343 411 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
419340743831474033286899017	27	88.4	2019-03-31 10:12:51

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	221 / 640

Estimated T-Level: 26.7 ⓘ

TF below 2^84 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	1CB1	0
Verified (Factored)		Unknown	5CB1	0
Verified (Factored)		Guillermo Ballester Valor	ED8B2CEF5EE2DCB1	0
Verified (Factored)		Eivind Triel	ED8B2CEF5EE2DCB1	159262
Verified (Factored)	2002-01-22	Dennis Pope	ED8B2CEF5EE2DCB1	226675

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-04-01	artorollo	B811CE5D104057B3	1	71070	5	3
Verified	2019-04-01	ATH	B811CE5D104057B3	1	279956	5	3

Assigned

Assigned	User	Work Type	Stage	% Done	Updated	Expired
2024-04-26	debrouxl	factor ECM small		0.00 %	2024-04-28

History

Date	User	Type	Result
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2019-04-01	ATH	C-PRP	M343411/419340743831474033286899017 : B811CE5D104057B3 PRP: Verified PRP without proof (small exponent)
2019-04-01	artorollo	C-PRP	M343411/419340743831474033286899017 : B811CE5D104057B3 PRP: Verified PRP without proof (small exponent)
2019-03-31	alex	F-ECM	Factor: 419340743831474033286899017 / (ECM curve 45, B1=250000, B2=25000000, Sigma=1886592825042206)
2018-02-16	Gordon Spence	NF	no factor from 2^64 to 2^65
2016-10-15	mikr	NF-PM1	B1=60000000, B2=3000000000, E=12
2015-12-26	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-12-26	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-07-25	NR	NF	no factor from 2^61 to 2^62
2013-06-09	Sid & Andy	NF	no factor from 2^60 to 2^61
2012-02-17	alpertron	NF-PM1	B1=10000000, B2=200000000, E=12
2011-08-14	Joss	NF-PM1	B1=1328291
2009-01-24	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-12-31	Sturle Sunde	NF	no factor from 2^58 to 2^59