14 657 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
87943	5	16.4	old
610317481	9	29.2	2008-08-26 19:58:43
820440233	9	29.6	2008-08-26 19:58:43

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1420 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^130 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	127853CA514A68B3	3	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	127853CA514A68B3	3	7191	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	8678F1F38A6C4EEC	3	4038	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	8678F1F38A6C4EEC	3	3711	5	3

History

Date	User	Type	Result
2025-02-06	masser	NF-PP1	Start=2/7, B1=355000000, B2=354645000000
2025-02-06	masser	NF-PP1	Start=181/71, B1=355000000, B2=354645000000
2025-01-16	masser	NF-PP1	Start=6/5, B1=355000000, B2=354645000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M14657/610317481/820440233/87943 : 8678F1F38A6C4EEC
2024-03-07	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-26	JacobZ	NF-PM1	B1=7400000000, B2=32522539163164050
2021-08-01	ViliamF	NF-PM1	B1=250000000, B2=42750000000
2020-04-17	Oliver Kruse	C-PRP	M14657/87943/610317481/820440233 : 8678F1F38A6C4EEC
2017-10-12	kkmrkkblmbrbk	C-PRP	M14657/87943/610317481/820440233 : 127853CA514A68B3
2017-09-21	Oliver Kruse	C-PRP	M14657/87943/610317481/820440233 : 127853CA514A68B3
2017-09-21	Oliver Kruse	C-PRP	M14657/87943/610317481/820440233 : 127853CA514A68B3
2008-08-26	-anonymous-	F	Factor: 820440233
2008-08-26	-anonymous-	F	Factor: 610317481