9 998 743 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
159979889	9	27.3	old
19453205164701983	17	54.1	2014-11-04 12:09:29
302628153424542051288769	24	78.0	2025-09-07 22:24:47
124469222455917622603622719	27	86.7	2025-09-07 22:24:47

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2019-12-02	ATH	544037A52C3AB906	2	1957149	5	3
Verified (Factored)	2021-01-15	rucio	544037A52C3AB906	2	8420347	5	3
Verified	2025-09-14	Michel Yamagishi	544037A52C3AB906	4	5410242	5	3

P-1 factors

Date	Factor	B1	B2
2025-09-07	37667890950022893072438772046366832116082197942911	5630518	10723240710

History

Date	User	Type	Result
2025-09-14	Fabrice Bellet	CERT	PRP Certification Proof certified good
2025-09-14	Michel Yamagishi	C-PRP	M9998743/159979889/19453205164701983/302628153424542051288769/124469222455917622603622719 : 544037A52C3AB906 PRP proof power = 8 PRP: Verified Proof certified good
2025-09-07	Elysia	F-PM1	Factors: 302628153424542051288769,124469222455917622603622719 / (P-1, B1=5630518, B2=10723240710)
2021-01-15	Pieter	CERT	PRP Certification Proof certified good
2021-01-15	rucio	C-PRP	M9998743/159979889/19453205164701983 : 544037A52C3AB906 PRP proof power = 8 PRP: Verified (Factored) Proof certified good
2019-12-02	ATH	C-PRP	M9998743/159979889/19453205164701983 : 544037A52C3AB906 PRP: Verified (Factored) PRP without proof (not generated)
2014-11-04	TJAOI	F	Factor: 19453205164701983 / TF: 54-55