14 737 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
2139277949456310791	19	60.9	old
13859027571569348761597064974303362201737	41	133.3	2023-07-07 00:05:22

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1416 / 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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	2C02933E819AC329	1	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	2C02933E819AC329	1	879	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	C602E80119D6617E	1	10052	5	3
Verified	No proof (small exponent)	2023-07-07	Denial140	C602E80119D6617E	2	9716	5	3

History

Date	User	Type	Result
2025-02-05	masser	NF-PP1	Start=97/67, B1=355000000, B2=354645000000
2025-02-05	masser	NF-PP1	Start=2/7, B1=355000000, B2=354645000000
2025-01-16	masser	NF-PP1	Start=6/5, B1=355000000, B2=354645000000
2024-03-07	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-07-07	Denial140	C-PRP	M14737/2139277949456310791/13859027571569348761597064974303362201737 : C602E80119D6617E
2023-07-07	Denial140	F-ECM	Factor: 13859027571569348761597064974303362201737 / ECM curve 186, B1=3000000, B2=22972874925, Montgomery Sigma=1780672114867189
2023-05-26	JacobZ	NF-PM1	B1=7400000000, B2=32522539163164050
2021-08-02	ViliamF	NF-PM1	B1=250000000, B2=42750000000
2020-04-17	Oliver Kruse	C-PRP	M14737/2139277949456310791 : C602E80119D6617E
2017-10-12	kkmrkkblmbrbk	C-PRP	M14737/2139277949456310791 : 2C02933E819AC329
2017-09-21	Oliver Kruse	C-PRP	M14737/2139277949456310791 : 2C02933E819AC329
2017-09-21	Oliver Kruse	C-PRP	M14737/2139277949456310791 : 2C02933E819AC329