975 427 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
50131881566873436105944319376554016057	38	125.2	2022-10-02 07:14:48

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	100 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	1829	0
Verified (Factored)		Paul Victor Novarese	BFB41DB481DEB829	0
Verified (Factored)		Jeff Yoder and Brian Sampson	BFB41DB481DEB829	0
Verified (Factored)	2015-04-11	MadPoo	BFB41DB481DEB829	488078

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-10-04	Rubiksmath	0F8710313306DFAA	1	812123	5	3

P-1 factors

Date	Factor	B1	B2
2022-10-02	50131881566873436105944319376554016057	50000000	1263691439010

History

Date	User	Type	Result
2022-10-04	ky0uraku	CERT	PRP Certification Proof certified good
2022-10-04	Rubiksmath	C-PRP	M975427/50131881566873436105944319376554016057 : 0F8710313306DFAA PRP proof power = 6 PRP: Verified Proof certified good
2022-10-02	axn	F-PM1	Factor: 50131881566873436105944319376554016057 / (P-1, B1=50000000, B2=1263691439010)
2022-02-11	LordJulius	NF	no factor from 2^67 to 2^68
2018-12-18	lycorn	NF	no factor from 2^66 to 2^67
2018-04-12	BloodERazor	NF	no factor from 2^65 to 2^66
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2015-12-14	lycorn	NF	no factor from 2^64 to 2^65
2015-09-16	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-09-16	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-04-11	MadPoo	C-LL	BFB41DB481DEB829
2014-03-27	alpertron	NF-PM1	B1=10000000, B2=500000000, E=12
2014-02-20	lycorn	NF	no factor from 2^61 to 2^62
2013-10-20	David Campeau	NF-PM1	B1=1000000, B2=32000000, E=12
2012-06-26	Joss	NF-PM1	B1=975463
2012-02-06	Joss	NF-PM1	B1=686230
2011-06-19	Joss	NF-PM1	B1=400000
2011-06-02	Joss	NF-PM1	B1=200000
2010-05-14	Architects Cubed	NF	no factor from 2^60 to 2^61