1 851 407 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
625775567	9	29.2	old
590019308792284662503	21	69.0	2021-02-08 23:27:54
1951665914106416841313	22	70.7	2015-07-05 12:54:53

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	106 / 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)	2017-09-30	alpertron	25A70137044EE5BC	2	0	1	3
Verified (Factored)	2017-10-20	Oliver Kruse	25A70137044EE5BC	2	896981	1	3
Verified	2021-02-09	MarkS	BEF9D98BCB7A12D1	3	922765	5	3

P-1 factors

Date	Factor	B1	B2
2015-07-05	1951665914106416841313	500000	15000000

History

Date	User	Type	Result
2021-02-10	Ben Delo	CERT	PRP Certification Proof certified good
2021-02-09	MarkS	C-PRP	M1851407/625775567/1951665914106416841313/590019308792284662503 : BEF9D98BCB7A12D1 PRP proof power = 7 PRP: Verified Proof certified good
2021-02-08	_p95holder_	F-ECM	Factor: 590019308792284662503 / (ECM curve 5, B1=50000, B2=5000000)
2017-10-20	Oliver Kruse	C-PRP	M1851407/625775567/1951665914106416841313 : 25A70137044EE5BC PRP: Verified (Factored) PRP without proof (not generated)
2017-09-30	alpertron	C-PRP	M1851407/1951665914106416841313/625775567 : 25A70137044EE5BC PRP: Verified (Factored) PRP without proof (not generated)
2015-07-05	alpertron	F-PM1	Factor: 1951665914106416841313 / (P-1, B1=500000, B2=15000000, E=12)