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.

A105323 Numbers of the form 41*(2*10^n+1) where (2*10^n+1)/3 is prime (n is in the sequence A096507).

This page as a plain text file.
%I A105323 #5 Mar 30 2012 17:37:42
%S A105323 861,8241,82000041,8200000041,82000000041,8200000000041,
%T A105323 8200000000000000000041,8200000000000000000000041,
%U A105323 8200000000000000000000000000000000000000041
%N A105323 Numbers of the form 41*(2*10^n+1) where (2*10^n+1)/3 is prime (n is in the sequence A096507).
%C A105323 A105323=41*A093170=41*(2*10^A096507+1)=41*(2*10^(A056657+1)+1). If m is in the sequence then d(m)*reversal(m)=sigma(m) (see A104907). So this sequence is a subsequence of A104907.
%e A105323 861 is in the sequence because 861=41*(2*10^1+1); (2*10^1+1)/3=7 and 7 is prime.
%t A105323 Do[If[PrimeQ[(2*10^n + 1)/3], Print[41*(2*10^n + 1)]], {n, 63}]
%Y A105323 Cf. A104907, A056657, A096507, A093170.
%K A105323 nonn
%O A105323 1,1
%A A105323 _Farideh Firoozbakht_, Apr 16 2005