14 011 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
52635964361	11	35.6	old
71752499082455951	17	56.0	2008-08-26 19:58:41

P-1 factors

Date	Factors	B1	B2
2022-01-23	No new factors discovered	1000000	1000000

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1519 / 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	CAAC85A28FA0465E	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	CAAC85A28FA0465E	2	13280	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	20726556AF6D0001	2	6218	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	20726556AF6D0001	2	9362	5	3

History

Date	User	Type	Result
2025-02-18	masser	NF-PP1	Start=161/31, 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	M14011/52635964361/71752499082455951 : 20726556AF6D0001
2023-11-30	-anonymous-	NF-PM1	B1=100000000000, B2=124499752678561260
2023-05-23	JacobZ	NF-PM1	B1=7800000000, B2=32022192391138950
2023-05-03	Rubiksmath	NF-PM1	B1=1000000000, B2=138858338138520
2022-01-23	Ethan O'Connor	NF-PM1	B1=150000, B2=2219700032550
2022-01-23	Ethan O'Connor	F-PM1	Factor: 3776761984516836637188362311 / B1=1000000
2020-04-17	Oliver Kruse	C-PRP	M14011/52635964361/71752499082455951 : 20726556AF6D0001
2017-10-12	kkmrkkblmbrbk	C-PRP	M14011/52635964361/71752499082455951 : CAAC85A28FA0465E
2017-09-21	Oliver Kruse	C-PRP	M14011/52635964361/71752499082455951 : CAAC85A28FA0465E
2017-09-21	Oliver Kruse	C-PRP	M14011/52635964361/71752499082455951 : CAAC85A28FA0465E
2008-08-26	-anonymous-	F-ECM	Factor: 71752499082455951