10 859 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
542951	6	19.1	old
2051370673717289	16	50.9	2008-08-26 19:58:33
676839210304734713	18	59.2	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	9201 / 9201
50	44000000	2422 / 16550

Estimated T-Level: 45.7 ⓘ

TF below 2^147 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	A60AADD8629B8439	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	A60AADD8629B8439	3	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	A60AADD8629B8439	3	6002	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	A91FCD3A45161061	3	370	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	A91FCD3A45161061	3	1398	5	3

History

Date	User	Type	Result
2025-02-23	masser	NF-PP1	Start=94/67, B1=640000000, B2=639360000000
2025-02-15	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-26	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10859/2051370673717289/542951/676839210304734713 : A91FCD3A45161061
2022-12-29	-anonymous-	NF-PM1	B1=100000000000, B2=122192573512709700
2020-04-17	Oliver Kruse	C-PRP	M10859/542951/2051370673717289/676839210304734713 : A91FCD3A45161061
2017-10-12	kkmrkkblmbrbk	C-PRP	M10859/542951/2051370673717289/676839210304734713 : A60AADD8629B8439
2017-10-02	kkmrkkblmbrbk	C-PRP	M10859/542951/2051370673717289/676839210304734713 : A60AADD8629B8439
2017-09-21	Oliver Kruse	C-PRP	M10859/542951/2051370673717289/676839210304734713 : A60AADD8629B8439
2017-09-21	Oliver Kruse	C-PRP	M10859/542951/2051370673717289/676839210304734713 : A60AADD8629B8439
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-anonymous-	F-ECM	Factor: 676839210304734713
2008-08-26	-anonymous-	F-PM1	Factor: 2051370673717289