3 681 481 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
7744786220498705671	19	62.7	2009-08-29 07:07:57
44752822163428237127	20	65.3	2018-08-29 11:29:59

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)	1998-04-15	Wes Reynolds	3098FC8873869409	0
Verified (Factored)	1999-08-31	Hugh Garner	3098FC8873869409	1481070

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-20	kkmrkkblmbrbk	9F2D6D186E071685	1	0	1	3
Verified (Factored)	2017-11-29	Oliver Kruse	9F2D6D186E071685	1	2553690	1	3
Verified	2018-08-31	Oliver Kruse	C658713C359EA28A	2	1283139	5	3
Verified	2018-09-01	arnaud	C658713C359EA28A	2	122439	5	3

History

Date	User	Type	Result
2022-09-27	Joss	NF-PM1	B1=1000000, B2=130364850
2022-06-15	LordJulius	NF	no factor from 2^66 to 2^67
2022-06-15	LordJulius	NF	no factor from 2^64 to 2^65
2022-06-15	LordJulius	NF	no factor from 2^63 to 2^64
2022-05-16	Joss	NF-PM1	B1=500000, B2=130364850
2022-03-10	Joss	NF	no factor from 2^67 to 2^68
2018-09-01	arnaud	C-PRP	M3681481/7744786220498705671/44752822163428237127 : C658713C359EA28A PRP: Verified PRP without proof (not generated)
2018-08-31	Oliver Kruse	C-PRP	M3681481/7744786220498705671/44752822163428237127 : C658713C359EA28A PRP: Verified PRP without proof (not generated)
2018-08-29	TJAOI	F	Factor: 44752822163428237127 / TF: 65-66
2017-11-29	Oliver Kruse	C-PRP	M3681481/7744786220498705671 : 9F2D6D186E071685 PRP: Verified PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M3681481/7744786220498705671 : 9F2D6D186E071685 PRP: Verified PRP without proof (not generated)
2009-08-29	alan145	F-ECM	Factor: 7744786220498705671
2009-07-12	Carsten Kossendey	NF-PM1	B1=20000, B2=260000
2009-03-08	S485122	NF	no factor from 2^60 to 2^61