12 841 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
24038353	8	24.5	old
9969673504288877521	19	63.1	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	1599 / 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	589DB5195C7996DD	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	589DB5195C7996DD	2	6478	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	8191D02E5A7EEDBA	2	11717	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	8191D02E5A7EEDBA	2	9774	5	3

History

Date	User	Type	Result
2025-03-09	masser	NF-PP1	Start=87/41, B1=430000000, B2=429570000000
2025-02-16	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-16	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M12841/24038353/9969673504288877521 : 8191D02E5A7EEDBA
2023-05-27	-anonymous-	NF-PM1	B1=100000000000, B2=120417199046794650
2023-05-15	JacobZ	NF-PM1	B1=8600000000, B2=36024966470342850
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M12841/24038353/9969673504288877521 : 8191D02E5A7EEDBA
2017-10-12	kkmrkkblmbrbk	C-PRP	M12841/24038353/9969673504288877521 : 589DB5195C7996DD
2017-09-21	Oliver Kruse	C-PRP	M12841/24038353/9969673504288877521 : 589DB5195C7996DD
2017-09-21	Oliver Kruse	C-PRP	M12841/24038353/9969673504288877521 : 589DB5195C7996DD
2008-08-26	-anonymous-	F-ECM	Factor: 9969673504288877521