3 478 459 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
85147549980404035127	20	66.2	2017-01-06 22:00:56

ECM

Digits	B1	Curves
25	50000	10 / 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)	1997-11-21	Herb Savage	64451AD58C9BB897	0
Verified (Factored)	1999-07-12	Ethan O'Connor	64451AD58C9BB897	705981

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-11-06	kkmrkkblmbrbk	86CB05434FDDBB30	1	1936549	5	3
Verified	2017-11-23	Oliver Kruse	86CB05434FDDBB30	1	1008689	5	3

History

Date	User	Type	Result
2022-01-22	Joss	NF-PM1	B1=1000000, B2=114656850
2021-06-13	Joss	NF	no factor from 2^67 to 2^68
2021-03-19	Joss	NF	no factor from 2^65 to 2^66
2021-03-19	Joss	NF-PM1	B1=347845, B2=3478459, E=6
2021-03-04	Joss	NF-PM1	B1=347845
2017-11-23	Oliver Kruse	C-PRP	M3478459/85147549980404035127 : 86CB05434FDDBB30 PRP: Verified PRP without proof (not generated)
2017-11-06	kkmrkkblmbrbk	C-PRP	M3478459/85147549980404035127 : 86CB05434FDDBB30 PRP: Verified PRP without proof (not generated)
2017-01-06	f0rteOC	F-ECM	Factor: 85147549980404035127
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2016-01-05	ramgeis	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
2014-09-27	HBendtz	NF-PM1	B1=500000, B2=10000000, E=12
2014-08-21	Joss	NF-PM1	B1=78452
2012-08-18	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-11-12	USAFSS	NF-PM1	B1=60000, B2=990000, E=6
2011-07-24	Grant McCracken	NF	no factor from 2^61 to 2^62
2009-07-07	Carsten Kossendey	NF-PM1	B1=20000, B2=240000
2009-03-20	S485122	NF	no factor from 2^60 to 2^61