10 343 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
6878002294780817	16	52.6	old
14922457679280583115302637969350430285681	41	133.5	2025-05-29 03:02:10

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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	007C917FC2950ED7	1	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	007C917FC2950ED7	1	51	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	A096A27EC609E77D	1	5907	5	3
Factored	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	A096A27EC609E77D	1	9849	5	3
Verified	No proof (small exponent)	2025-05-29	nordi	A096A27EC609E77D	2	5807	5	3

History

Date	User	Type	Result
2025-05-29	nordi	C-PRP	M10343/6878002294780817/14922457679280583115302637969350430285681 : A096A27EC609E77D
2025-05-29	nordi	F-ECM	Factor: 14922457679280583115302637969350430285681 / ECM curve 187, B1=44000000, B2=1117403522235, Edwards Sigma=191055963277454
2025-02-25	masser	NF-PP1	Start=103/17, B1=640000000, B2=639360000000
2025-02-18	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-29	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10343/6878002294780817 : A096A27EC609E77D
2022-10-22	-anonymous-	NF-PM1	B1=100000000000, B2=120170262311539440
2021-08-02	ViliamF	NF-PM1	B1=250000000, B2=40250000000
2020-04-17	Oliver Kruse	C-PRP	M10343/6878002294780817 : A096A27EC609E77D
2017-10-12	kkmrkkblmbrbk	C-PRP	M10343/6878002294780817 : 007C917FC2950ED7
2017-09-21	Oliver Kruse	C-PRP	M10343/6878002294780817 : 007C917FC2950ED7
2017-09-21	Oliver Kruse	C-PRP	M10343/6878002294780817 : 007C917FC2950ED7
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2009-03-02	Carsten Kossendey	F	Factor: 6878002294780817