3 595 589 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
13653039668487208473194671850990897	35	113.4	2020-02-11 22:20:25

ECM

Digits	B1	Curves
25	50000	12 / 280

Estimated T-Level: 20.2 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Dan Suslo	E99D7D5DDC97EF20	0
Verified (Factored)	1999-08-07	Hirzo Merenga	E99D7D5DDC97EF20	2594238

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2020-02-14	Luigi Morelli	4B43E3F4891EABD9	1	3337727	5	3
Verified	2020-02-15	marssystems	4B43E3F4891EABD9	1	3019177	5	3

P-1 factors

Date	Factor	B1	B2
2020-02-11	13653039668487208473194671850990897	3000000	90000000

History

Date	User	Type	Result
2022-07-17	Joss	NF-PM1	B1=3595589, B2=3598822500
2022-04-08	Joss	NF-PM1	B1=1000000, B2=130318650
2020-02-15	marssystems	C-PRP	M3595589/13653039668487208473194671850990897 : 4B43E3F4891EABD9 PRP: Verified PRP without proof (not generated)
2020-02-14	Luigi Morelli	C-PRP	M3595589/13653039668487208473194671850990897 : 4B43E3F4891EABD9 PRP: Verified PRP without proof (not generated)
2020-02-11	BigBrother	F-PM1	Factor: 13653039668487208473194671850990897 / (P-1, B1=3000000, B2=90000000, E=12)
2018-07-02	TJAOI	NF	no factor from 2^67 to 2^68
2017-01-24	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-06-04	Squeeky_Squirrel	NF-PM1	B1=225000, B2=6581250, E=12
2016-06-03	Joss	NF-PM1	B1=108000, B2=3240000, E=6
2016-02-24	ramgeis	NF	no factor from 2^65 to 2^66
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2016-02-23	Mark Rose	NF	no factor from 2^1 to 2^60
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
2012-07-02	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2012-01-01	Squeeky_Squirrel	NF-PM1	B1=90000, B2=1620000, E=6
2011-06-08	markr	NF	no factor from 2^61 to 2^62
2009-07-11	Carsten Kossendey	NF-PM1	B1=20000, B2=245000
2009-03-14	S485122	NF	no factor from 2^60 to 2^61