A213318 Numbers with exactly 11 nonprime substrings (substrings with leading zeros are considered to be nonprime).

10037, 10103, 10111, 10117, 10123, 10127, 10130, 10134, 10136, 10138, 10151, 10153, 10157, 10159, 10163, 10167, 10171, 10172, 10175, 10191, 10192, 10195, 10199, 10213, 10217, 10227, 10229, 10231, 10232, 10235, 10239, 10243

Offset

1,1

Comments

The sequence is finite. Proof: Each 9-digit number has at least 15 nonprime substrings. Thus, each number with more than 9 digits has >= 15 nonprime substrings, too. Consequently, there is a boundary b<10^9, such that all numbers > b have more than 11 nonprime substrings.

The first term is a(1)=10037=A213302(11). The last term is a(32869)=82337397=A213300(11).

Links

Hieronymus Fischer, Table of n, a(n) for n = 1..32869

Example

a(1)= 10037, since 10037 has 11 nonprime substrings (0, 0, 1, 00, 03, 10, 003, 037, 100, 0037, 1003).
a(32869)= 82337397, since there are 11 nonprime substrings (8, 9, 33, 39, 82, 2337, 7397, 23373, 82337, 233739, 82337397).

Crossrefs

Cf. A019546, A035232, A039996, A046034, A069489, A085823, A211681, A211682, A211684, A211685, A035244, A079307, A213300 - A213321.

Sequence in context: A245209 A205822 A251136 * A346026 A097648 A374372

Adjacent sequences: A213315 A213316 A213317 * A213319 A213320 A213321

Keyword

nonn,base,fini

Author

Hieronymus Fischer, Aug 26 2012

Status

approved