12 799 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
230631426913	12	37.7	old
2871350483714359	16	51.4	2008-08-26 19:58:38
3254324268839327	16	51.5	2008-08-26 19:58:38

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1588 / 9201

Estimated T-Level: 40.9 ⓘ

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	E44726AF879C2694	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	E44726AF879C2694	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	E44726AF879C2694	3	801	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	6C66ED504CF0F16C	3	9626	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	6C66ED504CF0F16C	3	506	5	3

History

Date	User	Type	Result
2025-03-05	masser	NF-PP1	Start=109/19, B1=430000000, B2=429570000000
2025-02-17	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-17	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M12799/230631426913/2871350483714359/3254324268839327 : 6C66ED504CF0F16C
2023-05-27	-anonymous-	NF-PM1	B1=100000000000, B2=120417199046794650
2023-05-14	JacobZ	NF-PM1	B1=8600000000, B2=36024966470342850
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M12799/230631426913/2871350483714359/3254324268839327 : 6C66ED504CF0F16C
2017-12-07	ATH	C-PRP	M12799/230631426913/2871350483714359/3254324268839327 : E44726AF879C2694
2017-10-02	kkmrkkblmbrbk	C-PRP	M12799/230631426913/2871350483714359/3254324268839327 : E44726AF879C2694
2017-09-21	Oliver Kruse	C-PRP	M12799/known_factors : E44726AF879C2694
2008-08-26	-anonymous-	F-PM1	Factor: 3254324268839327
2008-08-26	-anonymous-	F-PM1	Factor: 2871350483714359