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

1,1

Links

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

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.

Example

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)

Crossrefs

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

Cf. A035244, A079307, A213300 - A213320.

Sequence in context: A372600 A035244 A085822 * A093301 A079397 A118524

Adjacent sequences: A213318 A213319 A213320 * A213322 A213323 A213324

Keyword

nonn,base

Author

Hieronymus Fischer, Aug 26 2012

Status

approved