2 564 459 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁶³

Factored

Factor	Digits	Bits	Date
1278800713403542576131437807	28	90.0	2016-05-14 03:08:10

P-1 factors

Date	Factors	B1	B2
2016-05-14	1278800713403542576131437807	3200000	112000000

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	58 / 640

Estimated T-Level: 25.5 ⓘ

TF below 2^80 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift	Software
Factored		Joe Decker	A929523D4FF8886C	0	Windows,Prime95,v13,(aka WP1)
Factored	1999-07-04	Robert Mutschler	A929523D4FF8886C	1218533	Windows,Prime95,v18,(aka WU1)

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	PRP without proof (not generated)	2017-10-15	Oliver Kruse	2978BAD9C580BDAD	1	1565908	5	3
Verified	PRP without proof (not generated)	2017-12-01	storm5510	2978BAD9C580BDAD	1	1185055	5	3

History

Date	User	Type	Result
2017-12-01	storm5510	C-PRP	M2564459/1278800713403542576131437807 : 2978BAD9C580BDAD
2017-10-15	Oliver Kruse	C-PRP	M2564459/1278800713403542576131437807 : 2978BAD9C580BDAD
2016-05-14	mikr	F-PM1	Factor: 1278800713403542576131437807 / B1=3200000, B2=112000000
2016-02-23	Mark Rose	NF	no factor TF: 59-60
2015-11-08	ramgeis	NF	no factor TF: 65-66
2015-02-23	VictordeHollander	NF	no factor TF: 64-65
2015-02-23	VictordeHollander	NF	no factor TF: 63-64
2013-01-23	dbaugh	NF	no factor TF: 62-63
2012-06-17	Sebastian Hornbostel	NF	no factor TF: 61-62
2011-04-16	James Heinrich	NF-PM1	B1=175000, B2=4112500, E=6
2011-01-10	Joss	NF-PM1	B1=50000
2011-01-03	Joss	NF-PM1	B1=30000
2010-12-21	Joss	NF-PM1	B1=20000
2009-02-01	Sturle Sunde	NF	no factor TF: 60-61
2003-11-08	Team Prime Rib	NF-PM1	B1=15000, B2=198750
2003-10-23	-anonymous-	NF-PM1	B1=2048, B2=204800
1999-07-04	bezahar	C-LL	A929523D4FF8886C
1999-03-15	-anonymous-	NF	no factor TF: 1-59