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A176936 Primes of the form 13^k + 10^k. 0

%I #13 Sep 08 2022 08:45:53

%S 2,23,269,38561,675416609183179841

%N Primes of the form 13^k + 10^k.

%C No further terms up to k = 10000. - _Harvey P. Dale_, Jan 23 2011

%C 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

%t Select[Table[13^n+10^n,{n,10000}],PrimeQ] (* _Harvey P. Dale_, Jan 23 2011 *)

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

%Y Cf. A176940.

%K nonn

%O 1,1

%A _Vincenzo Librandi_, Apr 29 2010

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Last modified April 25 12:33 EDT 2024. Contains 371969 sequences. (Running on oeis4.)