646 889 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
2278414000593719031465777799	28	90.9	2013-10-22 04:28:45

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	215 / 640

Estimated T-Level: 26.7 ⓘ

TF below 2^84 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	1D52	0
Verified (Factored)		Ricardo Montiel	A411CA992C54DD52	0
Verified (Factored)		Conrad Curry	A411CA992C54DD52	0

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-27	Oliver Kruse	9FF6D4D5F27BEDD5	1	0	1	3
Verified	2017-09-28	Oliver Kruse	9FF6D4D5F27BEDD5	1	0	1	3
Verified	2017-11-09	kkmrkkblmbrbk	9FF6D4D5F27BEDD5	1	603546	1	3
Unverified (Reliable)	2020-04-19	Oliver Kruse	E6B9106744B079__	1	599057	5	3

P-1 factors

Date	Factor	B1	B2
2013-10-22	2278414000593719031465777799	1300000	41600000

History

Date	User	Type	Result
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2020-04-19	Oliver Kruse	C-PRP	M646889/2278414000593719031465777799 : E6B9106744B079__ PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-11-09	kkmrkkblmbrbk	C-PRP	M646889/2278414000593719031465777799 : 9FF6D4D5F27BEDD5 PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-09-28	Oliver Kruse	C-PRP	M646889/2278414000593719031465777799 : 9FF6D4D5F27BEDD5 PRP: Unverified (Reliable) PRP without proof (not generated)
2017-09-27	Oliver Kruse	C-PRP	M646889/2278414000593719031465777799 : 9FF6D4D5F27BEDD5 PRP: Unverified (Reliable) PRP without proof (not generated)
2016-03-17	alpertron	NF-PM1	B1=1000000, B2=30000000, E=12
2013-10-22	David Campeau	F-PM1	Factor: 2278414000593719031465777799
2012-08-11	Joss	NF-PM1	B1=1293778
2012-06-19	Joss	NF-PM1	B1=646937
2011-09-05	Joss	NF-PM1	B1=584397
2011-07-10	Joss	NF-PM1	B1=350638
2011-01-06	Sid & Andy	NF	no factor from 2^60 to 2^61
2008-10-14	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-10-14	Sturle Sunde	NF	no factor from 2^58 to 2^59