A386618 Primes of the form 2^k + 13^k.

2, 173, 815730977

Offset: 1

Author

Vincenzo Librandi, Aug 17 2025

Keywords

• nonn
• new

Comments

If 13^k + 2^k is prime then k is either 0 or a power of 2. The corresponding values of k for a(1)-a(4) are 0, 2, 8 and 512. The fourth value is too long to enter.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..4

Crossrefs

Cf. A082101, A094475, A094476, A094477, A176946, A176947.

Programs

Magma

[a: n in [0..200] | IsPrime(a) where a is 13^n+2^n ];

Mathematica

Select[Table[2^n+13^n,{n,0,600}],PrimeQ]