5 164 853 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
124289638862458595058763566118770512561	39	126.5	2022-07-17 01:22:32

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)		Martijn Otto	7587DA64C1B68EFE	0
Verified (Factored)	2000-04-27	Glenn S. Maitz	7587DA64C1B68EFE	1021184

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-07-23	Ryan Propper	8DF28B3FC12359D2	1	3446211	5	3

P-1 factors

Date	Factor	B1	B2
2022-07-17	124289638862458595058763566118770512561	4000000	10285831710

History

Date	User	Type	Result
2022-07-23	Numberwang	CERT	PRP Certification Proof certified good
2022-07-23	Ryan Propper	C-PRP	M5164853/124289638862458595058763566118770512561 : 8DF28B3FC12359D2 PRP proof power = 7 PRP: Verified Proof certified good
2022-07-17	Sid & Andy	F-PM1	Factor: 124289638862458595058763566118770512561 / (P-1, B1=4000000, B2=10285831710)
2022-01-25	mikr	NF	no factor from 2^70 to 2^71
2022-01-16	Gordon Spence	NF	no factor from 2^69 to 2^70
2020-11-16	TJAOI	NF	no factor from 2^68 to 2^69
2018-06-20	ramgeis	NF	no factor from 2^67 to 2^68
2016-06-03	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-05-25	Ismo Laitela	NF-PM1	B1=1692717, B2=50781506, E=12
2016-02-23	Mark Rose	NF	no factor from 2^1 to 2^62
2015-08-09	snme2pm1	NF	no factor from 2^65 to 2^66
2014-12-17	VictordeHollander	NF	no factor from 2^64 to 2^65
2014-12-17	VictordeHollander	NF	no factor from 2^63 to 2^64
2009-09-30	USAFSS	NF-PM1	B1=55000, B2=935000, E=6
2009-08-25	Carsten Kossendey	NF-PM1	B1=25000, B2=325000
2009-06-24	GrunwalderGIMP	NF	no factor from 2^62 to 2^63