2 724 223 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
65381353	8	26.0	old
174350273	9	27.4	2008-09-07 19:41:16
4794964835207	13	42.1	2008-09-30 14:37:41
10376444512701193919	20	63.2	2016-12-27 12:26:45

ECM

Digits	B1	Curves
25	50000	58 / 280

Estimated T-Level: 21.0 ⓘ

TF below 2^65 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-10-20	Oliver Kruse	65731973C3A56E9C	4	763242	5	3
Verified	2017-12-05	kkmrkkblmbrbk	65731973C3A56E9C	4	2192462	5	3

History

Date	User	Type	Result
2022-11-16	USAFSS	NF-PM1	B1=255000, B2=203416290
2017-12-05	kkmrkkblmbrbk	C-PRP	M2724223/65381353/174350273/4794964835207/10376444512701193919 : 65731973C3A56E9C PRP: Verified PRP without proof (not generated)
2017-10-20	Oliver Kruse	C-PRP	M2724223/65381353/174350273/4794964835207/10376444512701193919 : 65731973C3A56E9C PRP: Verified PRP without proof (not generated)
2016-12-27	TJAOI	F	Factor: 10376444512701193919 / TF: 63-64
2008-09-30	markr	F	Factor: 4794964835207
2008-09-07	Will Edgington	F	Factor: 174350273