354 461 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
4273734368990279813298568247	28	91.8	2019-03-15 09:44:37

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	254 / 640

Estimated T-Level: 27.0 ⓘ

TF below 2^85 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	31E9	0
Verified (Factored)		Ken Kriesel	7DBDA2EEBFE371E9	0
Verified (Factored)		Brian J. Beesley	7DBDA2EEBFE371E9	0
Verified (Factored)		Eivind Triel	7DBDA2EEBFE371E9	117378
Verified (Factored)	2016-06-01	MadPoo	7DBDA2EEBFE371E9	235298

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-03-16	artorollo	AAB11D73BA1986B0	1	15297	5	3
Verified	2019-03-16	ANONYMOUS	AAB11D73BA1986B0	1	83792	5	3
Verified	2019-03-19	Luigi Morelli	AAB11D73BA1986B0	1	127605	5	3

History

Date	User	Type	Result
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2019-03-19	Luigi Morelli	C-PRP	M354461/4273734368990279813298568247 : AAB11D73BA1986B0 PRP: Verified PRP without proof (small exponent)
2019-03-16	ANONYMOUS	C-PRP	M354461/4273734368990279813298568247 : AAB11D73BA1986B0 PRP: Verified PRP without proof (small exponent)
2019-03-16	artorollo	C-PRP	M354461/4273734368990279813298568247 : AAB11D73BA1986B0 PRP: Verified PRP without proof (small exponent)
2019-03-15	alex	F-ECM	Factor: 4273734368990279813298568247 / (ECM curve 4, B1=250000, B2=25000000, Sigma=3072980432636864)
2018-02-17	Gordon Spence	NF	no factor from 2^64 to 2^65
2016-11-15	mikr	NF-PM1	B1=60000000, B2=3000000000, E=12
2016-06-01	MadPoo	C-LL	7DBDA2EEBFE371E9
2015-12-19	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-12-19	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-07-26	NR	NF	no factor from 2^61 to 2^62
2013-05-21	lycorn	NF	no factor from 2^60 to 2^61
2012-03-02	alpertron	NF-PM1	B1=10000000, B2=200000000, E=12
2011-08-09	Joss	NF-PM1	B1=1274851
2009-01-26	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-12-29	Sturle Sunde	NF	no factor from 2^58 to 2^59