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 A320518 #18 Jul 18 2020 04:32:50 %S A320518 5,11,19,23,29,41,47,53,59,79,83,89,101,103,107,113,131,137,139,149, %T A320518 167,173,179,191,197,223,227,233,239,251,257,263,269,271,281,293,307, %U A320518 311,317,347,349,353,359,367,379,383,389,401,419,431,439,443,461,463 %N A320518 Zumkeller primes: k is prime and k + 1 is Zumkeller. %H A320518 Amiram Eldar, <a href="/A320518/b320518.txt">Table of n, a(n) for n = 1..10000</a> %p A320518 isZumkellerPrime := n -> isprime(n) and isZumkeller(n+1): %p A320518 A320518_list := upto -> select(isZumkellerPrime, [$1..upto]): A320518_list(500); %t A320518 ZumkellerQ[n_] := Module[{d = Divisors[n], ds, x}, ds = Total[d]; If[OddQ[ds], False, SeriesCoefficient[Product[1 + x^i, {i, d}], {x, 0, ds/2}] > 0]]; %t A320518 Select[Prime[Range[100]], ZumkellerQ[# + 1]&] (* _Jean-François Alcover_, Mar 01 2019 *) %Y A320518 Cf. A083207, A000040. %K A320518 nonn %O A320518 1,1 %A A320518 _Peter Luschny_, Oct 14 2018