

A213301


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


2



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
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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



