335 453 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
3442199005431344690631571039	28	91.5	2019-03-30 01:41:25

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	404 / 640

Estimated T-Level: 28.2 ⓘ

TF below 2^89 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	5A7E	0
Verified (Factored)		Unknown	5A7E	0
Verified (Factored)		Guillermo Ballester Valor	B3E5B3FD8E9ADA7E	0
Verified (Factored)		Eivind Triel	B3E5B3FD8E9ADA7E	224362
Verified (Factored)	2002-01-15	Dennis Pope	B3E5B3FD8E9ADA7E	203694

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-03-30	bunddog	80A8DE87F7923D2A	1	81293	5	3
Verified	2019-03-30	ATH	80A8DE87F7923D2A	1	148343	5	3

History

Date	User	Type	Result
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2021-06-05	George Woltman	NF-PP1	Start=2/7, B1=30000000, B2=2730000000
2019-03-30	ATH	C-PRP	M335453/3442199005431344690631571039 : 80A8DE87F7923D2A PRP: Verified PRP without proof (small exponent)
2019-03-30	bunddog	C-PRP	M335453/3442199005431344690631571039 : 80A8DE87F7923D2A PRP: Verified PRP without proof (small exponent)
2019-03-30	alex	F-ECM	Factor: 3442199005431344690631571039 / (ECM curve 107, B1=250000, B2=25000000, Sigma=5370215408614179)
2018-01-27	Gordon Spence	NF	no factor from 2^64 to 2^65
2016-08-08	mikr	NF-PM1	B1=60000000, B2=3000000000, E=12
2015-12-11	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-12-11	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-07-23	NR	NF	no factor from 2^61 to 2^62
2013-04-29	Sid & Andy	NF	no factor from 2^60 to 2^61
2012-02-02	alpertron	NF-PM1	B1=10000000, B2=200000000, E=12
2011-08-09	Joss	NF-PM1	B1=1369291
2009-02-06	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-12-28	Sturle Sunde	NF	no factor from 2^58 to 2^59