1 486 451 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
2972903	7	21.5	old
152308633890719	15	47.1	2008-08-26 20:19:21
21205911378729610613950273	26	84.1	2023-12-19 16:40:05

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	105 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-01	Oliver Kruse	E533FA1B6026A9A1	2	0	1	3
Verified (Factored)	2017-10-28	kkmrkkblmbrbk	E533FA1B6026A9A1	2	210556	1	3
Verified	2023-12-19	Anton Tsvetkov	DD6DADC001DF1751	3	171332	5	3

P-1 factors

Date	Factor	B1	B2
2023-12-19	21205911378729610613950273	5000000	1006114200

History

Date	User	Type	Result
2023-12-19	curtisc	CERT	PRP Certification Proof certified good
2023-12-19	Anton Tsvetkov	C-PRP	M1486451/2972903/152308633890719/21205911378729610613950273 : DD6DADC001DF1751 PRP proof power = 6 PRP: Verified Proof certified good
2023-12-19	Anton Tsvetkov	F-PM1	Factor: 21205911378729610613950273 / (P-1, B1=5000000, B2=1006114200)
2017-10-28	kkmrkkblmbrbk	C-PRP	M1486451/2972903/152308633890719 : E533FA1B6026A9A1 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-01	Oliver Kruse	C-PRP	M1486451/2972903/152308633890719 : E533FA1B6026A9A1 PRP: Verified (Factored) PRP without proof (not generated)
2016-03-17	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2008-08-26	-Anonymous-	F	Factor: 152308633890719