3 011 053 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
2351716048694062111	19	61.0	2010-09-06 13:02:59
42596176943218232623	20	65.2	2018-07-25 09:39:09

ECM

Digits	B1	Curves
25	50000	94 / 280

Estimated T-Level: 21.7 ⓘ

TF below 2^67 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Roger Gariépy	DF925D168B1F9D52	0
Verified (Factored)	1999-10-15	MIT dept. of Univ. of Jyvaskyla	DF925D168B1F9D52	2504448

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-27	Oliver Kruse	C3788F461C34CE5E	1	1835597	5	3
Verified (Factored)	2017-12-10	kkmrkkblmbrbk	C3788F461C34CE5E	1	2670274	5	3
Verified	2018-07-27	_p95holder_	C3788F461C34CE5E	2	2578394	5	3

History

Date	User	Type	Result
2022-03-10	LordJulius	NF	no factor from 2^64 to 2^65
2022-03-10	LordJulius	NF	no factor from 2^63 to 2^64
2022-01-08	Joss	NF-PM1	B1=1000000, B2=116447100
2021-09-01	Dylan Delgado	NF-PM1	B1=1000000, B2=71000000
2021-03-08	Joss	NF	no factor from 2^67 to 2^68
2021-03-08	Joss	NF	no factor from 2^66 to 2^67
2020-06-13	Joss	NF-PM1	B1=301105, B2=3011053, E=6
2018-07-27	_p95holder_	C-PRP	M3011053/2351716048694062111/42596176943218232623 : C3788F461C34CE5E PRP: Verified PRP without proof (not generated)
2018-07-25	TJAOI	F	Factor: 42596176943218232623 / TF: 65-66
2017-12-10	kkmrkkblmbrbk	C-PRP	M3011053/2351716048694062111 : C3788F461C34CE5E PRP: Verified PRP without proof (not generated)
2017-10-27	Oliver Kruse	C-PRP	M3011053/2351716048694062111 : C3788F461C34CE5E PRP: Verified PRP without proof (not generated)
2010-09-06	Sid & Andy	F	Factor: 2351716048694062111
2009-01-26	Jayson King	NF	no factor from 2^60 to 2^61