3 662 881 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
3811878318052031	16	51.8	old
3357171073944526246411198349911	31	101.4	2022-09-30 11:31:40

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-11-11	Oliver Kruse	441F0E9980955D65	1	2497712	5	3
Verified (Factored)	2017-12-19	kkmrkkblmbrbk	441F0E9980955D65	1	1493738	5	3
Verified	2022-10-01	LordJulius	441F0E9980955D65	2	993947	5	3

P-1 factors

Date	Factor	B1	B2
2022-09-30	3357171073944526246411198349911	1000000	130364850

History

Date	User	Type	Result
2022-10-01	curtisc	CERT	PRP Certification Proof certified good
2022-10-01	LordJulius	C-PRP	M3662881/3811878318052031/3357171073944526246411198349911 : 441F0E9980955D65 PRP proof power = 7 PRP: Verified Proof certified good
2022-09-30	Joss	F-PM1	Factor: 3357171073944526246411198349911 / (P-1, B1=1000000, B2=130364850)
2022-05-28	Joss	NF-PM1	B1=100000, B2=130364850
2022-03-20	Lisander Viaene	NF-PM1	B1=100000, B2=43664670
2022-03-19	Lisander Viaene	NF-PM1	B1=100000
2017-12-19	kkmrkkblmbrbk	C-PRP	M3662881/3811878318052031 : 441F0E9980955D65 PRP: Verified (Factored) PRP without proof (not generated)
2017-11-11	Oliver Kruse	C-PRP	M3662881/3811878318052031 : 441F0E9980955D65 PRP: Verified (Factored) PRP without proof (not generated)