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.

A332849 a(n) = prime(n)^prime(n+1) + prime(n) + prime(n+1).

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%I A332849 #18 Nov 02 2023 16:11:58
%S A332849 13,251,78137,1977326761,34522712143955,8650415919381337963,
%T A332849 239072435685151324847189,257829627945307727248226067301,
%U A332849 3091058643093537522799545838540043339115,2159424054808578564166497528588784562372597489,15148954872646847105498509334067131813327318808179940579
%N A332849 a(n) = prime(n)^prime(n+1) + prime(n) + prime(n+1).
%C A332849 a(n) is prime for n = 1,2,3,4, but for no other n < 500.
%C A332849 On the other hand, prime(n+1)^prime(n)+prime(n)+prime(n+1) is not prime for n < 500. - _Robert Israel_, Feb 27 2020
%H A332849 Robert Israel, <a href="/A332849/b332849.txt">Table of n, a(n) for n = 1..75</a>
%F A332849 a(n) = A053089(n) + A001043(n). - _Omar E. Pol_, Feb 26 2020
%e A332849 a(3) = 5^7 + 5 + 7 = 78137.
%p A332849 seq(ithprime(i)^ithprime(i+1)+ithprime(i)+ithprime(i+1),i=1..20);
%t A332849 Map[#[[1]]^#[[2]]+Total[#]&,Partition[Prime[Range[15]],2,1]] (* _Paolo Xausa_, Nov 02 2023 *)
%Y A332849 Cf. A001043, A000040, A053089.
%K A332849 nonn
%O A332849 1,1
%A A332849 _J. M. Bergot_ and _Robert Israel_, Feb 26 2020