14 461 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
578441	6	19.1	old
15849257	8	23.9	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	1427 / 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	C1984AB3B5F14330	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	C1984AB3B5F14330	2	7173	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	9460A44924BF7CF1	2	5320	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	9460A44924BF7CF1	2	14056	5	3

History

Date	User	Type	Result
2025-02-12	masser	NF-PP1	Start=195/47, B1=355000000, B2=354645000000
2025-02-07	masser	NF-PP1	Start=2/7, B1=355000000, B2=354645000000
2025-01-18	masser	NF-PP1	Start=6/5, B1=355000000, B2=354645000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M14461/15849257/578441 : 9460A44924BF7CF1
2024-02-09	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2022-02-18	Ethan O'Connor	NF-PM1	B1=2000000000, B2=31241992006174950
2022-01-24	Ethan O'Connor	NF-PM1	B1=2000000000
2020-04-17	Oliver Kruse	C-PRP	M14461/578441/15849257 : 9460A44924BF7CF1
2017-10-12	kkmrkkblmbrbk	C-PRP	M14461/578441/15849257 : C1984AB3B5F14330
2017-09-21	Oliver Kruse	C-PRP	M14461/578441/15849257 : C1984AB3B5F14330
2017-09-21	Oliver Kruse	C-PRP	M14461/578441/15849257 : C1984AB3B5F14330
2008-08-26	-anonymous-	F	Factor: 15849257