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A176936 Primes of the form 13^k + 10^k. 0
2, 23, 269, 38561, 675416609183179841 (list; graph; refs; listen; history; text; internal format)
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 A294161 A088641

Adjacent sequences:  A176933 A176934 A176935 * A176937 A176938 A176939

KEYWORD

nonn

AUTHOR

Vincenzo Librandi, Apr 29 2010

STATUS

approved

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Last modified December 5 06:30 EST 2021. Contains 349532 sequences. (Running on oeis4.)