10 343 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
6878002294780817	16	52.6	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1282 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	007C917FC2950ED7	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	007C917FC2950ED7	1	51	1	3
Verified	2020-04-17	Oliver Kruse	A096A27EC609E77D	1	5907	5	3
Verified	2024-07-01	kkmrkkblmbrbk	A096A27EC609E77D	1	9849	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M10343/6878002294780817 : A096A27EC609E77D PRP: Verified PRP without proof (small exponent)
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 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M10343/6878002294780817 : 007C917FC2950ED7 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10343/6878002294780817 : 007C917FC2950ED7 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10343/6878002294780817 : 007C917FC2950ED7 PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12