429 659 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
42889745407578435776709113	26	85.1	2019-05-10 16:31:44

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	203 / 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	2445	0
Verified (Factored)		Chris Hall	65DAB683BD8AE445	0
Verified (Factored)		Eivind Triel	65DAB683BD8AE445	101031
Verified (Factored)	2002-02-17	Dennis Pope	65DAB683BD8AE445	322378

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-05-11	Niels_Mache_Nextcloud	D8BC76B642B2367F	1	60273	5	3
Verified	2019-05-11	kkmrkkblmbrbk	D8BC76B642B2367F	1	321131	5	3

History

Date	User	Type	Result
2019-05-11	kkmrkkblmbrbk	C-PRP	M429659/42889745407578435776709113 : D8BC76B642B2367F PRP: Verified PRP without proof (small exponent)
2019-05-11	Niels_Mache_Nextcloud	C-PRP	M429659/42889745407578435776709113 : D8BC76B642B2367F PRP: Verified PRP without proof (small exponent)
2019-05-10	alex	F-ECM	Factor: 42889745407578435776709113 / (ECM curve 47, B1=250000, B2=25000000, Sigma=8121277327987095)
2018-12-15	Gordon Spence	NF	no factor from 2^65 to 2^66
2018-11-18	Joss	NF-PM1	B1=10554400
2017-12-21	Gordon Spence	NF	no factor from 2^64 to 2^65
2016-06-27	Joss	NF-PM1	B1=10454400, B2=418176000, E=12
2016-06-10	Joss	NF-PM1	B1=10454400, B2=209088000, E=12
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2016-01-05	Joss	NF-PM1	B1=10454400, B2=104544000, E=12
2015-11-28	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-11-28	Gordon Spence	NF	no factor from 2^62 to 2^63
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
2012-07-26	c10ck3r	NF-PM1	B1=5000000, B2=100000000, E=12
2010-08-08	Rob_Dee	NF-PM1	B1=1000000, B2=2000000, E=6
2010-08-07	Rob_Dee	NF-PM1	B1=500000, B2=1000000