3 829 831 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
13308178552244110071905903048889185183	38	123.3	2021-01-21 01:42:32

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)		John Lloyd	3A0D35C92079A7BE	0
Bad	2000-03-01	fabrice	61C536D29134CD9D	543164
Verified (Factored)	2001-03-18	Binary Digits	3A0D35C92079A7BE	1821896

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-01-24	Klaus Nordmann	CE909B8E0C36E96A	1	1837175	5	3
Verified	2021-04-04	ATH	CE909B8E0C36E96A	1	846047	5	3

P-1 factors

Date	Factor	B1	B2
2021-01-21	13308178552244110071905903048889185183	15000000	750000000

History

Date	User	Type	Result
2022-07-17	Joss	NF-PM1	B1=3829831, B2=3849900600
2022-01-21	Joss	NF-PM1	B1=1000000, B2=134869350
2021-04-04	Ben Delo	CERT	PRP Certification Proof certified good
2021-04-04	ATH	C-PRP	M3829831/13308178552244110071905903048889185183 : CE909B8E0C36E96A PRP proof power = 7 PRP: Verified Proof certified good
2021-01-24	Klaus Nordmann	C-PRP	M3829831/13308178552244110071905903048889185183 : CE909B8E0C36E96A PRP proof power = 7 PRP: Verified PRP proof never uploaded
2021-01-21	axn	F-PM1	Factor: 13308178552244110071905903048889185183 / (P-1, B1=15000000, B2=750000000)
2020-08-24	TJAOI	NF	no factor from 2^68 to 2^69
2018-09-24	TJAOI	NF	no factor from 2^67 to 2^68
2016-11-19	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-06-13	mikr	NF-PM1	B1=2000000, B2=62000000, E=12
2016-03-05	ramgeis	NF	no factor from 2^65 to 2^66
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2016-02-23	Mark Rose	NF	no factor from 2^1 to 2^60
2015-01-18	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-01-18	VictordeHollander	NF	no factor from 2^63 to 2^64
2012-02-20	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-03-11	markr	NF	no factor from 2^61 to 2^62
2010-09-11	markr	NF-PM1	B1=105000, B2=2257500, E=6
2009-02-28	S485122	NF	no factor from 2^60 to 2^61