12 713 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
12299834941021392083446681	26	83.3	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1254 / 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	88D7108D6BE4EE04	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	88D7108D6BE4EE04	1	6570	1	3
Verified	2020-04-17	Oliver Kruse	E03FB73233E46C9B	1	6041	5	3
Verified	2023-05-24	reclux	E03FB73233E46C9B	1	76	5	3

P-1 factors

Date	Factor	B1	B2
2023-05-24	12299834941021392083446681	100000000000	120417199046794656

History

Date	User	Type	Result
2023-05-24	reclux	C-PRP	M12713/12299834941021392083446681 : E03FB73233E46C9B PRP: Verified PRP without proof (small exponent)
2023-05-24	-Anonymous-	F-PM1	Factor: 12299834941021392083446681 / (P-1, B1=100000000000, B2=120417199046794650)
2023-05-14	JacobZ	NF-PM1	B1=8700000000, B2=36024966470342850
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M12713/12299834941021392083446681 : E03FB73233E46C9B PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M12713/12299834941021392083446681 : 88D7108D6BE4EE04 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12713/12299834941021392083446681 : 88D7108D6BE4EE04 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12713/12299834941021392083446681 : 88D7108D6BE4EE04 PRP without proof (not generated)