cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A128030 Numbers k such that (16^k - 3^k)/13 is prime.

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%I A128030 #17 Mar 11 2023 23:06:50
%S A128030 2,3,31,467,1747,29683
%N A128030 Numbers k such that (16^k - 3^k)/13 is prime.
%C A128030 All terms are primes.
%C A128030 No other terms < 100000.
%t A128030 k=13; Select[ Prime[ Range[1,200] ], PrimeQ[ ((k+3)^# - 3^#)/k ]& ]
%o A128030 (PARI) is(n)=isprime((16^n-3^n)/13) \\ _Charles R Greathouse IV_, Feb 17 2017
%Y A128030 Cf. A028491 = numbers n such that (3^n - 1)/2 is prime. Cf. A057468 = numbers n such that 3^n - 2^n is prime. Cf. A059801 = numbers n such that 4^n - 3^n is prime. Cf. A121877 = numbers n such that (5^n - 3^n)/2 is a prime. Cf. A128024, A128025, A128026, A128027, A128028, A128029, A128031, A128032.
%K A128030 hard,more,nonn
%O A128030 1,1
%A A128030 _Alexander Adamchuk_, Feb 11 2007
%E A128030 1747 from _Farideh Firoozbakht_, Apr 08 2007
%E A128030 a(6)=29683 from _Robert Price_, Sep 13 2011