5 470 259 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
674199602609709106293624412714991	33	109.1	2021-10-25 09:49:24

ECM

Digits	B1	Curves
25	50000	9 / 280

Estimated T-Level: 20.2 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)	1998-12-21	Gordon Bower	0CA6FC93E67C26ED	0
Verified (Factored)	2000-08-10	Stephen Wood	0CA6FC93E67C26ED	2923556

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-10-30	LaurV	186DC4C3974A7727	1	4148318	5	3

P-1 factors

Date	Factor	B1	B2
2021-10-25	674199602609709106293624412714991	8000000	400000000

History

Date	User	Type	Result
2021-10-31	Chuck	CERT	PRP Certification Proof certified good
2021-10-30	LaurV	C-PRP	M5470259/674199602609709106293624412714991 : 186DC4C3974A7727 PRP proof power = 7 PRP: Verified Proof certified good
2021-10-25	axn	F-PM1	Factor: 674199602609709106293624412714991 / (P-1, B1=8000000, B2=400000000)
2021-09-18	SRBase	NF	no factor from 2^71 to 2^72
2021-08-23	SRBase	NF	no factor from 2^70 to 2^71
2021-08-18	SRBase	NF	no factor from 2^69 to 2^70
2020-09-07	TJAOI	NF	no factor from 2^68 to 2^69
2019-09-19	USAFSS	NF-PM1	B1=330000, B2=9817500, E=12
2018-06-29	ramgeis	NF	no factor from 2^67 to 2^68
2016-07-02	Gordon Spence	NF	no factor from 2^66 to 2^67
2015-08-24	snme2pm1	NF	no factor from 2^65 to 2^66
2014-12-30	monst	NF	no factor from 2^64 to 2^65
2014-12-30	snme2pm1	NF	no factor from 2^63 to 2^64
2010-04-24	Squeeky_Squirrel	NF-PM1	B1=60000, B2=1035000, E=6
2009-05-05	GrunwalderGIMP	NF	no factor from 2^62 to 2^63