3 305 381 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
62868531721337	14	45.8	old
35258974719671053953624889	26	84.9	2021-04-09 07:57:27
1740863593128034075488448637102619593953	40	130.4	2021-03-30 19:06:03

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)	2017-11-04	Oliver Kruse	E8D0BA618BCD42C1	1	352657	5	3
Verified (Factored)	2017-12-14	kkmrkkblmbrbk	E8D0BA618BCD42C1	1	1448444	5	3
Verified (Factored)	2021-03-30	ATH	E8D0BA618BCD42C1	2	1343684	5	3
Verified	2021-04-12	Joe S.	E8D0BA618BCD42C1	3	1156971	5	3

P-1 factors

Date	Factor	B1	B2
2021-03-30	1740863593128034075488448637102619593953	330538	6610762
2021-04-09	35258974719671053953624889	330538	18682588

History

Date	User	Type	Result
2022-07-17	Joss	NF-PM1	B1=3305381, B2=3315011700
2021-12-29	Joss	NF-PM1	B1=3305381, B2=207911550
2021-12-08	Joss	NF	no factor from 2^70 to 2^71
2021-12-07	Joss	NF	no factor from 2^69 to 2^70
2021-12-07	Joss	NF-PM1	B1=3305381, B2=99161430, E=12
2021-12-07	Joss	NF	no factor from 2^68 to 2^69
2021-04-12	ArtDaPine	CERT	PRP Certification Proof certified good
2021-04-12	Joe S.	C-PRP	M3305381/62868531721337/1740863593128034075488448637102619593953/35258974719671053953624889 : E8D0BA618BCD42C1 PRP proof power = 7 PRP: Verified Proof certified good
2021-04-09	Joss	F-PM1	Factor: 35258974719671053953624889 / (P-1, B1=330538, B2=18682588, E=6)
2021-03-31	Joss	NF	no factor from 2^67 to 2^68
2021-03-30	paulrector	CERT	PRP Certification Proof certified good
2021-03-30	ATH	C-PRP	M3305381/62868531721337/1740863593128034075488448637102619593953 : E8D0BA618BCD42C1 PRP proof power = 7 PRP: Verified (Factored) Proof certified good
2021-03-30	Joss	F-PM1	Factor: 1740863593128034075488448637102619593953 / (P-1, B1=330538, B2=6610762, E=6)
2021-01-04	Joss	NF-PM1	B1=330538, B2=3305381, E=6
2021-01-03	Joss	NF-PM1	B1=330538
2017-12-14	kkmrkkblmbrbk	C-PRP	M3305381/62868531721337 : E8D0BA618BCD42C1 PRP: Verified (Factored) PRP without proof (not generated)
2017-11-04	Oliver Kruse	C-PRP	M3305381/62868531721337 : E8D0BA618BCD42C1 PRP: Verified (Factored) PRP without proof (not generated)