968 971 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
60757054127032109185030627160274265642817	41	135.5	2022-09-26 01:50:17

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)		Steve Costaras	B59BE977770404F6	0
Verified (Factored)		Cornelius Caesar	B59BE977770404F6	0
Verified (Factored)	2003-02-09	Brian J. Beesley	B59BE977770404F6	4275
Verified (Factored)	2016-06-01	MadPoo	B59BE977770404F6	636082

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-09-28	LordJulius	803152BD5BA059B7	1	416426	5	3

P-1 factors

Date	Factor	B1	B2
2022-09-26	60757054127032109185030627160274265642817	50000000	1263691439010

History

Date	User	Type	Result
2022-09-28	ANONYMOUS	CERT	PRP Certification Proof certified good
2022-09-28	LordJulius	C-PRP	M968971/60757054127032109185030627160274265642817 : 803152BD5BA059B7 PRP proof power = 6 PRP: Verified Proof certified good
2022-09-26	axn	F-PM1	Factor: 60757054127032109185030627160274265642817 / (P-1, B1=50000000, B2=1263691439010)
2022-02-20	Gordon Spence	NF	no factor from 2^67 to 2^68
2019-01-20	lycorn	NF	no factor from 2^66 to 2^67
2018-03-17	BloodERazor	NF	no factor from 2^65 to 2^66
2016-06-01	MadPoo	C-LL	B59BE977770404F6
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2015-12-18	lycorn	NF	no factor from 2^64 to 2^65
2015-09-01	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-09-01	Gordon Spence	NF	no factor from 2^62 to 2^63
2014-03-24	alpertron	NF-PM1	B1=10000000, B2=500000000, E=12
2014-03-09	lycorn	NF	no factor from 2^61 to 2^62
2013-10-13	David Campeau	NF-PM1	B1=840000, B2=25200000, E=12
2012-01-27	Joss	NF-PM1	B1=692164
2011-06-21	Joss	NF-PM1	B1=400000
2011-06-03	Joss	NF-PM1	B1=200000
2010-05-17	Architects Cubed	NF	no factor from 2^60 to 2^61