13 331 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
9729097111	10	33.2	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	3944 / 9201

Estimated T-Level: 42.1 ⓘ

TF below 2^135 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	A6DE94C47F817DDD	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	A6DE94C47F817DDD	1	3565	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	68B9A36692E39971	1	6262	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	68B9A36692E39971	1	10370	5	3

History

Date	User	Type	Result
2025-03-06	masser	NF-PP1	Start=155/61, B1=430000000, B2=429570000000
2025-02-01	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	M13331/9729097111 : 68B9A36692E39971
2023-12-19	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-18	JacobZ	NF-PM1	B1=8300000000, B2=34023579430740900
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M13331/9729097111 : 68B9A36692E39971
2017-10-12	kkmrkkblmbrbk	C-PRP	M13331/9729097111 : A6DE94C47F817DDD
2017-09-21	Oliver Kruse	C-PRP	M13331/9729097111 : A6DE94C47F817DDD
2017-09-21	Oliver Kruse	C-PRP	M13331/9729097111 : A6DE94C47F817DDD