14 071 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
1941799	7	20.9	old
7171031873	10	32.7	2008-08-26 19:58:41

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1518 / 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	B011522A1F3004BF	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	B011522A1F3004BF	2	8014	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	0A7390D9AF4CCF79	2	7433	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	0A7390D9AF4CCF79	2	11168	5	3

History

Date	User	Type	Result
2025-02-17	masser	NF-PP1	Start=96/47, B1=430000000, B2=429570000000
2025-02-09	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-20	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M14071/1941799/7171031873 : 0A7390D9AF4CCF79
2024-01-29	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-23	JacobZ	NF-PM1	B1=7800000000, B2=32022192391138950
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	M14071/1941799/7171031873 : 0A7390D9AF4CCF79
2017-10-12	kkmrkkblmbrbk	C-PRP	M14071/1941799/7171031873 : B011522A1F3004BF
2017-09-21	Oliver Kruse	C-PRP	M14071/1941799/7171031873 : B011522A1F3004BF
2017-09-21	Oliver Kruse	C-PRP	M14071/1941799/7171031873 : B011522A1F3004BF
2008-08-26	-anonymous-	F	Factor: 7171031873