3 028 721 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
6312711036756000107712991	25	82.4	2016-01-24 01:43:34

ECM

Digits	B1	Curves
25	50000	10 / 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)		chris lueders	39D7D8F15A0A6279	0
Verified (Factored)	1999-06-06	Kim Neve	39D7D8F15A0A6279	1312108

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-30	alpertron	3F0A909B8E17C47E	1	0	1	3
Verified	2017-11-17	Oliver Kruse	3F0A909B8E17C47E	1	2793695	1	3

History

Date	User	Type	Result
2022-09-03	Joss	NF-PM1	B1=1204308, B2=223284600
2022-03-11	LordJulius	NF	no factor from 2^66 to 2^67
2022-01-06	Joss	NF-PM1	B1=1204308, B2=116447100
2021-03-20	Joss	NF	no factor from 2^67 to 2^68
2020-12-29	Joss	NF-PM1	B1=302872, B2=3028721, E=6
2017-11-17	Oliver Kruse	C-PRP	M3028721/6312711036756000107712991 : 3F0A909B8E17C47E PRP: Verified PRP without proof (not generated)
2017-09-30	alpertron	C-PRP	M3028721/6312711036756000107712991 : 3F0A909B8E17C47E PRP: Verified PRP without proof (not generated)
2016-01-24	bam	F-ECM	Factor: 6312711036756000107712991 / (ECM curve 1, B1=50000, B2=5000000)
2015-06-02	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
2013-01-07	dbaugh	NF	no factor from 2^62 to 2^63
2010-10-11	markr	NF-PM1	B1=115000, B2=2357500, E=6
2010-10-10	Sid & Andy	NF	no factor from 2^61 to 2^62
2009-01-31	Jayson King	NF	no factor from 2^60 to 2^61