2 983 769 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
13677597097	11	33.7	old
253794302218015988041	21	67.8	2023-02-23 13:28:20
202147745187145782715399	24	77.4	2018-06-09 16:54:50

ECM

Digits	B1	Curves
25	50000	99 / 280

Estimated T-Level: 21.8 ⓘ

TF below 2^67 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-26	Oliver Kruse	BA9B7801A85A871D	1	2475589	5	3
Verified (Factored)	2017-12-10	kkmrkkblmbrbk	BA9B7801A85A871D	1	1056513	5	3
Verified (Factored)	2018-06-16	GunnarLu	BA9B7801A85A871D	2	2307244	5	3
Verified	2023-02-23	LordJulius	BA9B7801A85A871D	3	2043537	5	3

P-1 factors

Date	Factor	B1	B2
2023-02-23	253794302218015988041	360000	298405800

History

Date	User	Type	Result
2023-02-23	hooiberg	CERT	PRP Certification Proof certified good
2023-02-23	LordJulius	C-PRP	M2983769/13677597097/253794302218015988041/202147745187145782715399 : BA9B7801A85A871D PRP proof power = 7 PRP: Verified Proof certified good
2023-02-23	USAFSS	F-PM1	Factor: 253794302218015988041 / (P-1, B1=360000, B2=298405800)
2018-06-16	GunnarLu	C-PRP	M2983769/13677597097/202147745187145782715399 : BA9B7801A85A871D PRP: Verified (Factored) PRP without proof (not generated)
2018-06-09	Oliver Kruse	F-ECM	Factor: 202147745187145782715399 / (ECM curve 2, B1=50000, B2=5000000)
2017-12-10	kkmrkkblmbrbk	C-PRP	M2983769/13677597097 : BA9B7801A85A871D PRP: Verified (Factored) PRP without proof (not generated)
2017-10-26	Oliver Kruse	C-PRP	M2983769/13677597097 : BA9B7801A85A871D PRP: Verified (Factored) PRP without proof (not generated)