12 713 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
12299834941021392083446681	26	83.3	old

P-1 factors

Date	Factors	B1	B2
2023-05-24	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	1449 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^130 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	88D7108D6BE4EE04	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	88D7108D6BE4EE04	1	6570	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	E03FB73233E46C9B	1	6041	5	3
Verified	No proof (small exponent)	2023-05-24	reclux	E03FB73233E46C9B	1	76	5	3

History

Date	User	Type	Result
2025-03-05	masser	NF-PP1	Start=129/41, B1=430000000, B2=429570000000
2025-02-18	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-17	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2023-05-24	reclux	C-PRP	M12713/12299834941021392083446681 : E03FB73233E46C9B
2023-05-24	-anonymous-	F-PM1	Factor: 12299834941021392083446681 / 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
2017-10-12	kkmrkkblmbrbk	C-PRP	M12713/12299834941021392083446681 : 88D7108D6BE4EE04
2017-09-21	Oliver Kruse	C-PRP	M12713/12299834941021392083446681 : 88D7108D6BE4EE04
2017-09-21	Oliver Kruse	C-PRP	M12713/12299834941021392083446681 : 88D7108D6BE4EE04