13 463 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
26927	5	14.7	old
5497131383	10	32.4	2008-08-26 19:58:40
122239714780251847	18	56.8	2008-08-26 19:58:40
25734518266381760604487351	26	84.4	2008-08-29 02:24:32

P-1 factors

Date	Factors	B1	B2
2024-01-29	No new factors discovered	100000000000	122154521813133808

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1529 / 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	7636DA6784D2AC39	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	7636DA6784D2AC39	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	7636DA6784D2AC39	4	6692	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	FB8C29C42F4281AA	4	9299	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	FB8C29C42F4281AA	1	8769	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	FB8C29C42F4281AA	4	4079	5	3

History

Date	User	Type	Result
2025-02-26	masser	NF-PP1	Start=157/67, B1=430000000, B2=429570000000
2025-02-12	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-27	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13463/122239714780251847/25734518266381760604487351/26927/5497131383 : FB8C29C42F4281AA
2024-01-29	-anonymous-	F-PM1	Factor: 25734518266381760604487351 / B1=100000000000, B2=122154521813133810
2023-05-19	JacobZ	NF-PM1	B1=8200000000, B2=35024272926292650
2022-05-12	Jorge Coveiro	C-PRP	M13463/26927 : FB8C29C42F4281AA
2022-02-05	Joss	NF-PM1	B1=1000000, B2=2389799412000
2020-04-17	Oliver Kruse	C-PRP	M13463/26927/5497131383/122239714780251847/25734518266381760604487351 : FB8C29C42F4281AA
2017-12-07	ATH	C-PRP	M13463/26927/5497131383/122239714780251847/25734518266381760604487351 : 7636DA6784D2AC39
2017-10-02	kkmrkkblmbrbk	C-PRP	M13463/26927/5497131383/122239714780251847/25734518266381760604487351 : 7636DA6784D2AC39
2017-09-21	Oliver Kruse	C-PRP	M13463/26927/5497131383/122239714780251847/25734518266381760604487351 : 7636DA6784D2AC39
2008-08-29	-anonymous-	F-ECM	Factor: 25734518266381760604487351
2008-08-26	-anonymous-	F-ECM	Factor: 122239714780251847
2008-08-26	-anonymous-	F	Factor: 5497131383