3 093 851 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
2005321831995603819403914768905345527	37	120.6	2018-05-11 00:12:51

ECM

Digits	B1	Curves
25	50000	15 / 280

Estimated T-Level: 20.3 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		George Woltman	971BA62413691070	0
Verified (Factored)	2000-02-01	Lawrence Cairns-Smith	971BA62413691070	698279

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2018-05-13	Oliver Kruse	2F707BF47FB759B2	1	1519381	5	3
Verified	2018-05-13	ATH	2F707BF47FB759B2	1	1019358	5	3

P-1 factors

Date	Factor	B1	B2
2018-05-11	2005321831995603819403914768905345527	3000000	100000000

History

Date	User	Type	Result
2022-07-17	Joss	NF-PM1	B1=3093851, B2=3119823630
2021-12-22	Joss	NF-PM1	B1=3093851, B2=596527470
2021-12-08	Joss	NF	no factor from 2^68 to 2^69
2021-08-04	Joss	NF-PM1	B1=3093851, B2=68087702, E=6
2021-08-04	Joss	NF-PM1	B1=3093851, B2=64993851, E=6
2021-02-25	Joss	NF	no factor from 2^67 to 2^68
2021-02-17	Joss	NF	no factor from 2^66 to 2^67
2021-02-16	Joss	NF	no factor from 2^65 to 2^66
2018-05-13	ATH	C-PRP	M3093851/2005321831995603819403914768905345527 : 2F707BF47FB759B2 PRP: Verified PRP without proof (not generated)
2018-05-13	Oliver Kruse	C-PRP	M3093851/2005321831995603819403914768905345527 : 2F707BF47FB759B2 PRP: Verified PRP without proof (not generated)
2018-05-11	mikr	F-PM1	Factor: 2005321831995603819403914768905345527 / (P-1, B1=3000000, B2=100000000, E=12)
2017-05-18	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^60 to 2^61
2015-06-11	Tha	NF	no factor from 2^65 to 2^66
2015-02-07	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-02-07	VictordeHollander	NF	no factor from 2^63 to 2^64
2013-01-09	Squeeky_Squirrel	NF-PM1	B1=210000, B2=5985000, E=12
2013-01-07	dbaugh	NF	no factor from 2^62 to 2^63
2011-12-02	Sid & Andy	NF	no factor from 2^61 to 2^62