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Primes of the form 2^k + 3^k + 6.
1

%I #14 Jun 04 2022 14:16:41

%S 11,19,41,103,281,6823,20201,14381681,387682639,94151567441,

%T 282446313703,5559069156490121,16677198879535759,50031579458738081,

%U 984770919775797277303,1144561273440060866922804472241,969773729787523912361831763509149540341223,2909321189362571427600485469182379896242601

%N Primes of the form 2^k + 3^k + 6.

%C Conjecture: There are infinitely many primes of the form 2^k + 3^k + 6.

%e 2^1 + 3^1 + 6 = 11, which is a prime.

%e 2^2 + 3^2 + 6 = 19, which is a prime.

%t Select[Table[2^n + 3^n + 6,{n,1,1000}],PrimeQ]

%Y Cf. A075996.

%K nonn

%O 1,1

%A _Hemjyoti Nath_, Apr 23 2022