14 051 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
4456511377371449601377	22	71.9	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	4051 / 9201

Estimated T-Level: 42.2 ⓘ

TF below 2^135 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	D011225AF884556C	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	D011225AF884556C	1	4441	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	83C5929163A72962	1	2654	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	83C5929163A72962	1	13305	5	3

History

Date	User	Type	Result
2025-02-17	masser	NF-PP1	Start=173/29, B1=430000000, B2=429570000000
2025-02-09	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-21	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M14051/4456511377371449601377 : 83C5929163A72962
2023-11-30	-anonymous-	NF-PM1	B1=100000000000, B2=124499752678561260
2023-05-23	JacobZ	NF-PM1	B1=7800000000, B2=32022192391138950
2020-04-17	Oliver Kruse	C-PRP	M14051/4456511377371449601377 : 83C5929163A72962
2017-10-12	kkmrkkblmbrbk	C-PRP	M14051/4456511377371449601377 : D011225AF884556C
2017-09-21	Oliver Kruse	C-PRP	M14051/4456511377371449601377 : D011225AF884556C
2017-09-21	Oliver Kruse	C-PRP	M14051/4456511377371449601377 : D011225AF884556C