A176936 Primes of the form 13^k + 10^k.

2, 23, 269, 38561, 675416609183179841

Offset

1,1

Comments

No further terms up to k = 10000. - Harvey P. Dale, Jan 23 2011

If 13^k + 10^k is prime and k > 0, then k must be of the form 2^t. Because 13^k + 10^k is divisible by 13^m + 10^m, where m = A006519(k) and k > 0. Thus a(6) > 13^2^16 + 10^2^16. - Jinyuan Wang, May 31 2020

Links

Table of n, a(n) for n=1..5.

Mathematica

Select[Table[13^n+10^n, {n, 10000}], PrimeQ]  (* Harvey P. Dale, Jan 23 2011 *)

Prog

(Magma) [ a: n in [0..1500] | IsPrime(a) where a is 13^n+10^n ];

Crossrefs

Cf. A176940.

Sequence in context: A083427 A083470 A064110 * A126040 A354419 A367677

Adjacent sequences: A176933 A176934 A176935 * A176937 A176938 A176939

Keyword

nonn

Author

Vincenzo Librandi, Apr 29 2010

Status

approved