2 050 481 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
7045927947218473849654441	25	82.5	2015-10-06 16:32:57

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	237 / 640

Estimated T-Level: 26.9 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)		Ira Machefsky	3A32E10E463B1ABC	0
Verified (Factored)	1999-02-14	Sam Laur	3A32E10E463B1ABC	1807776

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-30	alpertron	2E87AA5B1AB8F17B	1	0	1	3
Verified	2017-10-21	Oliver Kruse	2E87AA5B1AB8F17B	1	1808109	1	3

P-1 factors

Date	Factor	B1	B2
2015-10-06	7045927947218473849654441	500000	15000000

History

Date	User	Type	Result
2022-03-09	LordJulius	NF	no factor from 2^1 to 2^60
2017-10-21	Oliver Kruse	C-PRP	M2050481/7045927947218473849654441 : 2E87AA5B1AB8F17B PRP: Verified PRP without proof (not generated)
2017-09-30	alpertron	C-PRP	M2050481/7045927947218473849654441 : 2E87AA5B1AB8F17B PRP: Verified PRP without proof (not generated)
2016-03-17	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2015-10-06	Bruno Victal	F-PM1	Factor: 7045927947218473849654441 / (P-1, B1=500000, B2=15000000, E=12)
2015-04-13	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-04-13	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-10-22	Joss	NF-PM1	B1=166302
2013-09-01	ramgeis	NF	no factor from 2^62 to 2^63
2012-03-09	Sebastian Hornbostel	NF	no factor from 2^61 to 2^62
2011-01-26	James Heinrich	NF-PM1	B1=135000, B2=2868750, E=6
2011-01-04	Joss	NF-PM1	B1=50000
2010-12-26	Joss	NF-PM1	B1=30000
2009-05-12	Rob_Dee	NF-PM1	B1=20000, B2=280000
2009-01-02	Sturle Sunde	NF	no factor from 2^60 to 2^61