2 249 969 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
210187228088181879529	21	67.5	2015-12-06 08:24:55
8154180598615861639286287	25	82.8	2025-03-28 03:42:12

ECM

Digits	B1	Curves
25	50000	232 / 280

Estimated T-Level: 24.1 ⓘ

TF below 2^75 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		nphan	43FD43AA140B6E3A	0
Verified (Factored)		John Borleis III	43FD43AA140B6E3A	0
Verified (Factored)	1999-02-21	stewart danziger	43FD43AA140B6E3A	45369

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-30	alpertron	0F892429D3CBF6A1	1	0	1	3
Verified (Factored)	2017-10-29	Oliver Kruse	0F892429D3CBF6A1	1	353112	1	3
Verified	2025-03-28	Wojciech Florek	8C921C04C07AFE5E	2	1859228	5	3

P-1 factors

Date	Factor	B1	B2
2015-12-06	210187228088181879529	1000000	20000000

History

Date	User	Type	Result
2025-03-28	Laurent_Lampin	CERT	PRP Certification Proof certified good
2025-03-28	Wojciech Florek	C-PRP	M2249969/210187228088181879529/8154180598615861639286287 : 8C921C04C07AFE5E PRP proof power = 7 PRP: Verified Proof certified good
2025-03-28	Wojciech Florek	F-ECM	Factor: 8154180598615861639286287 / (ECM curve 14, B1=89116, B2=54050535, Edwards Sigma=6604079266945655)
2017-10-29	Oliver Kruse	C-PRP	M2249969/210187228088181879529 : 0F892429D3CBF6A1 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-30	alpertron	C-PRP	M2249969/210187228088181879529 : 0F892429D3CBF6A1 PRP: Verified (Factored) PRP without proof (not generated)
2016-05-03	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2015-12-06	Alexander Dubrovin	F-PM1	Factor: 210187228088181879529 / (P-1, B1=1000000, B2=20000000, E=12)
2015-10-27	ramgeis	NF	no factor from 2^65 to 2^66
2015-03-10	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-03-10	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-10-03	Joss	NF-PM1	B1=142054
2014-06-01	Joss	NF-PM1	B1=113527
2013-12-04	LaurV	NF	no factor from 2^62 to 2^63
2012-05-04	Sebastian Hornbostel	NF	no factor from 2^61 to 2^62
2011-01-14	Oscar Östlin	NF-PM1	B1=85000, B2=1636250, E=6
2010-10-20	Oscar Östlin	NF-PM1	B1=75011
2009-01-11	Sturle Sunde	NF	no factor from 2^60 to 2^61