13 397 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
509087	6	19.0	old
1610605165297969	16	50.5	2008-08-29 02:24:32
5611433081271216237210849696023	31	102.1	2008-10-25 20:59:11

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1578 / 9201

Estimated T-Level: 40.9 ⓘ

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	757C5E0AD4A7F501	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	757C5E0AD4A7F501	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	757C5E0AD4A7F501	3	1420	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	836C84B1FB9A7A4D	3	7396	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	836C84B1FB9A7A4D	3	2505	5	3

History

Date	User	Type	Result
2025-02-26	masser	NF-PP1	Start=171/67, B1=430000000, B2=429570000000
2025-02-12	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-28	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13397/1610605165297969/509087/5611433081271216237210849696023 : 836C84B1FB9A7A4D
2023-12-19	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-18	JacobZ	NF-PM1	B1=8200000000, B2=35024272926292650
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M13397/509087/1610605165297969/5611433081271216237210849696023 : 836C84B1FB9A7A4D
2017-12-07	ATH	C-PRP	M13397/509087/1610605165297969/5611433081271216237210849696023 : 757C5E0AD4A7F501
2017-10-02	kkmrkkblmbrbk	C-PRP	M13397/509087/1610605165297969/5611433081271216237210849696023 : 757C5E0AD4A7F501
2017-09-21	Oliver Kruse	C-PRP	M13397/known_factors : 757C5E0AD4A7F501
2008-10-25	Will Edgington	F-ECM	Factor: 5611433081271216237210849696023
2008-08-29	-anonymous-	F	Factor: 1610605165297969