6 823 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
11610103966191879627695393	26	83.3	old
501384530513684635718861536754596686800734708257777905903	57	188.4	2021-06-10 14:50:30

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1325 / 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 (Factored)	2017-09-21	Oliver Kruse	7C0067E5F17A7E9D	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	7C0067E5F17A7E9D	1	3651	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	3F685F0B628BB44B	1	79	5	3
Verified	2021-06-10	mikr	3F685F0B628BB44B	2	4657	5	3
Verified	2021-06-10	riccardo uberti	3F685F0B628BB44B	2	5123	5	3

History

Date	User	Type	Result
2023-08-14	-Anonymous-	NF-PM1	B1=36000000000, B2=144596153139137700
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2021-06-10	riccardo uberti	C-PRP	M6823/11610103966191879627695393/501384530513684635718861536754596686800734708257777905903 : 3F685F0B628BB44B PRP: Verified PRP without proof (small exponent)
2021-06-10	mikr	C-PRP	M6823/11610103966191879627695393/501384530513684635718861536754596686800734708257777905903 : 3F685F0B628BB44B PRP: Verified PRP without proof (small exponent)
2021-06-10	Ryan Propper	F-ECM	Factor: 501384530513684635718861536754596686800734708257777905903 / (ECM curve 1, B1=110000000, B2=848581944226, Sigma=2545960469983457816)
2020-04-17	Oliver Kruse	C-PRP	M6823/11610103966191879627695393 : 3F685F0B628BB44B PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M6823/11610103966191879627695393 : 7C0067E5F17A7E9D PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6823/11610103966191879627695393 : 7C0067E5F17A7E9D PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6823/11610103966191879627695393 : 7C0067E5F17A7E9D PRP without proof (not generated)