.5	2019-08-10 21:03:03

ECM

Digits	B1	Curves
25	50000	6 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1999-02-07	Sjaak Koster	731667F78DC0DC45	0
Verified (Factored)	2001-02-18	Alex_Alaniz	731667F78DC0DC45	3449441

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-08-11	mnd9	FF8ED300619D920F	1	5661803	5	3
Verified	2019-08-12	marssystems	FF8ED300619D920F	1	2211542	5	3

P-1 factors

Date	Factor	B1	B2
2019-08-10	6837689775647036675783	600000	12000000

History

Date	User	Type	Result
2025-01-16	Stef42	NF-PM1	B1=2077000, B2=5513903850
2019-08-12	marssystems	C-PRP	M6157891/6837689775647036675783 : FF8ED300619D920F PRP: Verified PRP without proof (not generated)
2019-08-11	mnd9	C-PRP	M6157891/6837689775647036675783 : FF8ED300619D920F PRP: Verified PRP without proof (not generated)
2019-08-10	takahashi	F-PM1	Factor: 6837689775647036675783 / (P-1, B1=600000, B2=12000000, E=12)
2018-05-30	ramgeis	NF	no factor from 2^67 to 2^68
2016-04-10	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-10-08	Bruno Victal	NF	no factor from 2^65 to 2^66
2014-09-18	monst	NF	no factor from 2^64 to 2^65
2014-09-10	Nesowa	NF	no factor from 2^63 to 2^64
2011-04-25	markr	NF-PM1	B1=115000, B2=2242500, E=6