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 A229266 #21 Jul 28 2025 20:53:31 %S A229266 3,23,557,1289,2447,3779,9209,10331,11351,18367,14051,34351,42953, %T A229266 67883,95717,96587,134807,164249,193057,310553,253159,321397,383723, %U A229266 548213,657311,499151,630023,516251,732181,713927,927013,932431,784627,906473,855331,1121987 %N A229266 Primes of the form sigma(k) + tau(k) + phi(k), where sigma(k) = A000203(k), tau(k) = A000005(k) and phi(k) = A000010(k). %e A229266 The third term of A229265 is 200 and sigma(200) + tau(200) + phi(200) = 465 + 12 + 80 = 557 is prime. %p A229266 with(numtheory); P:=proc(q) local a, n; for n from 1 to q do a:=sigma(n)+tau(n)+phi(n); %p A229266 if isprime(a) then print(a); fi; od; end: P(10^6); %t A229266 Select[Table[DivisorSigma[0,n]+DivisorSigma[1,n]+EulerPhi[n],{n,10^6}],PrimeQ] (* _Harvey P. Dale_, Oct 03 2023 *) %Y A229266 Cf. A000005, A000010, A000203, A009087, A023194, A038344, A055813, A062700, A064205, A115919, A141242, A229264, A229265, A065061, A229268. %K A229266 nonn %O A229266 1,1 %A A229266 _Paolo P. Lava_, Sep 18 2013