12 413 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
5865438465548926483874570379275657	34	112.2	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1251 / 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	7491EC22058984AF	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	7491EC22058984AF	1	6863	1	3
Verified	2020-04-17	Oliver Kruse	1CD3ADEB103FF48A	1	994	5	3
Verified	2024-07-01	kkmrkkblmbrbk	1CD3ADEB103FF48A	1	1443	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M12413/5865438465548926483874570379275657 : 1CD3ADEB103FF48A PRP: Verified PRP without proof (small exponent)
2023-05-13	-Anonymous-	NF-PM1	B1=100000000000, B2=120417199046794650
2021-02-24	gLauss	NF-PM1	B1=1000000000, B2=100000000000
2020-04-17	Oliver Kruse	C-PRP	M12413/5865438465548926483874570379275657 : 1CD3ADEB103FF48A PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M12413/5865438465548926483874570379275657 : 7491EC22058984AF PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12413/5865438465548926483874570379275657 : 7491EC22058984AF PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12413/5865438465548926483874570379275657 : 7491EC22058984AF PRP without proof (not generated)
2016-09-09	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12