21 854 479 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
3095889693522961156321	22	71.4	2015-07-31 19:33:57

Status	Date	User	Residue	Shift
Bad	2004-05-25	Joel Merritt	158DC738D6C5AE7B	15238723
Verified (Factored)	2004-10-03	Sturle Sunde	288E835AFF218517	18444791
Verified (Factored)	2009-04-14	shaneamy	288E835AFF218517	16003745

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2020-12-19	riccardo uberti	0376082BB7698072	1	16619630	5	3

P-1 factors

Date	Factor	B1	B2
2015-07-31	3095889693522961156321	450000	9500000

History

Date	User	Type	Result
2024-09-27	kkmrkkblmbrbk	NF	no factor from 2^69 to 2^70
2024-09-27	kkmrkkblmbrbk	NF	no factor from 2^68 to 2^69
2020-12-19	curtisc	CERT	PRP Certification Proof certified good
2020-12-19	riccardo uberti	C-PRP	M21854479/3095889693522961156321 : 0376082BB7698072 PRP proof power = 8 PRP: Verified Proof certified good
2015-07-31	riccardo uberti	F-PM1	Factor: 3095889693522961156321 / (P-1, B1=450000, B2=9500000, E=12)
2009-04-14	shaneamy	C-LL	288E835AFF218517