263 191 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
31078019297696285039	20	64.8	old
31117654636123104487	20	64.8	2008-07-15 22:29:48
3175222078966838921023	22	71.4	2014-08-22 10:16:33
36032085944954296957924600279	29	94.9	2022-06-24 05:56:52

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	406 / 640

Estimated T-Level: 28.2 ⓘ

TF below 2^89 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	EBED2235DDC1DE86	3	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	EBED2235DDC1DE86	3	21972	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	C4FE069910DBCC31	3	86428	5	3
Verified	2022-06-25	LordJulius	C4FE069910DBCC31	4	237774	5	3
Verified	2022-06-26	_p95holder_	C4FE069910DBCC31	4	246116	5	3

History

Date	User	Type	Result
2022-06-26	_p95holder_	C-PRP	M263191/31078019297696285039/31117654636123104487/3175222078966838921023/36032085944954296957924600279 : C4FE069910DBCC31 PRP: Verified PRP without proof (small exponent)
2022-06-25	nightfly	CERT	PRP Certification Proof certified good
2022-06-25	LordJulius	C-PRP	M263191/31078019297696285039/31117654636123104487/3175222078966838921023/36032085944954296957924600279 : C4FE069910DBCC31 PRP proof power = 5 PRP: Verified Proof certified good
2022-06-24	_p95holder_	F-ECM	Factor: 36032085944954296957924600279 / (ECM curve 3, B1=250000, B2=25000000)
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2020-04-17	Oliver Kruse	C-PRP	M263191/31078019297696285039/31117654636123104487/3175222078966838921023 : C4FE069910DBCC31 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M263191/31078019297696285039/31117654636123104487/3175222078966838921023 : EBED2235DDC1DE86 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M263191/known_factors : EBED2235DDC1DE86 PRP without proof (not generated)
2014-08-22	TJAOI	F-ECM	Factor: 3175222078966838921023
2008-07-15	George Woltman	F-ECM	Factor: 967075071280482111886434792255531869993