2 118 917 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
50854009	8	25.6	old
5288816833	10	32.3	2008-07-14 20:20:34
226542801626853082622959	24	77.6	2024-10-04 08:38:45
12224172285307861212488527	26	83.3	2022-07-04 20:52:32

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	168 / 640

Estimated T-Level: 26.3 ⓘ

TF below 2^82 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-07	Oliver Kruse	0E3CE753E1BAABC5	2	0	1	3
Verified (Factored)	2017-11-17	kkmrkkblmbrbk	0E3CE753E1BAABC5	2	1505476	1	3
Verified (Factored)	2022-07-07	matzetoni	C340C88270EC0D43	3	1782685	5	3
Verified (Factored)	2022-07-08	_p95holder_	C340C88270EC0D43	3	1726754	5	3
Verified	2024-10-04	Naegi Makoto	C340C88270EC0D43	4	571718	5	3

History

Date	User	Type	Result
2024-10-04	spica	CERT	PRP Certification Proof certified good
2024-10-04	Naegi Makoto	C-PRP	M2118917/50854009/5288816833/12224172285307861212488527/226542801626853082622959 : C340C88270EC0D43 PRP proof power = 7 PRP: Verified Proof certified good
2024-10-04	TJAOI	F-ECM	Factor: 226542801626853082622959 / (ECM curve 28, B1=250000, B2=303566445, Edwards Sigma=5453598030565017)
2022-07-08	_p95holder_	C-PRP	M2118917/50854009/5288816833/12224172285307861212488527 : C340C88270EC0D43 PRP: Verified (Factored) PRP without proof (not generated)
2022-07-07	VikkiMtF	CERT	PRP Certification Proof certified good
2022-07-07	matzetoni	C-PRP	M2118917/50854009/5288816833/12224172285307861212488527 : C340C88270EC0D43 PRP proof power = 7 PRP: Verified (Factored) Proof certified good
2022-07-04	_p95holder_	F-ECM	Factor: 12224172285307861212488527 / (ECM curve 1, B1=50000, B2=5000000)
2017-11-17	kkmrkkblmbrbk	C-PRP	M2118917/50854009/5288816833 : 0E3CE753E1BAABC5 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-07	Oliver Kruse	C-PRP	M2118917/50854009/5288816833 : 0E3CE753E1BAABC5 PRP: Verified (Factored) PRP without proof (not generated)
2016-03-27	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2008-07-14	George Woltman	F-ECM	Factor: 5288816833