12 497 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
347432096281	12	38.3	old
85575221971155302334161	23	76.2	2008-08-29 02:24:30

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1270 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	05FF06D0C51EB140	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	05FF06D0C51EB140	2	6151	1	3
Verified	2020-04-17	Oliver Kruse	AC576E02BB50229C	2	8880	5	3
Verified	2024-07-01	kkmrkkblmbrbk	AC576E02BB50229C	2	4706	5	3

P-1 factors

Date	Factor	B1	B2
2023-05-21	85575221971155302334161	100000000000	120417199046794656

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M12497/347432096281/85575221971155302334161 : AC576E02BB50229C PRP: Verified PRP without proof (small exponent)
2023-05-21	-Anonymous-	F-PM1	Factor: 85575221971155302334161 / (P-1, B1=100000000000, B2=120417199046794650)
2020-04-17	Oliver Kruse	C-PRP	M12497/347432096281/85575221971155302334161 : AC576E02BB50229C PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M12497/347432096281/85575221971155302334161 : 05FF06D0C51EB140 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12497/347432096281/85575221971155302334161 : 05FF06D0C51EB140 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12497/347432096281/85575221971155302334161 : 05FF06D0C51EB140 PRP without proof (not generated)
2016-09-09	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-Anonymous-	F-ECM	Factor: 85575221971155302334161