6 902 381 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
55219049	8	25.7	old
1147106698391	13	40.1	2008-09-08 02:59:07
41508178039581089	17	55.2	2015-01-12 12:13:41
1538151104859747581233	22	70.4	2023-12-26 18:32:35
293571876741756533958113	24	78.0	2023-12-26 22:08:59

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-07	kkmrkkblmbrbk	5F7C278093BBEE01	3	0	1	3
Verified (Factored)	2019-01-22	kracker	5F7C278093BBEE01	3	1312879	1	3
Verified	2023-12-30	Naegi Makoto	5A428A2520278510	5	2106811	5	3

P-1 factors

Date	Factor	B1	B2
2023-12-26	1538151104859747581233	569000	569000
2023-12-26	293571876741756533958113	6000000	33290828340

History

Date	User	Type	Result
2023-12-30	curtisc	CERT	PRP Certification Proof certified good
2023-12-30	Naegi Makoto	C-PRP	M6902381/55219049/1147106698391/41508178039581089/1538151104859747581233/293571876741756533958113 : 5A428A2520278510 PRP proof power = 8 PRP: Verified Proof certified good
2023-12-29	Stef42	NF-PM1	B1=20000000, B2=216195009030
2023-12-26	Stef42	F-PM1	Factor: 293571876741756533958113 / (P-1, B1=6000000, B2=33290828340)
2023-12-26	Stef42	F-PM1	Factor: 1538151104859747581233 / (P-1, B1=569000)
2019-01-22	kracker	C-PRP	M6902381/55219049/1147106698391/41508178039581089 : 5F7C278093BBEE01 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-07	kkmrkkblmbrbk	C-PRP	M6902381/55219049/1147106698391/41508178039581089 : 5F7C278093BBEE01 PRP: Verified (Factored) PRP without proof (not generated)
2015-01-12	TJAOI	F	Factor: 41508178039581089 / TF: 55-56
2008-09-08	Will Edgington	F	Factor: 1147106698391