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.

A213319 Numbers with exactly 12 nonprime substrings (substrings with leading zeros are considered to be nonprime).

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%I A213319 #7 Sep 01 2012 11:49:19
%S A213319 10023,10053,10067,10073,10079,10093,10097,10107,10112,10115,10119,
%T A213319 10122,10125,10129,10141,10143,10147,10152,10155,10170,10174,10176,
%U A213319 10178,10181,10183,10190,10194,10196,10198,10212,10215,10219
%N A213319 Numbers with exactly 12 nonprime substrings (substrings with leading zeros are considered to be nonprime).
%C A213319 The sequence is finite. Proof: Each 9-digit number has at least 15 nonprime substrings. Thus, each number with more than 9 digits has >= 15 nonprime substrings, too. Consequently, there is a boundary b<10^9, such that all numbers > b have more than 12 nonprime substrings.
%C A213319 The first term is a(1)=10023=A213302(12). The last term is a(51477)=99733313=A213300(12).
%H A213319 Hieronymus Fischer, <a href="/A213319/b213319.txt">Table of n, a(n) for n = 1..51477</a>
%e A213319 a(1)=10023, since 10023 has 12 nonprime substrings (0, 0, 1, 00, 02, 10, 002, 023, 100, 0023, 1002, 10023).
%e A213319 a(51477)=99733313, since there are 11 nonprime substrings (1, 9, 9, 33, 33, 99, 333, 973, 33313, 97333, 733313, 99733313).
%Y A213319 Cf. A019546, A035232, A039996, A046034, A069489, A085823, A211681, A211682, A211684, A211685.
%Y A213319 Cf. A035244, A079307, A213300 - A213321.
%K A213319 nonn,fini,base
%O A213319 1,1
%A A213319 _Hieronymus Fischer_, Aug 26 2012