4 835 923 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
193436921	9	27.5	old
59088871676124841	17	55.7	2015-02-10 12:19:14
49996369843579542287041	23	75.4	2023-11-10 12:24:56

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)	2017-09-20	kkmrkkblmbrbk	EC9D3B35DA787DD5	2	0	1	3
Verified (Factored)	2018-03-29	Oliver Kruse	EC9D3B35DA787DD5	2	536115	1	3
Verified	2023-11-12	Naegi Makoto	73A85AEE93C36003	3	11860	5	3

P-1 factors

Date	Factor	B1	B2
2023-11-10	49996369843579542287041	240000	100109940

History

Date	User	Type	Result
2023-11-12	Stixxy	CERT	PRP Certification Proof certified good
2023-11-12	Naegi Makoto	C-PRP	M4835923/193436921/59088871676124841/49996369843579542287041 : 73A85AEE93C36003 PRP proof power = 7 PRP: Verified Proof certified good
2023-11-10	USAFSS	F-PM1	Factor: 49996369843579542287041 / (P-1, B1=240000, B2=100109940)
2018-03-29	Oliver Kruse	C-PRP	M4835923/193436921/59088871676124841 : EC9D3B35DA787DD5 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4835923/193436921/59088871676124841 : EC9D3B35DA787DD5 PRP: Verified (Factored) PRP without proof (not generated)
2015-02-10	TJAOI	F	Factor: 59088871676124841 / TF: 55-56