421 621 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
88874771205530250242770609991	29	96.2	2019-05-02 10:58:34

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	389 / 640

Estimated T-Level: 28.0 ⓘ

TF below 2^88 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	3242	0
Verified (Factored)		Michael Bryan	DD3E2A2758B03242	0
Verified (Factored)		Eivind Triel	DD3E2A2758B03242	249074
Verified (Factored)	2002-02-03	Dennis Pope	DD3E2A2758B03242	65176

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-05-02	Niels_Mache_Nextcloud	813B2F3E1344E537	1	167059	5	3
Verified	2019-05-03	kkmrkkblmbrbk	813B2F3E1344E537	1	26441	5	3

History

Date	User	Type	Result
2019-05-03	kkmrkkblmbrbk	C-PRP	M421621/88874771205530250242770609991 : 813B2F3E1344E537 PRP: Verified PRP without proof (small exponent)
2019-05-02	Niels_Mache_Nextcloud	C-PRP	M421621/88874771205530250242770609991 : 813B2F3E1344E537 PRP: Verified PRP without proof (small exponent)
2019-05-02	alex	F-ECM	Factor: 88874771205530250242770609991 / (ECM curve 171, B1=250000, B2=25000000, Sigma=2345659416822366)
2018-12-07	Gordon Spence	NF	no factor from 2^65 to 2^66
2017-12-18	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
2015-11-14	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-11-14	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-07-15	NR	NF	no factor from 2^61 to 2^62
2012-08-21	markr	NF-PM1	B1=10000000, B2=400000000, E=12
2012-03-10	Joss	NF-PM1	B1=1272523
2011-12-29	Sid & Andy	NF	no factor from 2^60 to 2^61
2011-08-06	Joss	NF-PM1	B1=1018018
2010-07-22	Rob_Dee	NF-PM1	B1=1000000, B2=2000000, E=6
2010-07-21	Rob_Dee	NF-PM1	B1=500000, B2=1000000