10 885 409 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
35453528280303174852071	23	74.9	2017-01-09 03:00:40

ECM

Digits	B1	Curves
25	50000	2 / 280

Estimated T-Level: 20.0 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)	2000-11-15	Katrina Archer	8114D669B8CD415E	4537920
Verified (Factored)	2004-03-26	Brian Smith	8114D669B8CD415E	4091681

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-03-21	arnaud	FA083009F358C902	1	5310095	5	3
Verified	2021-03-23	LaurV	FA083009F358C902	1	5207962	5	3

History

Date	User	Type	Result
2021-03-23	Simon Josefsson	CERT	PRP Certification Proof certified good
2021-03-23	LaurV	C-PRP	M10885409/35453528280303174852071 : FA083009F358C902 PRP proof power = 8 PRP: Verified Proof certified good
2021-03-21	arnaud	C-PRP	M10885409/35453528280303174852071 : FA083009F358C902 PRP: Verified PRP without proof (not generated)
2017-01-09	arnaud	F-ECM	Factor: 35453528280303174852071 / (ECM curve 1, B1=50000, B2=5000000)
2015-12-11	VictordeHollander	NF	no factor from 2^66 to 2^67
2015-05-18	Tha	NF	no factor from 2^65 to 2^66
2011-10-08	James Heinrich	NF-PM1	B1=195000, B2=4192500, E=6
2011-09-25	James Heinrich	NF	no factor from 2^64 to 2^65