cp's OEIS Frontend

A213306 Minimal prime with n nonprime substrings (Version 2: substrings with leading zeros are counted as nonprime if the corresponding number is > 0).

%I A213306 #14 Oct 24 2014 04:14:30
%S A213306 2,13,11,103,101,149,1009,1021,1049,1481,10039,10069,10169,11681,
%T A213306 14669,100109,100189,100169,101681,104681,146669,1000669,1001041,
%U A213306 1001081,1004669,1014469,1046849,1468469,10001081,10004669,10010851
%N A213306 Minimal prime with n nonprime substrings (Version 2: substrings with leading zeros are counted as nonprime if the corresponding number is > 0).
%H A213306 Hieronymus Fischer, <a href="/A213306/b213306.txt">Table of n, a(n) for n = 0..100</a>
%F A213306 a(n) > 10^floor((sqrt(8*n+1)-1)/2), for n>2.
%F A213306 a(n) >= A213303(n).
%F A213306 a(n) <= A213307(n).
%e A213306 a(0) = 2, since 2 is the least number with zero nonprime substrings.
%e A213306 a(1) = 13, since 13 has 1 nonprime substring (=’1’).
%e A213306 a(2) = 11, since 11 is the least number with 2 nonprime substrings (= 2 times ‘1’).
%e A213306 a(3) = 103, since 103 is the least number with 3 nonprime substrings, these are ‘1’ and ‘10’ and ‘03’ (‘0’ is not a valid substring in version 2).
%Y A213306 Cf. A019546, A035232, A039996, A046034, A069489, A085823, A211681, A211682, A211684, A211685.
%Y A213306 Cf. A035244, A079307, A213300 - A213321.
%K A213306 nonn,base
%O A213306 0,1
%A A213306 _Hieronymus Fischer_, Aug 26 2012