13 697 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
82183	5	16.3	old
271461483230835463193	21	67.9	2008-08-29 02:24:33
46076643238702238750761	23	75.3	2008-08-26 19:58:40

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1525 / 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	C1D13836C71A6C5C	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	C1D13836C71A6C5C	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	C1D13836C71A6C5C	3	6972	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	E8E9D87C630E1F20	3	12759	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	E8E9D87C630E1F20	3	6749	5	3

History

Date	User	Type	Result
2025-02-23	masser	NF-PP1	Start=94/31, B1=430000000, B2=429570000000
2025-02-10	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-25	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13697/271461483230835463193/46076643238702238750761/82183 : E8E9D87C630E1F20
2024-01-29	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-20	JacobZ	NF-PM1	B1=8000000000, B2=35524619698317750
2022-03-04	Ethan O'Connor	NF-PM1	B1=1000000000, B2=248016220902450
2022-02-06	ANONYMOUS	NF-PM1	B1=50000
2020-04-17	Oliver Kruse	C-PRP	M13697/82183/271461483230835463193/46076643238702238750761 : E8E9D87C630E1F20
2017-12-07	ATH	C-PRP	M13697/82183/271461483230835463193/46076643238702238750761 : C1D13836C71A6C5C
2017-10-02	kkmrkkblmbrbk	C-PRP	M13697/82183/271461483230835463193/46076643238702238750761 : C1D13836C71A6C5C
2017-09-21	Oliver Kruse	C-PRP	M13697/known_factors : C1D13836C71A6C5C
2008-08-29	-anonymous-	F-ECM	Factor: 271461483230835463193
2008-08-26	-anonymous-	F-ECM	Factor: 46076643238702238750761