56 519 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
113039	6	16.8	old
5595833153	10	32.4	2008-08-26 20:08:42
4947966575637683706651849616166599793282610751	46	151.8	2023-04-24 00:54:11

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	548 / 4588

Estimated T-Level: 35.6 ⓘ

TF below 2^113 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	E634158ABA825759	2	0	1	3
Verified (Factored)	2017-10-13	kkmrkkblmbrbk	E634158ABA825759	2	4651	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	B68A1017DC2401C7	2	16191	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	B68A1017DC2401C7	1	2150	5	3
Verified	2023-04-24	JacobZ	B68A1017DC2401C7	3	11961	5	3

P-1 factors

Date	Factor	B1	B2
2023-04-24	4947966575637683706651849616166599793282610751	620000000	772483476494730

History

Date	User	Type	Result
2023-04-24	JacobZ	C-PRP	M56519/113039/5595833153/4947966575637683706651849616166599793282610751 : B68A1017DC2401C7 PRP: Verified PRP without proof (small exponent)
2023-04-24	JacobZ	F-PM1	Factor: 4947966575637683706651849616166599793282610751 / (P-1, B1=620000000, B2=772483476494730)
2023-04-16	carlos56	F-ECM	Factor: 113039 / (ECM curve 1, B1=1000000, B2=2187000000, Sigma=8706309450661003)
2022-05-12	Jorge Coveiro	C-PRP	M56519/113039 : B68A1017DC2401C7 PRP: Verified PRP without proof (small exponent)
2021-05-03	ATH	NF-PP1	Start=2/7, B1=15000000, B2=1500000000
2020-04-17	Oliver Kruse	C-PRP	M56519/113039/5595833153 : B68A1017DC2401C7 PRP: Verified PRP without proof (small exponent)
2017-10-13	kkmrkkblmbrbk	C-PRP	M56519/113039/5595833153 : E634158ABA825759 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M56519/113039/5595833153 : E634158ABA825759 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M56519/113039/5595833153 : E634158ABA825759 PRP without proof (not generated)
2016-10-02	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-08-26	-Anonymous-	F	Factor: 5595833153