4 468 687 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
83419756569036734733924161	26	86.1	2016-12-17 08:27:42

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)	1998-03-31	Steve Wirtz	15C378DFCBA8A6D5	0
Verified (Factored)	2001-01-08	Marc Getty / Phil Fizur	15C378DFCBA8A6D5	530071

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-11-17	Oliver Kruse	A1BFA1FC10565E09	1	3655180	5	3
Verified	2018-01-01	kkmrkkblmbrbk	A1BFA1FC10565E09	1	1683809	5	3

P-1 factors

Date	Factor	B1	B2
2016-12-17	83419756569036734733924161	1800000	68000000

History

Date	User	Type	Result
2018-01-01	kkmrkkblmbrbk	C-PRP	M4468687/83419756569036734733924161 : A1BFA1FC10565E09 PRP: Verified PRP without proof (not generated)
2017-11-17	Oliver Kruse	C-PRP	M4468687/83419756569036734733924161 : A1BFA1FC10565E09 PRP: Verified PRP without proof (not generated)
2016-12-17	mikr	F-PM1	Factor: 83419756569036734733924161 / (P-1, B1=1800000, B2=68000000, E=12)
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-06-25	snme2pm1	NF	no factor from 2^65 to 2^66
2014-09-22	monst	NF	no factor from 2^64 to 2^65
2014-09-22	Jayder	NF	no factor from 2^63 to 2^64
2012-02-03	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-10-08	markr	NF	no factor from 2^61 to 2^62
2010-08-28	markr	NF-PM1	B1=95000, B2=2090000, E=6