2 286 799 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
14358762695597189407346513	26	83.6	2021-06-16 01:27:15

ECM

Digits	B1	Curves
25	50000	150 / 280

Estimated T-Level: 22.7 ⓘ

TF below 2^70 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		John Lloyd	3F6CC744078270B5	0
Verified (Factored)	1999-03-15	Ethan Hansen	3F6CC744078270B5	1904685
Verified (Factored)	2018-04-28	kkmrkkblmbrbk	3F6CC744078270B5	1478195

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-06-17	kutens	14561F4D91655C74	1	463813	5	3

History

Date	User	Type	Result
2021-06-17	curtisc	CERT	PRP Certification Proof certified good
2021-06-17	kutens	C-PRP	M2286799/14358762695597189407346513 : 14561F4D91655C74 PRP proof power = 7 PRP: Verified Proof certified good
2021-06-16	LaurV	F-ECM	Factor: 14358762695597189407346513 / (ECM curve 1, B1=50000, B2=6750000, Sigma=8447221590527584)
2019-09-30	BigBrother	NF-PM1	B1=3000000, B2=90000000, E=12
2019-07-24	TJAOI	NF	no factor from 2^67 to 2^68
2018-04-28	kkmrkkblmbrbk	C-LL	3F6CC744078270B5
2017-05-20	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^1 to 2^60
2015-12-30	Joss	NF-PM1	B1=360033, B2=3600330, E=6
2015-11-02	ramgeis	NF	no factor from 2^65 to 2^66
2015-03-12	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-03-12	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-10-01	Joss	NF-PM1	B1=141134
2014-06-11	Joss	NF-PM1	B1=113067
2013-08-20	David Campeau	NF	no factor from 2^62 to 2^63
2012-05-11	Sebastian Hornbostel	NF	no factor from 2^61 to 2^62
2011-01-16	Oscar Östlin	NF-PM1	B1=85000, B2=1742500, E=6
2010-10-12	Oscar Östlin	NF-PM1	B1=75011
2009-01-11	Sturle Sunde	NF	no factor from 2^60 to 2^61