6 054 739 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
81849946600038231549817	23	76.1	2022-02-01 01:18:03

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)	1999-05-23	The Prime Hunters	E96F54D76B9EFD26	3307916
Verified (Factored)	2000-12-07	chris clark	E96F54D76B9EFD26	1005305

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-02-06	ATH	F02BBBA2F416A939	1	2274432	5	3

P-1 factors

Date	Factor	B1	B2
2022-02-01	81849946600038231549817	2000000	6017824890

History

Date	User	Type	Result
2022-02-06	Jaron Wakley	CERT	PRP Certification Proof certified good
2022-02-06	ATH	C-PRP	M6054739/81849946600038231549817 : F02BBBA2F416A939 PRP proof power = 7 PRP: Verified Proof certified good
2022-02-01	lycorn	F-PM1	Factor: 81849946600038231549817 / (P-1, B1=2000000, B2=6017824890)
2022-01-10	takahashi	NF	no factor from 2^72 to 2^73
2021-09-19	SRBase	NF	no factor from 2^71 to 2^72
2020-11-01	takahashi	NF	no factor from 2^70 to 2^71
2020-10-05	takahashi	NF	no factor from 2^69 to 2^70
2020-03-03	takahashi	NF	no factor from 2^68 to 2^69
2019-05-29	takahashi	NF-PM1	B1=400000, B2=7500000, E=12
2018-05-29	ramgeis	NF	no factor from 2^67 to 2^68
2016-03-12	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
2015-10-07	snme2pm1	NF	no factor from 2^65 to 2^66
2014-09-16	monst	NF	no factor from 2^64 to 2^65
2014-09-12	Nesowa	NF	no factor from 2^63 to 2^64
2011-04-01	markr	NF-PM1	B1=110000, B2=2172500, E=6