14 401 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
11913945416781811886807	23	73.3	old

P-1 factors

Date	Factors	B1	B2
2024-02-09	No new factors discovered	100000000000	122154521813133808

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1424 / 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	9D0C11CB1B5F703B	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	9D0C11CB1B5F703B	1	7610	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	B5240D9FC5FAF80A	1	5113	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	B5240D9FC5FAF80A	1	5085	5	3

History

Date	User	Type	Result
2025-02-12	masser	NF-PP1	Start=119/47, 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	M14401/11913945416781811886807 : B5240D9FC5FAF80A
2024-02-09	-anonymous-	F-PM1	Factor: 11913945416781811886807 / B1=100000000000, B2=122154521813133810
2023-05-25	JacobZ	NF-PM1	B1=7600000000, B2=30020805351537000
2022-01-24	Ethan O'Connor	NF-PM1	B1=1000000000, B2=3088390743498060
2020-04-17	Oliver Kruse	C-PRP	M14401/11913945416781811886807 : B5240D9FC5FAF80A
2017-10-12	kkmrkkblmbrbk	C-PRP	M14401/11913945416781811886807 : 9D0C11CB1B5F703B
2017-09-21	Oliver Kruse	C-PRP	M14401/11913945416781811886807 : 9D0C11CB1B5F703B
2017-09-21	Oliver Kruse	C-PRP	M14401/11913945416781811886807 : 9D0C11CB1B5F703B