2 337 163 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
23371631	8	24.5	old
6226202233	10	32.5	2008-07-14 20:23:07
1781697226123499449	19	60.6	2016-02-22 12:51:11
11509201135082636627462168791	29	93.2	2021-04-11 19:00:20

ECM

Digits	B1	Curves
25	50000	227 / 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	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-12	Oliver Kruse	CC436C367AA5C128	3	0	1	3
Verified (Factored)	2017-11-23	ATH	CC436C367AA5C128	3	2029	1	3
Verified	2021-04-12	XZT	CCF9B1D7CCDD232B	4	1134629	5	3

P-1 factors

Date	Factor	B1	B2
2021-04-11	11509201135082636627462168791	5000000	505000000

History

Date	User	Type	Result
2021-04-12	Grady_Beachum	CERT	PRP Certification Proof certified good
2021-04-12	XZT	C-PRP	M2337163/23371631/6226202233/1781697226123499449/11509201135082636627462168791 : CCF9B1D7CCDD232B PRP proof power = 7 PRP: Verified Proof certified good
2021-04-11	ViliamF	F-PM1	Factor: 11509201135082636627462168791 / (P-1, B1=5000000, B2=505000000)
2018-03-18	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2017-11-23	ATH	C-PRP	M2337163/23371631/6226202233/1781697226123499449 : CC436C367AA5C128 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-12	Oliver Kruse	C-PRP	M2337163/23371631/6226202233/1781697226123499449 : CC436C367AA5C128 PRP: Verified (Factored) PRP without proof (not generated)
2016-02-22	TJAOI	F	Factor: 1781697226123499449 / TF: 60-61
2008-07-14	George Woltman	F-ECM	Factor: 6226202233