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.

A166852 Numbers k such that k^k + 3 is prime.

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%I A166852 #28 Oct 15 2024 11:07:44
%S A166852 2,1036,2770
%N A166852 Numbers k such that k^k + 3 is prime.
%C A166852 Numbers corresponding to a(2) and a(3) are probable primes. 2770 is in the sequence so 2770^2770 + 3 is a probable prime; it is interesting that 277027703 is also prime. For the first term we have the same property: both 2^2 + 3 and 223 are prime.
%C A166852 For k = -1, k^k + 3 = 2 is prime but sequence focuses on the positive values of k. - _Altug Alkan_, Nov 28 2015
%C A166852 a(4) > 25000. - _Michael S. Branicky_, Oct 15 2024
%t A166852 Do[If[GCD[n,3]==1&&PrimeQ[n^n+3],Print[n]],{n,2,5362,2}]
%o A166852 (PARI) is(n)=ispseudoprime(n^n+3) \\ _Charles R Greathouse IV_, Jun 13 2017
%Y A166852 Cf. A087037, A100407, A100408, A166853.
%K A166852 hard,more,nonn,bref
%O A166852 1,1
%A A166852 _Farideh Firoozbakht_, Nov 20 2009