426 563 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
8609342859635312436658877831	28	92.8	2019-05-07 10:46:30

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	200 / 640

Estimated T-Level: 26.6 ⓘ

TF below 2^83 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	3A1D	0
Verified (Factored)		Jens J Loesel	BC1CD09CB186FA1D	0
Verified (Factored)		Eivind Triel	BC1CD09CB186FA1D	393060
Verified (Factored)	2002-01-02	Dennis Pope	BC1CD09CB186FA1D	284495

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-05-07	Niels_Mache_Nextcloud	B064ECA7A77DDC5E	1	370544	5	3
Verified	2019-05-08	marssystems	B064ECA7A77DDC5E	1	128863	5	3

History

Date	User	Type	Result
2019-05-08	marssystems	C-PRP	M426563/8609342859635312436658877831 : B064ECA7A77DDC5E PRP: Verified PRP without proof (small exponent)
2019-05-07	Niels_Mache_Nextcloud	C-PRP	M426563/8609342859635312436658877831 : B064ECA7A77DDC5E PRP: Verified PRP without proof (small exponent)
2019-05-07	alex	F-ECM	Factor: 8609342859635312436658877831 / (ECM curve 76, B1=250000, B2=25000000, Sigma=3517935997653462)
2018-12-09	Gordon Spence	NF	no factor from 2^65 to 2^66
2018-01-07	BloodERazor	NF	no factor from 2^64 to 2^65
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2015-11-15	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-11-15	Gordon Spence	NF	no factor from 2^62 to 2^63
2013-01-03	markr	NF-PM1	B1=25000000, B2=1000000000, E=12
2012-12-01	dbaugh	NF	no factor from 2^61 to 2^62
2012-11-27	dbaugh	NF	no factor from 2^60 to 2^61
2012-05-29	Joss	NF-PM1	B1=3008257
2011-08-09	Joss	NF-PM1	B1=1002752
2010-08-01	Rob_Dee	NF-PM1	B1=1000000, B2=2000000, E=6
2010-07-31	Rob_Dee	NF-PM1	B1=500000, B2=1000000