10 259 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
8001618257561	13	42.9	old
5808550933077791	16	52.4	2008-08-29 02:24:25

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	3287 / 16550

Estimated T-Level: 46.0 ⓘ

TF below 2^148 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	D6201DF89EB428AB	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	D6201DF89EB428AB	2	228	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	48122A446FB92FFF	2	3081	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	48122A446FB92FFF	2	6805	5	3

History

Date	User	Type	Result
2025-02-27	masser	NF-PP1	Start=189/17, B1=640000000, B2=639360000000
2025-02-19	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-30	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10259/5808550933077791/8001618257561 : 48122A446FB92FFF
2022-10-10	-anonymous-	NF-PM1	B1=100000000000, B2=121570702234581600
2021-08-01	ViliamF	NF-PM1	B1=250000000, B2=40250000000
2020-04-17	Oliver Kruse	C-PRP	M10259/8001618257561/5808550933077791 : 48122A446FB92FFF
2017-10-12	kkmrkkblmbrbk	C-PRP	M10259/8001618257561/5808550933077791 : D6201DF89EB428AB
2017-09-21	Oliver Kruse	C-PRP	M10259/8001618257561/5808550933077791 : D6201DF89EB428AB
2017-09-21	Oliver Kruse	C-PRP	M10259/8001618257561/5808550933077791 : D6201DF89EB428AB
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-anonymous-	F	Factor: 5808550933077791