12 596 747 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
1641467123454565040529377	25	80.4	2021-07-31 14:12:08

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)	2002-05-25	Wolfgang Marganiec	FDD2D53E73F48C98	4398476
Verified (Factored)	2004-09-02	Rommel C. Zulueta	FDD2D53E73F48C98	4468512

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-04-23	Klaus Nordmann	E832C0A7823A76F0	1	3393056	5	3

P-1 factors

Date	Factor	B1	B2
2021-07-31	1641467123454565040529377	1000000	71000000

History

Date	User	Type	Result
2022-04-23	Ben Delo	CERT	PRP Certification Proof certified good
2022-04-23	Klaus Nordmann	C-PRP	M12596747/1641467123454565040529377 : E832C0A7823A76F0 PRP proof power = 8 PRP: Verified Proof certified good
2021-07-31	Dylan Delgado	F-PM1	Factor: 1641467123454565040529377 / (P-1, B1=1000000, B2=71000000)
2017-12-16	ramgeis	NF	no factor from 2^68 to 2^69
2017-12-16	ramgeis	NF	no factor from 2^67 to 2^68
2015-03-26	Tha	NF	no factor from 2^66 to 2^67
2014-03-28	Nesowa	NF	no factor from 2^65 to 2^66
2013-06-17	lycorn	NF	no factor from 2^64 to 2^65