10 732 493 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
634569381119	12	39.2	old

ECM

Digits	B1	Curves
25	50000	13 / 280

Estimated T-Level: 20.2 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2021-01-04	pieman590	18BF36BFAD514A05	0	4	3
Verified (Factored)	2024-08-16	kkmrkkblmbrbk	3FFC05499983384D	2854948	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-01-05	riccardo uberti	3FFC05499983384D	1	3294587	5	3

History

Date	User	Type	Result
2024-08-16	Luke Durant	CERT	PRP Certification CERT proof power = 8 Proof certified good
2024-08-16	kkmrkkblmbrbk	C-PRP	3FFC05499983384D PRP proof power = 8 PRP: Verified (Factored) Proof certified good
2021-01-05	Ben Delo	CERT	PRP Certification Proof certified good
2021-01-05	riccardo uberti	C-PRP	M10732493/634569381119 : 3FFC05499983384D PRP proof power = 8 PRP: Verified Proof certified good
2021-01-04	pieman590	C-PRP	18BF36BFAD514A05 PRP: Verified (Factored) PRP without proof (not generated)