OFFSET
1,1
COMMENTS
Are all terms prime numbers?
Conjecture: all terms of the intersection with A350176 are prime numbers.
MATHEMATICA
Select[Range[3, 70000], Divisible[Binomial[3^# - 3, 2], Binomial[#, 3]] &] (* Amiram Eldar, Jan 21 2022 *)
PROG
(Magma) [n: n in [3..10^4] | IsZero(Binomial(3^n-3, 2) mod Binomial(n, 3))];
(PARI) is(k) = if(k>2, my(m=Mod(3, (k^3+2*k)/3-k^2)^k); m^2-7*m+12==0); \\ Jinyuan Wang, Jan 22 2022
CROSSREFS
KEYWORD
nonn
AUTHOR
Juri-Stepan Gerasimov, Jan 21 2022
EXTENSIONS
More terms from Jinyuan Wang, Jan 22 2022
STATUS
approved