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.

A136335 Indices of the primes p for which the number of representations of p as the sum of a perfect prime power (A025475: q^e with e>1) and an integer k which is less than q exceeds one.

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%I A136335 #3 Mar 30 2012 18:50:59
%S A136335 10,31,14774,14775,65686,110128,110129,110130,110131,110132,110133,
%T A136335 110134,110135,110136,110137,165952,165953,165954,165955,165956,
%U A136335 165957,165958,304841,304842,304843,304844,304845,304846,304847
%N A136335 Indices of the primes p for which the number of representations of p as the sum of a perfect prime power (A025475: q^e with e>1) and an integer k which is less than q exceeds one.
%C A136335 Where A138363 exceeds 1.
%e A136335 A000040(10)=29; A138363(10) = #{4+5^2, 2+3^3} = 2.
%t A136335 f[n_] := Block[{c = 0, e, j, k = 1, p = Prime@n, q}, j = 1 + PrimePi@ Sqrt@ p; While[k < j, q = Prime@k; If[p < q + q^Floor@ Log[q, p], c++ ]; k++ ]; c]; lst = {}; Do[ If[f@n > 1, AppendTo[lst, n]; Print[Prime@n]], {n, 25*10^5}]
%Y A136335 Cf. A138363, A074267.
%K A136335 nonn
%O A136335 1,1
%A A136335 _Reinhard Zumkeller_ & _Robert G. Wilson v_, Mar 23 2008