6 361 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
404816368127	12	38.6	old
2169870252318063137	19	60.9	old
468366730522227935807	21	68.7	old
46474926955338819293975401031	29	95.2	old
1509960892158539170114369921415306057	37	120.2	2021-03-25 11:35:12

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)	2017-09-21	Oliver Kruse	1675A882BF363258	4	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	1675A882BF363258	4	0	1	3
Verified (Factored)	2017-12-07	ATH	1675A882BF363258	4	932	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	4679CB95E27404E0	4	5382	5	3
Verified	2021-03-25	mnd9	4679CB95E27404E0	5	4284	5	3
Verified	2021-03-28	Joe S.	4679CB95E27404E0	5	2270	5	3

History

Date	User	Type	Result
2023-08-05	-Anonymous-	NF-PM1	B1=39000000000, B2=163105468633407300
2021-08-02	ViliamF	NF-PM1	B1=500000000, B2=90500000000
2021-03-28	Joe S.	C-PRP	M6361/404816368127/2169870252318063137/468366730522227935807/46474926955338819293975401031/1509960892158539170114369921415306057 : 4679CB95E27404E0 PRP: Verified PRP without proof (small exponent)
2021-03-25	mnd9	C-PRP	M6361/404816368127/2169870252318063137/468366730522227935807/46474926955338819293975401031/1509960892158539170114369921415306057 : 4679CB95E27404E0 PRP: Verified PRP without proof (small exponent)
2021-03-25	Ryan Propper	F-ECM	Factor: 1509960892158539170114369921415306057 / (ECM curve 1, B1=43000000, B2=198654756318, Sigma=6632632206909616920)
2020-04-17	Oliver Kruse	C-PRP	M6361/404816368127/2169870252318063137/468366730522227935807/46474926955338819293975401031 : 4679CB95E27404E0 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M6361/404816368127/2169870252318063137/468366730522227935807/46474926955338819293975401031 : 1675A882BF363258 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M6361/404816368127/2169870252318063137/468366730522227935807/46474926955338819293975401031 : 1675A882BF363258 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6361/known_factors : 1675A882BF363258 PRP without proof (not generated)