7 074 469 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
3713905907202689002460677243143407737561	40	131.4	2022-01-06 11:58:26

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)	1999-09-14	Michael J. Kilfoyle	4AA501FB53405727	3135582
Verified (Factored)	2001-11-10	Mark Outhier	4AA501FB53405727	1834028

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-01-12	mrh	C93209BB92F814D5	1	1992699	5	3

P-1 factors

Date	Factor	B1	B2
2022-01-06	3713905907202689002460677243143407737561	1000000	3077594520

History

Date	User	Type	Result
2022-01-12	curtisc	CERT	PRP Certification Proof certified good
2022-01-12	mrh	C-PRP	M7074469/3713905907202689002460677243143407737561 : C93209BB92F814D5 PRP proof power = 8 PRP: Verified Proof certified good
2022-01-06	Luminescence	F-PM1	Factor: 3713905907202689002460677243143407737561 / (P-1, B1=1000000, B2=3077594520)
2021-09-26	SRBase	NF	no factor from 2^71 to 2^72
2021-09-07	SRBase	NF	no factor from 2^70 to 2^71
2021-08-22	SRBase	NF	no factor from 2^69 to 2^70
2020-04-17	TJAOI	NF	no factor from 2^68 to 2^69
2018-07-22	ramgeis	NF	no factor from 2^67 to 2^68
2018-06-13	Squeeky_Squirrel	NF-PM1	B1=415000, B2=12553750, E=12
2016-08-20	kkmrkkblmbrbk	NF	no factor from 2^66 to 2^67
2015-06-16	VictordeHollander	NF	no factor from 2^65 to 2^66
2014-02-10	lycorn	NF	no factor from 2^64 to 2^65
2014-02-06	Nesowa	NF	no factor from 2^63 to 2^64
2012-01-05	bcp19	NF-PM1	B1=85000, B2=1530000, E=6