4 096 819 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
43598347799	11	35.3	old
18132393499316377	17	54.0	2014-10-27 12:28:22
362790586956557204839	21	68.3	2022-10-16 02:59:30

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)	2017-10-07	kkmrkkblmbrbk	88014027087E5748	2	0	1	3
Verified (Factored)	2018-01-11	Oliver Kruse	88014027087E5748	2	1036146	1	3
Verified	2022-10-22	Funky Waddle	A76989CCB2955D44	3	1920260	5	3

P-1 factors

Date	Factor	B1	B2
2022-10-16	362790586956557204839	200000	135233670

History

Date	User	Type	Result
2022-10-22	Ben Delo	CERT	PRP Certification Proof certified good
2022-10-22	Funky Waddle	C-PRP	M4096819/43598347799/18132393499316377/362790586956557204839 : A76989CCB2955D44 PRP proof power = 7 PRP: Verified Proof certified good
2022-10-16	USAFSS	F-PM1	Factor: 362790586956557204839 / (P-1, B1=200000, B2=135233670)
2018-01-11	Oliver Kruse	C-PRP	M4096819/43598347799/18132393499316377 : 88014027087E5748 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-07	kkmrkkblmbrbk	C-PRP	M4096819/43598347799/18132393499316377 : 88014027087E5748 PRP: Verified (Factored) PRP without proof (not generated)
2014-10-27	TJAOI	F	Factor: 18132393499316377 / TF: 54-55