13 457 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
6120166733617	13	42.5	old
2439236084627161	16	51.1	2008-08-29 02:24:32
21148237731667204633	20	64.2	2008-08-26 19:58:40

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1529 / 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
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	749C5709F6497E28	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	749C5709F6497E28	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	749C5709F6497E28	3	9411	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	432910180380E13D	3	4442	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	432910180380E13D	3	9191	5	3

History

Date	User	Type	Result
2025-03-09	masser	NF-PP1	Start=77/17, B1=430000000, B2=429570000000
2025-02-12	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-27	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13457/21148237731667204633/2439236084627161/6120166733617 : 432910180380E13D
2024-01-29	-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	M13457/6120166733617/2439236084627161/21148237731667204633 : 432910180380E13D
2017-12-07	ATH	C-PRP	M13457/6120166733617/2439236084627161/21148237731667204633 : 749C5709F6497E28
2017-10-02	kkmrkkblmbrbk	C-PRP	M13457/6120166733617/2439236084627161/21148237731667204633 : 749C5709F6497E28
2017-09-21	Oliver Kruse	C-PRP	M13457/6120166733617/21148237731667204633/2439236084627161 : 749C5709F6497E28
2008-08-29	-anonymous-	F-PM1	Factor: 2439236084627161
2008-08-26	-anonymous-	F-ECM	Factor: 21148237731667204633