15 361 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
56408763616393	14	45.7	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	1715 / 4588

Estimated T-Level: 36.9 ⓘ

TF below 2^117 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	6318BBCA87B46B44	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	6318BBCA87B46B44	1	1652	1	3
Verified	2020-04-17	Oliver Kruse	AC857274AB14B081	1	9848	5	3
Verified	2024-07-01	kkmrkkblmbrbk	AC857274AB14B081	1	11528	5	3

P-1 factors

Date	Factor	B1	B2
2022-03-22	56408763616393	10000000000	10000000000

History

Date	User	Type	Result
2025-01-10	masser	NF-PP1	Start=6/5, B1=180000000, B2=179820000000
2025-01-03	masser	NF-PP1	Start=148/47, B1=180000000, B2=179820000000
2024-12-09	masser	NF-PP1	Start=2/7, B1=180000000, B2=179820000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M15361/56408763616393 : AC857274AB14B081 PRP: Verified PRP without proof (small exponent)
2024-03-07	-Anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2022-03-31	Ethan O'Connor	NF-PM1	B1=10000000000, B2=927264583755510
2022-03-22	onlinegame	F-PM1	Factor: 56408763616393 / (P-1, B1=10000000000)
2022-02-06	Lisander Viaene	NF-PM1	B1=50000
2020-04-17	Oliver Kruse	C-PRP	M15361/56408763616393 : AC857274AB14B081 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M15361/56408763616393 : 6318BBCA87B46B44 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M15361/56408763616393 : 6318BBCA87B46B44 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M15361/56408763616393 : 6318BBCA87B46B44 PRP without proof (not generated)