3 393 017 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
621226543810553933111	21	69.1	2022-01-09 02:58:30
11625850162097399173039	23	73.3	2009-06-13 06:47:09

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	Shift
Verified (Factored)	1998-04-05	Chionh Wei Peng	D7FA93C5D70109EF	0
Verified (Factored)	2000-10-07	Robin Tremblay	D7FA93C5D70109EF	388770

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-11-05	Oliver Kruse	E80983773C257ECD	1	211951	5	3
Verified (Factored)	2017-12-15	kkmrkkblmbrbk	E80983773C257ECD	1	2996273	5	3
Verified	2022-01-12	LordJulius	E80983773C257ECD	2	1804832	5	3

P-1 factors

Date	Factor	B1	B2
2022-01-09	621226543810553933111	1131005	111642300

History

Date	User	Type	Result
2022-09-05	Joss	NF-PM1	B1=1131005, B2=213444000
2022-04-24	LordJulius	NF	no factor from 2^66 to 2^67
2022-04-24	LordJulius	NF	no factor from 2^65 to 2^66
2022-04-24	LordJulius	NF	no factor from 2^64 to 2^65
2022-04-24	LordJulius	NF	no factor from 2^63 to 2^64
2022-04-24	LordJulius	NF	no factor from 2^62 to 2^63
2022-04-24	LordJulius	NF	no factor from 2^1 to 2^62
2022-01-12	ManuelJC	CERT	PRP Certification Proof certified good
2022-01-12	LordJulius	C-PRP	M3393017/621226543810553933111/11625850162097399173039 : E80983773C257ECD PRP proof power = 7 PRP: Verified Proof certified good
2022-01-09	Joss	F-PM1	Factor: 621226543810553933111 / (P-1, B1=1131005, B2=111642300)
2021-07-09	Joss	NF	no factor from 2^67 to 2^68
2021-03-14	Joss	NF-PM1	B1=339301, B2=3732318, E=6
2017-12-15	kkmrkkblmbrbk	C-PRP	M3393017/11625850162097399173039 : E80983773C257ECD PRP: Verified (Factored) PRP without proof (not generated)
2017-11-05	Oliver Kruse	C-PRP	M3393017/11625850162097399173039 : E80983773C257ECD PRP: Verified (Factored) PRP without proof (not generated)
2009-06-13	rextherunt	F-ECM	Factor: 11625850162097399173039
2009-03-25	S485122	NF	no factor from 2^60 to 2^61