13 441 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
834624975855578951	18	59.5	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1569 / 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	40838DDBDB310D37	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	40838DDBDB310D37	1	11577	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	7D647B044A13AFCC	1	277	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	7D647B044A13AFCC	1	2847	5	3

History

Date	User	Type	Result
2025-02-26	masser	NF-PP1	Start=134/67, B1=430000000, B2=429570000000
2025-02-12	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-28	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13441/834624975855578951 : 7D647B044A13AFCC
2023-12-19	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-19	JacobZ	NF-PM1	B1=8200000000, B2=35024272926292650
2022-02-05	Joss	NF-PM1	B1=1000000, B2=2389799412000
2020-04-17	Oliver Kruse	C-PRP	M13441/834624975855578951 : 7D647B044A13AFCC
2017-10-12	kkmrkkblmbrbk	C-PRP	M13441/834624975855578951 : 40838DDBDB310D37
2017-09-21	Oliver Kruse	C-PRP	M13441/834624975855578951 : 40838DDBDB310D37
2017-09-21	Oliver Kruse	C-PRP	M13441/834624975855578951 : 40838DDBDB310D37