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A213321 Minimal prime with n prime substrings (substrings with leading zeros are considered to be nonprime). 46

%I #14 Oct 27 2014 04:37:49

%S 2,13,23,113,137,373,1973,1733,1373,11317,17333,31379,37337,113173,

%T 211373,313739,337397,1113173,1137337,2313797,2337397,11131733,

%U 12337397,11373379,33133733,111733373,113137337,123733739,291733373,113733797,1173313373,1137333137,1237337393,1137337973

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

%H Hieronymus Fischer, <a href="/A213321/b213321.txt">Table of n, a(n) for n = 1..40</a>

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

%F min(a(k), k>=n-1) <= A079397(n-1), n>0.

%F a(n) >= A035244(n), n>0.

%e a(1)=2, since 2 is a prime has 1 prime substring (2).

%e a(2)=13, since 13 is prime and has 2 prime substrings (3 and 13)

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

%Y Cf. A035244, A079307, A213300 - A213320.

%K nonn,base

%O 1,1

%A _Hieronymus Fischer_, Aug 26 2012

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Last modified April 24 04:02 EDT 2024. Contains 371918 sequences. (Running on oeis4.)