11 659 097 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
201854040068403817967	21	67.5	2018-01-21 23:55:09

ECM

Digits	B1	Curves
25	50000	2 / 280

Estimated T-Level: 20.0 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)	2001-01-28	Takahiro Shakushi	AFE6F0503A6E3B34	757323
Verified (Factored)	2004-03-26	Alexander Koshkin	AFE6F0503A6E3B34	3286531

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-10-02	mrh	77F7531BAD326CE4	1	7443431	5	3

History

Date	User	Type	Result
2025-06-12	yuriy_5-1	NF	no factor from 2^70 to 2^71
2025-05-05	yuriy_5-1	NF	no factor from 2^69 to 2^70
2025-03-31	yuriy_5-1	NF	no factor from 2^68 to 2^69
2025-03-11	yuriy_5-1	NF-PM1	B1=6995454, B2=453435840
2024-09-09	yuriy_5-1	NF-PM1	B1=2800000, B2=14609805210
2021-10-02	Tercariol, C. A. S.	CERT	PRP Certification Proof certified good
2021-10-02	mrh	C-PRP	M11659097/201854040068403817967 : 77F7531BAD326CE4 PRP proof power = 8 PRP: Verified Proof certified good
2018-01-21	ramgeis	F	Factor: 201854040068403817967 / TF: 67-68*
2016-01-30	VictordeHollander	NF	no factor from 2^66 to 2^67
2015-05-12	Sid & Andy	NF-PM1	B1=125000, B2=2187500, E=6
2014-12-20	Nesowa	NF	no factor from 2^65 to 2^66
2013-11-03	lycorn	NF	no factor from 2^64 to 2^65