|
|
A109769
|
|
Composite n such that binomial(7*n, n) == 7^n (mod n).
|
|
2
|
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
No other terms below 10^9.
|
|
LINKS
|
|
|
EXAMPLE
|
18 is a term because binomial(7*18, 18) = 2797093093529137508875, 7^18 = 1628413597910449 and 2797093093529137508875 mod 18 = 1628413597910449 mod 18 = 1.
|
|
MATHEMATICA
|
Do[If[ !PrimeQ[n], If[Mod[Binomial[7*n, n], n] == Mod[7^n, n], Print[n]]], {n, 2, 20000}]
|
|
CROSSREFS
|
|
|
KEYWORD
|
more,nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|