A213301 Largest prime with n nonprime substrings (substrings with leading zeros are considered to be nonprime).

373, 3797, 37337, 37397, 373379, 831373, 973373, 3733739, 8313733, 9973331, 9721373, 52313797, 73313797, 97337333, 99793373, 373373977, 831373379, 799733317, 974313797, 991733137, 7331337337, 3797193373, 9719337973, 9917331373, 9793733797, 9974331373

Offset

0,1

Links

Hieronymus Fischer, Table of n, a(n) for n = 0..25

Example

a(0)=373, since 373 is the greatest prime such that all substrings are prime, hence it is the maximal prime with 0 nonprime substrings.
a(3)= 37397, since the nonprime substrings of 37337 are 9, 39 and 7397, and all greater primes have > 3 nonprime substrings.

Crossrefs

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

Cf. A035244, A079307, A213300 - A213321.

Sequence in context: A133559 A229499 A023313 * A213300 A219444 A134161

Adjacent sequences: A213298 A213299 A213300 * A213302 A213303 A213304

Keyword

nonn,base

Author

Hieronymus Fischer, Aug 26 2012

Status

approved