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.

A100546 Difference between the smallest semiperimeter (see A063655) and its integer log (A001414) equals 1.

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%I A100546 #3 Sep 24 2013 00:41:41
%S A100546 2,3,5,7,11,13,17,18,19,23,24,29,30,31,37,41,42,43,47,53,59,61,66,67,
%T A100546 71,73,78,79,83,89,97,101,102,103,107,109,113,114,127,131,137,138,139,
%U A100546 149,151,157,163,167,173,174,179,181,186,191,193,197,199,211,222,223,227
%N A100546 Difference between the smallest semiperimeter (see A063655) and its integer log (A001414) equals 1.
%C A100546 Theorem: Except for 24, the sequence is the union of primes and 6*primes.
%e A100546 Any prime p, since it has semiperimeter p+1 and its integer log is p.
%t A100546 logint = Function[n, Module[{vn}, vn = Transpose[FactorInteger[n]];vn[[1]].vn[[2]] ]]; semiperi = Function[n, Min[Divisors[n] + Reverse[Divisors[n]]]]; sq = {}; Do[If[semiperi[k] == logint[k] + 1, AppendTo[sq, k]], {k, 2, 500}]; sq
%Y A100546 Cf. A001414 and A063655.
%K A100546 nonn
%O A100546 0,1
%A A100546 _Carlos Alves_, Dec 31 2004