13 649 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
6304361252767407887	19	62.5	old
1350153392830741507383241116746932679	37	120.0	2023-06-08 19:09:21

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1466 / 9201

Estimated T-Level: 40.8 ⓘ

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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	5862B30E0CAFDB0E	1	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	5862B30E0CAFDB0E	1	1552	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	45FE700CA2457D42	1	2580	5	3
Verified	No proof (small exponent)	2023-06-08	Denial140	45FE700CA2457D42	2	623	5	3
Verified	No proof (small exponent)	2023-06-08	Denial140	45FE700CA2457D42	2	1730	5	3

History

Date	User	Type	Result
2025-02-24	masser	NF-PP1	Start=154/53, B1=430000000, B2=429570000000
2025-02-11	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-25	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-01-29	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-06-08	Denial140	C-PRP	M13649/6304361252767407887/1350153392830741507383241116746932679 : 45FE700CA2457D42
2023-06-08	Denial140	C-PRP	M13649/6304361252767407887/1350153392830741507383241116746932679 : 45FE700CA2457D42
2023-06-08	Denial140	F-ECM	Factor: 1350153392830741507383241116746932679 / ECM curve 40, B1=3000000, B2=22972799850, Montgomery Sigma=2314937256544810
2023-05-20	JacobZ	NF-PM1	B1=8000000000, B2=35524619698317750
2022-03-04	Ethan O'Connor	NF-PM1	B1=1000000000, B2=248016220902450
2021-12-14	ANONYMOUS	NF-PM1	B1=101101101, B2=19711193892390
2021-12-14	ANONYMOUS	NF-PM1	B1=1000000, B2=543067234710
2020-04-17	Oliver Kruse	C-PRP	M13649/6304361252767407887 : 45FE700CA2457D42
2017-10-12	kkmrkkblmbrbk	C-PRP	M13649/6304361252767407887 : 5862B30E0CAFDB0E
2017-09-21	Oliver Kruse	C-PRP	M13649/6304361252767407887 : 5862B30E0CAFDB0E
2017-09-21	Oliver Kruse	C-PRP	M13649/6304361252767407887 : 5862B30E0CAFDB0E