3 051 599 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
6834760994044210393121	22	72.5	2021-05-18 08:28:17

ECM

Digits	B1	Curves
25	50000	59 / 280

Estimated T-Level: 21.1 ⓘ

TF below 2^65 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Paul Iverson	60CEF572A07B0039	0
Verified (Factored)	1999-05-30	Ronald C. Rosier	60CEF572A07B0039	761934

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-05-18	RichD0	2B01C4FDDA59C94F	1	502779	5	3

P-1 factors

Date	Factor	B1	B2
2021-08-10	6834760994044210393121	32516003	1853412171

History

Date	User	Type	Result
2022-02-05	Joss	NF-PM1	B1=1000000, B2=119912100
2022-01-20	Joss	NF	no factor from 2^67 to 2^68
2021-08-10	oodaira	F-PM1	Factor: 6834760994044210393121 / (P-1, B1=32516003, B2=1853412171, E=12)
2021-05-18	ANONYMOUS	CERT	PRP Certification Proof certified good
2021-05-18	RichD0	C-PRP	M3051599/6834760994044210393121 : 2B01C4FDDA59C94F PRP proof power = 7 PRP: Verified Proof certified good
2021-05-18	daveward2005	F-ECM	Factor: 6834760994044210393121 / (ECM curve 2, B1=50000, B2=5000000, Sigma=6822643941208460)
2021-03-25	TJAOI	NF	no factor from 2^68 to 2^69
2018-07-25	ramgeis	NF	no factor from 2^67 to 2^68
2017-10-01	mikr	NF-PM1	B1=3000000, B2=100000000, E=12
2017-05-06	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-03-16	Squeeky_Squirrel	NF-PM1	B1=205000, B2=5688750, E=12
2015-06-06	Tha	NF	no factor from 2^65 to 2^66
2015-02-07	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-02-07	VictordeHollander	NF	no factor from 2^63 to 2^64
2013-01-07	dbaugh	NF	no factor from 2^62 to 2^63
2011-03-20	Sid & Andy	NF	no factor from 2^61 to 2^62
2010-10-05	markr	NF-PM1	B1=110000, B2=2447500, E=6
2009-02-13	Sturle Sunde	NF	no factor from 2^60 to 2^61