13 151 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
11783297	8	23.5	old
503485450629580813860473512721	30	98.7	2009-08-09 23:07:53
47326650466250942208411004841485202007275305169	47	155.1	2025-08-02 01:00:31

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1589 / 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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	764D988540B1DC4A	2	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	764D988540B1DC4A	2	10359	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	7C9693F63D43DE2A	2	8355	5	3
Factored	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	7C9693F63D43DE2A	2	8274	5	3
Verified	No proof (small exponent)	2025-08-08	Michel Yamagishi	7C9693F63D43DE2A	3	308	5	3

History

Date	User	Type	Result
2025-08-08	Michel Yamagishi	C-PRP	M13151/11783297/503485450629580813860473512721/47326650466250942208411004841485202007275305169 : 7C9693F63D43DE2A
2025-08-02	Ryan Propper	F-ECM	Factor: 47326650466250942208411004841485202007275305169
2025-02-28	masser	NF-PP1	Start=188/13, B1=430000000, B2=429570000000
2025-02-01	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-30	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13151/11783297/503485450629580813860473512721 : 7C9693F63D43DE2A
2023-10-10	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-17	JacobZ	NF-PM1	B1=8400000000, B2=34523926202766000
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M13151/11783297/503485450629580813860473512721 : 7C9693F63D43DE2A
2017-10-12	kkmrkkblmbrbk	C-PRP	M13151/11783297/503485450629580813860473512721 : 764D988540B1DC4A
2017-09-21	Oliver Kruse	C-PRP	M13151/11783297/503485450629580813860473512721 : 764D988540B1DC4A
2017-09-21	Oliver Kruse	C-PRP	M13151/11783297/503485450629580813860473512721 : 764D988540B1DC4A
2009-08-09	Rob_Dee	F-ECM	Factor: 503485450629580813860473512721