343 309 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
1455566379155900800475615606071	31	100.2	2019-03-28 23:47:56

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	343 / 640

Estimated T-Level: 27.7 ⓘ

TF below 2^87 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	AC2	0
Verified (Factored)		Unknown	4AC2	0
Verified (Factored)		Guillermo Ballester Valor	AD18D8564C96CAC2	0
Verified (Factored)		Eivind Triel	AD18D8564C96CAC2	213005
Verified (Factored)	2002-01-22	Dennis Pope	AD18D8564C96CAC2	320872

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-03-29	artorollo	E6681517D11E1F5A	1	48904	5	3
Verified	2019-03-31	arnaud	E6681517D11E1F5A	1	92527	5	3

History

Date	User	Type	Result
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2019-03-31	arnaud	C-PRP	M343309/1455566379155900800475615606071 : E6681517D11E1F5A PRP: Verified PRP without proof (small exponent)
2019-03-29	artorollo	C-PRP	M343309/1455566379155900800475615606071 : E6681517D11E1F5A PRP: Verified PRP without proof (small exponent)
2019-03-28	alex	F-ECM	Factor: 1455566379155900800475615606071 / (ECM curve 38, B1=250000, B2=25000000, Sigma=8209112989514700)
2018-02-16	Gordon Spence	NF	no factor from 2^64 to 2^65
2016-10-13	mikr	NF-PM1	B1=60000000, B2=3000000000, E=12
2015-12-16	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-12-16	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-07-25	NR	NF	no factor from 2^61 to 2^62
2013-06-08	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=1328802
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