427 213 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
7814688302481380022017991785881	31	102.6	2019-05-10 16:23:40

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	528 / 640

Estimated T-Level: 29.1 ⓘ

TF below 2^92 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	3CD6	0
Verified (Factored)		Marinus van den Heuvel	6BB885C2EFA03CD6	0
Verified (Factored)		Eivind Triel	6BB885C2EFA03CD6	8132
Verified (Factored)	2002-02-10	Dennis Pope	6BB885C2EFA03CD6	11238

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-05-11	Niels_Mache_Nextcloud	7ECEE12563715C14	1	7929	5	3
Verified	2019-05-11	kkmrkkblmbrbk	7ECEE12563715C14	1	331205	5	3

History

Date	User	Type	Result
2019-05-11	kkmrkkblmbrbk	C-PRP	M427213/7814688302481380022017991785881 : 7ECEE12563715C14 PRP: Verified PRP without proof (small exponent)
2019-05-11	Niels_Mache_Nextcloud	C-PRP	M427213/7814688302481380022017991785881 : 7ECEE12563715C14 PRP: Verified PRP without proof (small exponent)
2019-05-10	alex	F-ECM	Factor: 7814688302481380022017991785881 / (ECM curve 415, B1=250000, B2=25000000, Sigma=2244121656906744)
2018-12-09	Gordon Spence	NF	no factor from 2^65 to 2^66
2017-12-21	Gordon Spence	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
2013-01-06	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=3002324
2011-08-09	Joss	NF-PM1	B1=1000774
2010-08-03	Rob_Dee	NF-PM1	B1=1000000, B2=2000000, E=6
2010-08-02	Rob_Dee	NF-PM1	B1=500000, B2=1000000