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.

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).

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%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