6 449 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 6 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
51593	5	15.7	old
978611385679	12	39.8	old
12634612147559	14	43.5	old
338460971146505953	18	58.2	old
193913738231603937059741414167261465069847	42	137.2	2016-11-24 23:58:45
88668136520858285753879468333751843293163309156062519	53	175.9	2021-03-28 13:44:52

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1291 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-20	kkmrkkblmbrbk	5972DFD2CD79A60B	5	0	1	3
Verified (Factored)	2017-09-25	George Woltman	5972DFD2CD79A60B	5	5464	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	5972DFD2CD79A60B	5	0	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	B1A5BC5A1B8889D1	5	6027	5	3
Verified	2021-03-28	mikr	B1A5BC5A1B8889D1	6	4664	5	3
Verified	2021-03-29	Chad Steenerson	B1A5BC5A1B8889D1	6	4084	5	3

History

Date	User	Type	Result
2023-08-06	-Anonymous-	NF-PM1	B1=38000000000, B2=159095079570076650
2021-08-02	ViliamF	NF-PM1	B1=500000000, B2=90500000000
2021-03-29	Chad Steenerson	C-PRP	M6449/51593/978611385679/12634612147559/338460971146505953/193913738231603937059741414167261465069847/88668136520858285753879468333751843293163309156062519 : B1A5BC5A1B8889D1 PRP: Verified PRP without proof (small exponent)
2021-03-28	mikr	C-PRP	M6449/51593/978611385679/12634612147559/338460971146505953/193913738231603937059741414167261465069847/88668136520858285753879468333751843293163309156062519 : B1A5BC5A1B8889D1 PRP: Verified PRP without proof (small exponent)
2021-03-28	Ryan Propper	F-ECM	Factor: 88668136520858285753879468333751843293163309156062519 / (ECM curve 1, B1=43000000, B2=198654756318, Sigma=2607063913739666936)
2020-04-17	Oliver Kruse	C-PRP	M6449/51593/978611385679/12634612147559/338460971146505953/193913738231603937059741414167261465069847 : B1A5BC5A1B8889D1 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M6449/51593/978611385679/12634612147559/338460971146505953/193913738231603937059741414167261465069847 : 5972DFD2CD79A60B PRP: Verified PRP without proof (not generated)
2017-09-25	George Woltman	C-PRP	M6449/known_factors : 5972DFD2CD79A60B PRP: Verified PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M6449/51593/978611385679/12634612147559/338460971146505953/193913738231603937059741414167261465069847 : 5972DFD2CD79A60B PRP: Verified PRP without proof (not generated)
2016-11-24	kkmrkkblmbrbk	F-ECM	Factor: 193913738231603937059741414167261465069847 / (ECM curve 2270, B1=3000000, B2=300000000)