4 385 281 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
22086480424095894236730905158781935969	38	124.1	2022-12-23 13:26:07

ECM

Digits	B1	Curves
25	50000	12 / 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)		Dax Prather	5E58D01123ACB7BE	0
Verified (Factored)	2000-02-16	Ian Binder	5E58D01123ACB7BE	1246431

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-12-30	kutens	3AA9732B62C4DBE1	1	1104063	5	3

P-1 factors

Date	Factor	B1	B2
2022-12-23	22086480424095894236730905158781935969	6200000	28879919250

History

Date	User	Type	Result
2022-12-30	ANONYMOUS	CERT	PRP Certification Proof certified good
2022-12-30	kutens	C-PRP	M4385281/22086480424095894236730905158781935969 : 3AA9732B62C4DBE1 PRP proof power = 7 PRP: Verified Proof certified good
2022-12-23	DRobinsonPE	F-PM1	Factor: 22086480424095894236730905158781935969 / (P-1, B1=6200000, B2=28879919250)
2021-02-11	-Anonymous-	NF	no factor from 2^72 to 2^73
2021-01-30	-Anonymous-	NF	no factor from 2^71 to 2^72
2021-01-30	-Anonymous-	NF	no factor from 2^70 to 2^71
2021-01-25	-Anonymous-	NF	no factor from 2^69 to 2^70
2021-01-25	-Anonymous-	NF	no factor from 2^68 to 2^69
2018-10-29	chuenkit	NF	no factor from 2^67 to 2^68
2018-05-04	chuenkit	NF	no factor from 2^66 to 2^67
2017-04-24	Squeeky_Squirrel	NF-PM1	B1=270000, B2=7965000, E=12
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-06-20	snme2pm1	NF	no factor from 2^65 to 2^66
2014-07-23	lycorn	NF	no factor from 2^64 to 2^65
2014-07-22	Jayder	NF	no factor from 2^63 to 2^64
2012-02-29	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2012-01-09	Squeeky_Squirrel	NF-PM1	B1=110000, B2=2255000, E=6
2010-11-11	markr	NF	no factor from 2^61 to 2^62
2009-07-26	Carsten Kossendey	NF-PM1	B1=25000, B2=356250