8 681 899 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
625096729	9	29.2	old
1916643753225407	16	50.8	2014-06-09 13:33:53
27630313706375628943249	23	74.5	2024-06-29 06:24:29

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2018-12-24	Oliver Kruse	B32EC6A7CD2CBAE7	2	1335053	5	3
Verified (Factored)	2020-08-20	marssystems	B32EC6A7CD2CBAE7	2	4451622	5	3
Verified	2024-07-06	Yves de Wandelaar	B32EC6A7CD2CBAE7	3	3842415	5	3

P-1 factors

Date	Factor	B1	B2
2024-06-29	27630313706375628943249	1433000	2886347100

History

Date	User	Type	Result
2024-07-06	Carlos Pinho	CERT	PRP Certification Proof certified good
2024-07-06	Yves de Wandelaar	C-PRP	M8681899/625096729/1916643753225407/27630313706375628943249 : B32EC6A7CD2CBAE7 PRP proof power = 8 PRP: Verified Proof certified good
2024-06-29	Stef42	F-PM1	Factor: 27630313706375628943249 / (P-1, B1=1433000, B2=2886347100)
2020-08-20	marssystems	C-PRP	M8681899/625096729/1916643753225407 : B32EC6A7CD2CBAE7 PRP: Verified (Factored) PRP without proof (not generated)
2018-12-24	Oliver Kruse	C-PRP	M8681899/625096729/1916643753225407 : B32EC6A7CD2CBAE7 PRP: Verified (Factored) PRP without proof (not generated)
2014-06-09	TJAOI	F	Factor: 1916643753225407