5 850 209 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
81329511914657	14	46.2	old
34615165885928282113	20	64.9	2018-02-28 13:53:03
12796863727674407546696849	26	83.4	2025-09-07 03:06:35

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-20	kkmrkkblmbrbk	75F83504CDD98D4F	1	0	1	3
Verified (Factored)	2018-02-28	ATH	34C7F29A97973B13	2	5023608	5	3
Verified (Factored)	2018-04-15	kkmrkkblmbrbk	34C7F29A97973B13	2	1286903	5	3
Verified	2025-09-14	kutens	34C7F29A97973B13	3	4384709	5	3

P-1 factors

Date	Factor	B1	B2
2025-09-07	12796863727674407546696849	3300000	6742848840

History

Date	User	Type	Result
2025-09-15	skippyd	CERT	PRP Certification Proof certified good
2025-09-14	kutens	C-PRP	M5850209/81329511914657/34615165885928282113/12796863727674407546696849 : 34C7F29A97973B13 PRP proof power = 7 PRP: Verified Proof certified good
2025-09-07	Sid & Andy	F-PM1	Factor: 12796863727674407546696849 / (P-1, B1=3300000, B2=6742848840)
2023-05-12	This -Anonymous-	NF-PM1	B1=50000, B2=1000000, E=6
2018-04-15	kkmrkkblmbrbk	C-PRP	M5850209/81329511914657/34615165885928282113 : 34C7F29A97973B13 PRP: Verified (Factored) PRP without proof (not generated)
2018-02-28	ATH	C-PRP	M5850209/81329511914657/34615165885928282113 : 34C7F29A97973B13 PRP: Verified (Factored) PRP without proof (not generated)
2018-02-28	TJAOI	F	Factor: 34615165885928282113 / TF: 64-65
2017-09-20	kkmrkkblmbrbk	C-PRP	M5850209/81329511914657 : 75F83504CDD98D4F PRP: Verified (Factored) PRP without proof (not generated)