4 835 297 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
851012273	9	29.7	old
2481782141138069689	19	61.1	2016-04-01 11:30:34
9671614367489063709089	22	73.0	2023-11-09 20:59:38

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	02BE24D57E732F97	2	0	1	3
Verified (Factored)	2018-03-29	Oliver Kruse	02BE24D57E732F97	2	3136120	1	3
Verified	2023-11-09	Naegi Makoto	4DF5E77F1C2CDA63	3	1223783	5	3

P-1 factors

Date	Factor	B1	B2
2023-11-09	9671614367489063709089	240000	100109940

History

Date	User	Type	Result
2023-11-09	Schnell Lab	CERT	PRP Certification Proof certified good
2023-11-09	Naegi Makoto	C-PRP	M4835297/851012273/2481782141138069689/9671614367489063709089 : 4DF5E77F1C2CDA63 PRP proof power = 7 PRP: Verified Proof certified good
2023-11-09	USAFSS	F-PM1	Factor: 9671614367489063709089 / (P-1, B1=240000, B2=100109940)
2018-03-29	Oliver Kruse	C-PRP	M4835297/851012273/2481782141138069689 : 02BE24D57E732F97 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4835297/2481782141138069689/851012273 : 02BE24D57E732F97 PRP: Verified (Factored) PRP without proof (not generated)
2016-04-01	TJAOI	F	Factor: 2481782141138069689 / TF: 61-62