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A213305 Minimal prime with n nonprime substrings (Version 1: substrings with leading zeros are considered to be nonprime). 2

%I #15 Oct 24 2014 04:14:23

%S 2,13,11,127,103,101,1013,1019,1021,1009,10177,10037,10067,10007,

%T 10009,100237,100271,100153,100043,100003,100049,1001173,1000313,

%U 1000037,1000033,1000039,1000003,1000081,10000379,10001237,10000223

%N Minimal prime with n nonprime substrings (Version 1: substrings with leading zeros are considered to be nonprime).

%H Hieronymus Fischer, <a href="/A213305/b213305.txt">Table of n, a(n) for n = 0..100</a>

%F a(n) > 10^floor((sqrt(8*n+1)-1)/2) for n>0.

%F a(m(m+1)/2) > 10^m, m>0.

%F a(n) >= A213302(n).

%e a(0) = 2, since 2 is the least prime with zero nonprime substrings.

%e a(1) = 13, since 13 is the least prime with exactly 1 (“1”) nonprime substrings.

%e a(2) = 11, since 11 is the least prime with exactly 2 (“1” and “1”) nonprime substrings.

%Y Cf. A019546, A035232, A039996, A046034, A069489, A085823, A211681, A211682, A211684, A211685.

%Y Cf. A035244, A079307, A213300 - A213321.

%K nonn,base

%O 0,1

%A _Hieronymus Fischer_, Aug 26 2012

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Last modified April 25 05:18 EDT 2024. Contains 371964 sequences. (Running on oeis4.)