13 367 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
106937	6	16.7	old
2807071	7	21.4	2008-08-26 19:58:40
192270929	9	27.5	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	1590 / 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	7CDFCD6058DAE404	3	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	7CDFCD6058DAE404	3	954	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	9C56CE86690434B1	3	1920	5	3
Verified	No proof (small exponent)	2023-05-07	retsu	9C56CE86690434B1	3	12822	5	3

History

Date	User	Type	Result
2025-03-10	masser	NF-PP1	Start=161/29, B1=430000000, B2=429570000000
2025-02-12	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-29	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2023-12-19	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-18	JacobZ	NF-PM1	B1=8200000000, B2=35024272926292650
2023-05-07	retsu	C-PRP	M13367/106937/2807071/192270929 : 9C56CE86690434B1
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M13367/106937/2807071/192270929 : 9C56CE86690434B1
2017-10-12	kkmrkkblmbrbk	C-PRP	M13367/106937/2807071/192270929 : 7CDFCD6058DAE404
2017-09-21	Oliver Kruse	C-PRP	M13367/106937/2807071/192270929 : 7CDFCD6058DAE404
2017-09-21	Oliver Kruse	C-PRP	M13367/106937/2807071/192270929 : 7CDFCD6058DAE404
2008-08-26	-anonymous-	F	Factor: 192270929
2008-08-26	-anonymous-	F	Factor: 2807071