14 107 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
11765239	8	23.5	old
1037514346706805528481	22	69.8	2008-08-29 02:24:34
205894928589828291435959942861650666848607	42	137.2	2026-04-14 07:40:57

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	3870 / 9201

Estimated T-Level: 42.1 ⓘ

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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	E10C76793E5383DA	2	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	E10C76793E5383DA	2	10160	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	5573BB1587A059AD	2	10391	5	3
Factored	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	5573BB1587A059AD	2	8425	5	3
Verified	No proof (small exponent)	2026-04-14	Elysia	5573BB1587A059AD	3	1969	5	3

History

Date	User	Type	Result
2026-04-14	Elysia	C-PRP	M14107/11765239/1037514346706805528481/205894928589828291435959942861650666848607 : 5573BB1587A059AD
2026-04-14	Elysia	F-ECM	Factor: 205894928589828291435959942861650666848607 / ECM curve 8, B1=20980737, B2=85551055590, Edwards Sigma=1475386281352022
2025-02-15	masser	NF-PP1	Start=167/11, B1=430000000, B2=429570000000
2025-02-08	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-19	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M14107/1037514346706805528481/11765239 : 5573BB1587A059AD
2023-11-30	-anonymous-	NF-PM1	B1=100000000000, B2=124499752678561260
2023-05-23	JacobZ	NF-PM1	B1=7700000000, B2=32522539163164050
2023-02-11	USAFSS	NF-PM1	B1=30000000, B2=2010341563230
2022-02-06	ANONYMOUS	NF-PM1	B1=50000
2020-04-17	Oliver Kruse	C-PRP	M14107/11765239/1037514346706805528481 : 5573BB1587A059AD
2017-10-12	kkmrkkblmbrbk	C-PRP	M14107/11765239/1037514346706805528481 : E10C76793E5383DA
2017-09-21	Oliver Kruse	C-PRP	M14107/11765239/1037514346706805528481 : E10C76793E5383DA
2017-09-21	Oliver Kruse	C-PRP	M14107/11765239/1037514346706805528481 : E10C76793E5383DA
2008-08-29	-anonymous-	F-ECM	Factor: 1037514346706805528481