13 681 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
1203929	7	20.2	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1571 / 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	5CF4701E75EDFAF5	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	5CF4701E75EDFAF5	1	5859	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	8EAA220470F1E1F4	1	2314	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	8EAA220470F1E1F4	1	2979	5	3

History

Date	User	Type	Result
2025-02-24	masser	NF-PP1	Start=85/67, B1=430000000, B2=429570000000
2025-02-11	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-26	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13681/1203929 : 8EAA220470F1E1F4
2024-01-29	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-20	JacobZ	NF-PM1	B1=8000000000, B2=35524619698317750
2022-03-04	Ethan O'Connor	NF-PM1	B1=1000000000, B2=248016220902450
2021-12-15	ANONYMOUS	NF-PM1	B1=101101101, B2=19711193892390
2020-04-17	Oliver Kruse	C-PRP	M13681/1203929 : 8EAA220470F1E1F4
2017-10-12	kkmrkkblmbrbk	C-PRP	M13681/1203929 : 5CF4701E75EDFAF5
2017-09-21	Oliver Kruse	C-PRP	M13681/1203929 : 5CF4701E75EDFAF5
2017-09-21	Oliver Kruse	C-PRP	M13681/1203929 : 5CF4701E75EDFAF5