5 250 281 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
3362456332429351146976199626332809	34	111.4	2019-03-27 11:53:19

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)	1999-08-16	Robert Clark	F334ED4040FEEB6E	3310195
Verified (Factored)	2001-02-11	Michael Lyons	F334ED4040FEEB6E	1561370

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-03-28	_p95holder_	97E13ECE106F3B19	1	3320008	5	3
Verified	2019-03-30	arnaud	97E13ECE106F3B19	1	3411354	5	3

P-1 factors

Date	Factor	B1	B2
2019-03-27	3362456332429351146976199626332809	315000	9213750

History

Date	User	Type	Result
2019-03-30	arnaud	C-PRP	M5250281/3362456332429351146976199626332809 : 97E13ECE106F3B19 PRP: Verified PRP without proof (not generated)
2019-03-28	_p95holder_	C-PRP	M5250281/3362456332429351146976199626332809 : 97E13ECE106F3B19 PRP: Verified PRP without proof (not generated)
2019-03-27	USAFSS	F-PM1	Factor: 3362456332429351146976199626332809 / (P-1, B1=315000, B2=9213750, E=12)
2018-06-17	ramgeis	NF	no factor from 2^67 to 2^68
2016-06-03	Gordon Spence	NF	no factor from 2^66 to 2^67
2015-08-12	snme2pm1	NF	no factor from 2^65 to 2^66
2014-12-19	VictordeHollander	NF	no factor from 2^64 to 2^65
2014-12-19	VictordeHollander	NF	no factor from 2^63 to 2^64
2009-10-13	USAFSS	NF-PM1	B1=60000, B2=975000, E=6
2009-06-09	GrunwalderGIMP	NF	no factor from 2^62 to 2^63