2 235 257 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
17882057	8	24.1	old
10179606256271	14	43.2	2008-08-26 20:20:52
991297711202593	15	49.8	2014-05-14 11:31:27
13103678489999123536247	23	73.5	2025-04-24 11:40:44

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	173 / 640

Estimated T-Level: 26.4 ⓘ

TF below 2^83 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-10	Oliver Kruse	FB42CEBC651EFDEF	3	0	1	3
Verified (Factored)	2017-11-20	kkmrkkblmbrbk	FB42CEBC651EFDEF	3	1930961	1	3
Verified	2025-04-24	feather	00C9701D29B9CDDA	4	16034	5	3

History

Date	User	Type	Result
2025-04-24	Pappy	CERT	PRP Certification Proof certified good
2025-04-24	feather	C-PRP	M2235257/17882057/10179606256271/991297711202593/13103678489999123536247 : 00C9701D29B9CDDA PRP proof power = 7 PRP: Verified Proof certified good
2025-04-24	feather	F-ECM	Factor: 13103678489999123536247 / (ECM curve 11, B1=92381, B2=54450660, Edwards Sigma=4585704418964099)
2017-11-20	kkmrkkblmbrbk	C-PRP	M2235257/17882057/10179606256271/991297711202593 : FB42CEBC651EFDEF PRP: Verified (Factored) PRP without proof (not generated)
2017-10-10	Oliver Kruse	C-PRP	M2235257/17882057/10179606256271/991297711202593 : FB42CEBC651EFDEF PRP: Verified (Factored) PRP without proof (not generated)
2016-04-18	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2014-05-14	TJAOI	F	Factor: 991297711202593
2008-08-26	-Anonymous-	F	Factor: 10179606256271