12 097 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
7437025214165412964009	22	72.7	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1342 / 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	7914CB704CAC946E	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	7914CB704CAC946E	1	11934	1	3
Verified	2020-04-17	Oliver Kruse	3C783D40C1B62C94	1	9752	5	3
Verified	2023-05-19	-Anonymous-	3C783D40C1B62C94	1	10211	5	3

P-1 factors

Date	Factor	B1	B2
2023-04-06	7437025214165412964009	100000000000	122192573512709696

History

Date	User	Type	Result
2023-05-19	-Anonymous-	C-PRP	M12097/7437025214165412964009 : 3C783D40C1B62C94 PRP: Verified PRP without proof (small exponent)
2023-04-06	-Anonymous-	F-PM1	Factor: 7437025214165412964009 / (P-1, B1=100000000000, B2=122192573512709700)
2020-04-17	Oliver Kruse	C-PRP	M12097/7437025214165412964009 : 3C783D40C1B62C94 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M12097/7437025214165412964009 : 7914CB704CAC946E PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12097/7437025214165412964009 : 7914CB704CAC946E PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12097/7437025214165412964009 : 7914CB704CAC946E PRP without proof (not generated)
2016-09-08	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12