10 559 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
193546471	9	27.5	old
474031589510169985519	21	68.7	2008-08-29 02:24:26

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1292 / 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	2017-09-21	Oliver Kruse	BE889E2FF698913B	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	BE889E2FF698913B	2	9868	1	3
Verified	2020-04-17	Oliver Kruse	1CE72D3F8ECABC32	2	3856	5	3
Verified	2024-07-01	kkmrkkblmbrbk	1CE72D3F8ECABC32	2	2613	5	3

P-1 factors

Date	Factor	B1	B2
2022-11-09	474031589510169985519	100000000000	120443211520241616

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M10559/193546471/474031589510169985519 : 1CE72D3F8ECABC32 PRP: Verified PRP without proof (small exponent)
2022-11-09	-Anonymous-	F-PM1	Factor: 474031589510169985519 / (P-1, B1=100000000000, B2=120443211520241610)
2021-08-02	ViliamF	NF-PM1	B1=250000000, B2=40250000000
2020-04-17	Oliver Kruse	C-PRP	M10559/193546471/474031589510169985519 : 1CE72D3F8ECABC32 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M10559/193546471/474031589510169985519 : BE889E2FF698913B PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10559/193546471/474031589510169985519 : BE889E2FF698913B PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10559/193546471/474031589510169985519 : BE889E2FF698913B PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-Anonymous-	F-ECM	Factor: 474031589510169985519