5 082 713 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
78200726017464627699597569	26	86.0	2017-07-25 11:35:15

ECM

Digits	B1	Curves
25	50000	9 / 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)	1998-08-24	Lynn A. Roth	CDB2B6E2C896E66A	0
Verified (Factored)	2000-04-05	Mike	CDB2B6E2C896E66A	1063403

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-28	alpertron	E07C3EFF7D976BFD	1	0	1	3
Verified	2018-01-19	kkmrkkblmbrbk	E07C3EFF7D976BFD	1	32221	1	3

P-1 factors

Date	Factor	B1	B2
2017-07-25	78200726017464627699597569	1500000	45000000

History

Date	User	Type	Result
2018-01-19	kkmrkkblmbrbk	C-PRP	M5082713/78200726017464627699597569 : E07C3EFF7D976BFD PRP: Verified PRP without proof (not generated)
2017-09-28	alpertron	C-PRP	M5082713/78200726017464627699597569 : E07C3EFF7D976BFD PRP: Verified PRP without proof (not generated)
2017-07-25	mikr	F-PM1	Factor: 78200726017464627699597569 / (P-1, B1=1500000, B2=45000000, E=12)
2016-05-24	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^1 to 2^61
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-08-03	snme2pm1	NF	no factor from 2^65 to 2^66
2014-09-15	monst	NF	no factor from 2^64 to 2^65
2014-09-01	kracker	NF	no factor from 2^63 to 2^64
2009-08-21	USAFSS	NF-PM1	B1=55000, B2=907500, E=6
2009-08-08	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2008-12-29	Sturle Sunde	NF	no factor from 2^61 to 2^62