10 723 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
776172674002226424367	21	69.4	old
28491138232647635855151551	26	84.6	2008-08-29 02:24:26

P-1 factors

Date	Factors	B1	B2
2022-12-29	No new factors discovered	100000000000	122192573512709696

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	9DC41B521A69CC59	2	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	9DC41B521A69CC59	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	9DC41B521A69CC59	2	10013	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	61B4317214851691	2	8432	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	61B4317214851691	2	9860	5	3

History

Date	User	Type	Result
2025-02-24	masser	NF-PP1	Start=148/31, B1=640000000, B2=639360000000
2025-02-16	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-27	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10723/28491138232647635855151551/776172674002226424367 : 61B4317214851691
2022-12-29	-anonymous-	F-PM1	Factor: 776172674002226424367 / B1=100000000000, B2=122192573512709700
2020-04-17	Oliver Kruse	C-PRP	M10723/776172674002226424367/28491138232647635855151551 : 61B4317214851691
2017-10-12	kkmrkkblmbrbk	C-PRP	M10723/776172674002226424367/28491138232647635855151551 : 9DC41B521A69CC59
2017-10-02	kkmrkkblmbrbk	C-PRP	M10723/776172674002226424367/28491138232647635855151551 : 9DC41B521A69CC59
2017-09-21	Oliver Kruse	C-PRP	M10723/776172674002226424367/28491138232647635855151551 : 9DC41B521A69CC59
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-anonymous-	F-ECM	Factor: 28491138232647635855151551