10 108 391 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
68133467251337496649	20	65.9	2015-04-13 10:56:28

ECM

Digits	B1	Curves
25	50000	1 / 280

Estimated T-Level: 20.0 ⓘ

TF below 2^61 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	2000-05-31	Michael H. Ward	8FF77A6933AD6E52	0
Verified (Factored)	2003-12-23	Martti Järvi	8FF77A6933AD6E52	5412597

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2020-01-13	ANONYMOUS	DAB9A24D5A21A575	1	9413227	5	3
Verified	2021-01-30	marssystems	DAB9A24D5A21A575	1	8259972	5	3

History

Date	User	Type	Result
2022-03-13	LordJulius	NF	no factor from 2^66 to 2^67
2022-03-07	ViliamF	NF	no factor from 2^67 to 2^68
2021-01-30	ANONYMOUS	CERT	PRP Certification Proof certified good
2021-01-30	marssystems	C-PRP	M10108391/68133467251337496649 : DAB9A24D5A21A575 PRP proof power = 8 PRP: Verified Proof certified good
2020-01-13	ANONYMOUS	C-PRP	M10108391/68133467251337496649 : DAB9A24D5A21A575 PRP: Verified PRP without proof (not generated)
2015-04-13	S00030	F-ECM	Factor: 68133467251337496649 / (ECM curve 1, B1=50000, B2=5000000)
2013-04-28	Nesowa	NF-PM1	B1=115000, B2=1983750, E=6
2011-09-26	David Campeau	NF	no factor from 2^64 to 2^65