2 091 889 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
9227923215542359	16	53.0	old
64407690544097183	17	55.8	2015-02-18 12:11:01
123463815228092347857600041	27	86.7	2022-10-07 00:38:42

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	157 / 640

Estimated T-Level: 26.2 ⓘ

TF below 2^82 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-06	Oliver Kruse	827BFE4AE177E00F	2	0	1	3
Verified (Factored)	2017-11-16	kkmrkkblmbrbk	827BFE4AE177E00F	2	2009811	1	3
Verified	2022-10-09	LordJulius	7E48B0F785A575F1	3	2052796	5	3

History

Date	User	Type	Result
2022-10-09	Khurshid Suyunov	CERT	PRP Certification Proof certified good
2022-10-09	LordJulius	C-PRP	M2091889/9227923215542359/64407690544097183/123463815228092347857600041 : 7E48B0F785A575F1 PRP proof power = 7 PRP: Verified Proof certified good
2022-10-07	Stef42	F-ECM	Factor: 123463815228092347857600041 / (ECM curve 6, B1=50000, B2=45039225, Sigma=1796993119655939)
2017-11-16	kkmrkkblmbrbk	C-PRP	M2091889/9227923215542359/64407690544097183 : 827BFE4AE177E00F PRP: Verified (Factored) PRP without proof (not generated)
2017-10-06	Oliver Kruse	C-PRP	M2091889/9227923215542359/64407690544097183 : 827BFE4AE177E00F PRP: Verified (Factored) PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2015-02-18	TJAOI	F	Factor: 64407690544097183 / TF: 55-56