6 916 601 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
58909849181036688701989433	26	85.6	2021-12-02 07:21:01

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)	2000-02-23	Allan Bush	06D9D394DED20BC1	4814155
Verified (Factored)	2001-12-22	Spikeman	06D9D394DED20BC1	6127961

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-12-08	kutens	EF02D00D49556345	1	3022610	5	3

P-1 factors

Date	Factor	B1	B2
2021-12-02	58909849181036688701989433	4000000	456818670

History

Date	User	Type	Result
2021-12-08	Gordon Bower	CERT	PRP Certification Proof certified good
2021-12-08	kutens	C-PRP	M6916601/58909849181036688701989433 : EF02D00D49556345 PRP proof power = 8 PRP: Verified Proof certified good
2021-12-02	Seth_Tr	F-PM1	Factor: 58909849181036688701989433 / (P-1, B1=4000000, B2=456818670)
2021-11-10	Seth_Tr	NF-PM1	B1=3000000, B2=75000000, E=12
2021-09-26	SRBase	NF	no factor from 2^71 to 2^72
2021-08-11	SRBase	NF	no factor from 2^70 to 2^71
2021-07-18	takahashi	NF	no factor from 2^69 to 2^70
2020-05-15	TJAOI	NF	no factor from 2^68 to 2^69
2018-02-27	-Anonymous-	NF	no factor from 2^67 to 2^68
2016-04-02	Gordon Spence	NF	no factor from 2^66 to 2^67
2015-06-26	VictordeHollander	NF	no factor from 2^65 to 2^66
2014-02-17	lycorn	NF	no factor from 2^64 to 2^65
2014-02-09	Nesowa	NF	no factor from 2^63 to 2^64
2011-03-26	Carsten Kossendey	NF-PM1	B1=440000, B2=13310000, E=12