12 497 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

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

P-1 factors

Date	Factors	B1	B2
2023-05-21	No new factors discovered	100000000000	120417199046794656

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1465 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^131 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	05FF06D0C51EB140	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	05FF06D0C51EB140	2	6151	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	AC576E02BB50229C	2	8880	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	AC576E02BB50229C	2	4706	5	3

History

Date	User	Type	Result
2025-03-04	masser	NF-PP1	Start=157/61, B1=430000000, B2=429570000000
2025-02-19	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-18	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M12497/347432096281/85575221971155302334161 : AC576E02BB50229C
2023-05-21	-anonymous-	F-PM1	Factor: 85575221971155302334161 / B1=100000000000, B2=120417199046794650
2020-04-17	Oliver Kruse	C-PRP	M12497/347432096281/85575221971155302334161 : AC576E02BB50229C
2017-10-12	kkmrkkblmbrbk	C-PRP	M12497/347432096281/85575221971155302334161 : 05FF06D0C51EB140
2017-09-21	Oliver Kruse	C-PRP	M12497/347432096281/85575221971155302334161 : 05FF06D0C51EB140
2017-09-21	Oliver Kruse	C-PRP	M12497/347432096281/85575221971155302334161 : 05FF06D0C51EB140
2016-09-09	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-anonymous-	F-ECM	Factor: 85575221971155302334161