4 451 827 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
550138973353	12	39.0	old
14671611166131928570753	23	73.6	2021-08-06 16:55:43

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	16BA8BB98F2D82BE	1	0	1	3
Verified (Factored)	2018-02-14	Oliver Kruse	16BA8BB98F2D82BE	1	796009	1	3
Verified	2021-08-09	/r/counting	05702C1F2D32D47B	2	2969758	5	3

P-1 factors

Date	Factor	B1	B2
2021-08-06	14671611166131928570753	1000000	71000000

History

Date	User	Type	Result
2021-08-09	riverdog5	CERT	PRP Certification Proof certified good
2021-08-09	/r/counting	C-PRP	M4451827/550138973353/14671611166131928570753 : 05702C1F2D32D47B PRP proof power = 7 PRP: Verified Proof certified good
2021-08-06	Dylan Delgado	F-PM1	Factor: 14671611166131928570753 / (P-1, B1=1000000, B2=71000000)
2018-02-14	Oliver Kruse	C-PRP	M4451827/550138973353 : 16BA8BB98F2D82BE PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4451827/550138973353 : 16BA8BB98F2D82BE PRP: Verified (Factored) PRP without proof (not generated)