6 910 759 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
18825380669791290935518679	26	84.0	2021-12-01 11:15:21

ECM

Digits	B1	Curves
25	50000	6 / 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)	1999-08-22	Carlos Pochiero	457B35E7584FE8E5	6313662
Verified (Factored)	2001-09-10	Tom Stafford	457B35E7584FE8E5	2758645

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-12-08	GAN	99F50755A6063FF3	1	1556265	5	3

P-1 factors

Date	Factor	B1	B2
2021-12-01	18825380669791290935518679	4000000	414323910

History

Date	User	Type	Result
2021-12-08	curtisc	CERT	PRP Certification Proof certified good
2021-12-08	GAN	C-PRP	M6910759/18825380669791290935518679 : 99F50755A6063FF3 PRP proof power = 8 PRP: Verified Proof certified good
2021-12-01	Seth_Tr	F-PM1	Factor: 18825380669791290935518679 / (P-1, B1=4000000, B2=414323910)
2021-11-24	Seth_Tr	NF-PM1	B1=4000000, B2=110000000, E=12
2021-09-26	SRBase	NF	no factor from 2^71 to 2^72
2021-08-10	SRBase	NF	no factor from 2^70 to 2^71
2021-07-14	takahashi	NF	no factor from 2^69 to 2^70
2020-01-09	takahashi	NF-PM1	B1=600000, B2=12000000, E=12
2019-12-16	mnd9	NF	no factor from 2^68 to 2^69
2018-02-25	-Anonymous-	NF	no factor from 2^67 to 2^68
2016-04-01	Gordon Spence	NF	no factor from 2^66 to 2^67
2015-06-26	VictordeHollander	NF	no factor from 2^65 to 2^66
2014-02-17	lycorn	NF	no factor from 2^64 to 2^65
2014-02-09	Nesowa	NF	no factor from 2^63 to 2^64
2011-11-21	James Heinrich	NF-PM1	B1=130000, B2=2665000, E=6