12 809 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
39970407647	11	35.2	old
678558798823	12	39.3	2008-08-26 19:58:38
2008749980467619406454809821548969777	37	120.6	2023-05-23 09:36:20

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1499 / 9201

Estimated T-Level: 40.8 ⓘ

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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	C6FEFE7DBF085B50	2	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	C6FEFE7DBF085B50	2	5619	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	D49E9BC6D6117221	2	11612	5	3
Verified	No proof (small exponent)	2023-05-23	Denial140	D49E9BC6D6117221	3	4039	5	3

History

Date	User	Type	Result
2025-03-04	masser	NF-PP1	Start=184/13, B1=430000000, B2=429570000000
2025-02-16	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-17	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2023-05-27	-anonymous-	NF-PM1	B1=100000000000, B2=120417199046794650
2023-05-23	Denial140	C-PRP	M12809/39970407647/678558798823/2008749980467619406454809821548969777 : D49E9BC6D6117221
2023-05-23	Denial140	F-ECM	Factor: 2008749980467619406454809821548969777 / ECM curve 74, B1=3000000, B2=22972799850, Montgomery Sigma=3141512165648374
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	M12809/39970407647/678558798823 : D49E9BC6D6117221
2017-10-12	kkmrkkblmbrbk	C-PRP	M12809/39970407647/678558798823 : C6FEFE7DBF085B50
2017-09-21	Oliver Kruse	C-PRP	M12809/39970407647/678558798823 : C6FEFE7DBF085B50
2017-09-21	Oliver Kruse	C-PRP	M12809/39970407647/678558798823 : C6FEFE7DBF085B50
2008-08-26	-anonymous-	F	Factor: 678558798823