10 973 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
65839	5	16.0	old
153623	6	17.2	2008-08-26 19:58:33
18434641	8	24.1	2008-08-26 19:58:33
5756093889813103	16	52.4	2008-08-26 19:58:33
1410107437339435073	19	60.3	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	2420 / 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	A9B865F079422DD0	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	A9B865F079422DD0	5	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	A9B865F079422DD0	5	5984	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	70764FA909394A62	5	1995	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	70764FA909394A62	5	3755	5	3

History

Date	User	Type	Result
2025-02-22	masser	NF-PP1	Start=172/37, B1=640000000, B2=639360000000
2025-02-14	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	M10973/1410107437339435073/153623/18434641/5756093889813103/65839 : 70764FA909394A62
2022-12-29	-anonymous-	NF-PM1	B1=100000000000, B2=122192573512709700
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2020-04-17	Oliver Kruse	C-PRP	M10973/65839/153623/18434641/5756093889813103/1410107437339435073 : 70764FA909394A62
2017-10-12	kkmrkkblmbrbk	C-PRP	M10973/65839/153623/18434641/5756093889813103/1410107437339435073 : A9B865F079422DD0
2017-10-02	kkmrkkblmbrbk	C-PRP	M10973/65839/153623/18434641/5756093889813103/1410107437339435073 : A9B865F079422DD0
2017-09-21	Oliver Kruse	C-PRP	M10973/65839/153623/18434641/5756093889813103/1410107437339435073 : A9B865F079422DD0
2017-09-21	Oliver Kruse	C-PRP	M10973/65839/153623/18434641/5756093889813103/1410107437339435073 : A9B865F079422DD0
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-anonymous-	F-ECM	Factor: 1410107437339435073
2008-08-26	-anonymous-	F-PM1	Factor: 5756093889813103
2008-08-26	-anonymous-	F	Factor: 18434641
2008-08-26	-anonymous-	F	Factor: 153623