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.
%I A176792 #18 Sep 08 2022 08:45:53 %S A176792 7,79,1021,3486784393,155568095557812211, %T A176792 6176733962839469999999999999999999999999999971 %N A176792 Primes in A014293. %C A176792 Prime solutions to the classical "Monkey and Coconut Problem." Primes of the form n^(n+1)-n+1. A014293(n) is prime for n = 2, 3, 4, 9, 14, 30, 62, 75, 156, ..., . %C A176792 The next term has 113 digits. %F A176792 {n^(n+1)-n+1 : n nonnegative integer and n^(n+1)-n+1 in A000040} == A014293 INTERSECTION A000040. %e A176792 A014293(0) = A014293(1) = 1 is nonprime, so 1 is not in this sequence. %e A176792 A014293(2) = 7 is prime, so 7 is in this sequence. %e A176792 A014293(3) = 79 is prime, so 79 is in this sequence. %e A176792 A014293(4) = 1021 is prime, so 1021 is in this sequence. %e A176792 A014293(5) = 15621 = 3 * 41 * 127 is nonprime, so 15621 is not in this sequence. %t A176792 Select[#^(# + 1) - # + 1 & /@ Range@ 75, PrimeQ] %o A176792 (Magma) [ a: n in [0..250] | IsPrime(a) where a is (n^(n+1)-n+1)] // _Vincenzo Librandi_, Jan 30 2011 %Y A176792 Cf. A000040. %K A176792 nonn %O A176792 1,1 %A A176792 _Jonathan Vos Post_, Dec 07 2010