3 458 999 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite: proven not-prime with Lucas-Lehmer test

TF

No factors below 2⁷¹

TF target 2⁶⁴

TF below 2^80 is very unlikely to find new factors due to ECM effort.

P-1

B1 =	8500000
B2 =	21793457070

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	94 / 640

Estimated T-Level: 25.7 ⓘ

Status	Date	User	Residue	Shift
Verified	1998-02-08	Stefan Muth	543FA278211FFAB4	0
Verified	1999-07-04	Phillip Rubin	543FA278211FFAB4	776480

History

Date	User	Type	Result
2025-03-06	TJAOI	NF	no factor from 2^70 to 2^71
2023-05-18	Joss	NF-PM1	B1=1000000, B2=790924680
2023-05-17	Sid & Andy	NF-PM1	B1=8500000, B2=21793457070
2022-04-06	TJAOI	NF	no factor from 2^69 to 2^70
2021-10-25	mikr	NF-PM1	B1=5000000, B2=200000000, E=12
2021-01-06	axn	NF	no factor from 2^68 to 2^69
2019-02-04	TJAOI	NF	no factor from 2^67 to 2^68
2017-02-08	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-04-18	Gordon Spence	NF	no factor from 2^65 to 2^66
2015-02-07	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-02-07	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-09-22	HBendtz	NF-PM1	B1=500000, B2=10000000, E=12
2014-08-21	Joss	NF-PM1	B1=78556
2012-08-18	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-11-07	USAFSS	NF-PM1	B1=60000, B2=990000, E=6
2011-06-02	Rob_Dee	NF	no factor from 2^61 to 2^62
2009-07-03	Carsten Kossendey	NF-PM1	B1=20000, B2=235000
2009-03-20	S485122	NF	no factor from 2^60 to 2^61