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

2, 13, 23, 113, 137, 373, 1973, 1733, 1373, 11317, 17333, 31379, 37337, 113173, 211373, 313739, 337397, 1113173, 1137337, 2313797, 2337397, 11131733, 12337397, 11373379, 33133733, 111733373, 113137337, 123733739, 291733373, 113733797, 1173313373, 1137333137, 1237337393, 1137337973

Offset: 1

Author

Hieronymus Fischer, Aug 26 2012

Keywords

• nonn
• base

Examples

			a(1)=2, since 2 is a prime has 1 prime substring (2).
a(2)=13, since 13 is prime and has 2 prime substrings (3 and 13)
		

Links

• Hieronymus Fischer, Table of n, a(n) for n = 1..40

Crossrefs

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

Cf. A035244, A079307, A213300 - A213320.

Formula

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

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

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