8 411 089 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
21985892671711080394331864869889	32	104.1	2022-09-16 14:41:49

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)	2000-02-09	Bjørn Roger Larsen	66E6B4097E420A9E	5694213
Verified (Factored)	2002-08-17	Gunnar Schmid	66E6B4097E420A9E	5303546

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-09-23	Perig	D7EB5B017E23E14A	1	1476631	5	3

P-1 factors

Date	Factor	B1	B2
2022-09-16	21985892671711080394331864869889	5000000	2580409650

History

Date	User	Type	Result
2022-09-23	WeakForceBoson	CERT	PRP Certification Proof certified good
2022-09-23	Perig	C-PRP	M8411089/21985892671711080394331864869889 : D7EB5B017E23E14A PRP proof power = 8 PRP: Verified Proof certified good
2022-09-16	yoyorocks1	F-PM1	Factor: 21985892671711080394331864869889 / (P-1, B1=5000000, B2=2580409650)
2021-12-06	-Anonymous-	NF	no factor from 2^72 to 2^73
2021-10-05	SRBase	NF	no factor from 2^71 to 2^72
2021-08-26	SRBase	NF	no factor from 2^70 to 2^71
2021-08-19	SRBase	NF	no factor from 2^69 to 2^70
2020-01-24	TJAOI	NF	no factor from 2^68 to 2^69
2018-02-26	monst	NF	no factor from 2^67 to 2^68
2018-02-04	Squeeky_Squirrel	NF-PM1	B1=485000, B2=14550000, E=12
2016-01-06	snme2pm1	NF	no factor from 2^66 to 2^67
2015-05-25	VictordeHollander	NF	no factor from 2^65 to 2^66
2014-12-03	David Campeau	NF	no factor from 2^64 to 2^65
2014-03-18	lycorn	NF	no factor from 2^64 to 2^65