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.

A213308 Numbers with exactly one nonprime substring (substrings with leading zeros are considered to be nonprime).

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%I A213308 #7 Sep 01 2012 11:47:37
%S A213308 1,4,6,8,9,13,17,22,25,27,29,31,32,33,35,43,47,52,55,57,59,67,71,72,
%T A213308 75,77,79,83,97,137,173,223,233,237,313,317,337,353,379,523,537,673,
%U A213308 733,737,773,797,1373,3137,3373,3733,3797
%N A213308 Numbers with exactly one nonprime substring (substrings with leading zeros are considered to be nonprime).
%C A213308 The sequence is finite. Proof: Each 5-digit number has at least 2 nonprime substrings. Thus, each number with more than 5 digits has >= 2 nonprime substrings, too. Consequently, there is a boundary b<10^4, such that all numbers > b have at least 2 nonprime substrings.
%C A213308 The first term is a(1)=1=A213302(1). The last term is a(51)=3797=A213300(1).
%H A213308 Hieronymus Fischer, <a href="/A213308/b213308.txt">Table of n, a(n) for n = 1..51</a>
%e A213308 a(1)=1, since 1 has one nonprime substring.
%e A213308 a(51)=3797, since the only nonprime substring of 3797 is 9.
%Y A213308 Cf. A019546, A035232, A039996, A046034, A069489, A085823, A211681, A211682, A211684, A211685.
%Y A213308 Cf. A035244, A079307, A213300 - A213321.
%K A213308 nonn,fini,base
%O A213308 1,2
%A A213308 _Hieronymus Fischer_, Aug 26 2012