12 409 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
9827929	7	23.2	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	3408 / 9201

Estimated T-Level: 41.9 ⓘ

TF below 2^134 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	6F576AD9F204DF5F	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	6F576AD9F204DF5F	1	3186	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	585F3C6E39891470	1	8198	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	585F3C6E39891470	1	8792	5	3

History

Date	User	Type	Result
2025-03-05	masser	NF-PP1	Start=160/13, B1=430000000, B2=429570000000
2025-02-20	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-19	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M12409/9827929 : 585F3C6E39891470
2023-05-13	-anonymous-	NF-PM1	B1=100000000000, B2=120417199046794650
2020-04-17	Oliver Kruse	C-PRP	M12409/9827929 : 585F3C6E39891470
2017-10-12	kkmrkkblmbrbk	C-PRP	M12409/9827929 : 6F576AD9F204DF5F
2017-09-21	Oliver Kruse	C-PRP	M12409/9827929 : 6F576AD9F204DF5F
2017-09-21	Oliver Kruse	C-PRP	M12409/9827929 : 6F576AD9F204DF5F
2016-09-09	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12