2 574 623 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
108134167	9	26.7	old
19356375592067227988137	23	74.0	2022-09-02 07:55:30

ECM

Digits	B1	Curves
25	50000	181 / 280

Estimated T-Level: 23.2 ⓘ

TF below 2^72 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-15	Oliver Kruse	321930B26B21987F	1	2366278	5	3
Verified (Factored)	2017-12-01	ATH	321930B26B21987F	1	1314031	5	3
Verified	2022-09-04	Wentao Huang	321930B26B21987F	2	1760142	5	3

P-1 factors

Date	Factor	B1	B2
2022-09-02	19356375592067227988137	300000	248100930

History

Date	User	Type	Result
2022-09-04	curtisc	CERT	PRP Certification Proof certified good
2022-09-04	Wentao Huang	C-PRP	M2574623/108134167/19356375592067227988137 : 321930B26B21987F PRP proof power = 7 PRP: Verified Proof certified good
2022-09-02	USAFSS	F-PM1	Factor: 19356375592067227988137 / (P-1, B1=300000, B2=248100930)
2017-12-01	ATH	C-PRP	M2574623/108134167 : 321930B26B21987F PRP: Verified (Factored) PRP without proof (not generated)
2017-10-15	Oliver Kruse	C-PRP	M2574623/108134167 : 321930B26B21987F PRP: Verified (Factored) PRP without proof (not generated)