3 714 631 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
583744118473965513768757399	27	88.9	2021-05-16 11:25:32

ECM

Digits	B1	Curves
25	50000	12 / 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)	1997-12-04	Ian Pattle	DC050BFC505C0A09	0
Verified (Factored)	1999-08-22	Stephen Wood	DC050BFC505C0A09	1140267

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-05-18	kutens	9572F8040141032F	1	1180618	5	3

P-1 factors

Date	Factor	B1	B2
2021-05-16	583744118473965513768757399	14000000	700000000

History

Date	User	Type	Result
2022-05-24	Joss	NF-PM1	B1=100000, B2=130364850
2022-03-22	Joss	NF-PM1	B1=100000
2022-03-04	Joss	NF-PM1	B1=90000
2021-05-18	Richard Thomas	CERT	PRP Certification Proof certified good
2021-05-18	kutens	C-PRP	M3714631/583744118473965513768757399 : 9572F8040141032F PRP proof power = 7 PRP: Verified Proof certified good
2021-05-16	axn	F-PM1	Factor: 583744118473965513768757399 / (P-1, B1=14000000, B2=700000000)
2021-03-07	axn	NF	no factor from 2^69 to 2^70
2020-12-14	axn	NF	no factor from 2^68 to 2^69
2019-01-28	TJAOI	NF	no factor from 2^67 to 2^68
2016-10-31	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-02-23	ramgeis	NF	no factor from 2^65 to 2^66
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-01-22	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-01-22	VictordeHollander	NF	no factor from 2^63 to 2^64
2012-12-11	Squeeky_Squirrel	NF-PM1	B1=245000, B2=7717500, E=12
2012-04-19	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-04-20	Grant McCracken	NF	no factor from 2^61 to 2^62
2009-07-06	Carsten Kossendey	NF-PM1	B1=20000, B2=265000
2009-03-06	S485122	NF	no factor from 2^60 to 2^61