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Greatest Largest prime with n non-prime nonprime substrings (substrings with leading zeros are considered to be non-primenonprime).

a(0)=373, since 373 is the greatest prime such that all substrings are prime, hence it is the maximal prime with 0 non-prime nonprime substrings.

a(3)= 37397, since the non-prime nonprime substrings of 37337 are 9, 39 and 7397, and all greater primes have > 3 non-prime nonprime substrings.

nonn,changed,base

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allocated for Hieronymus FischerGreatest prime with n non-prime substrings (substrings with leading zeros are considered to be non-prime).

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

0,1

Hieronymus Fischer, <a href="/A213301/b213301.txt">Table of n, a(n) for n = 0..25</a>

a(0)=373, since 373 is the greatest prime such that all substrings are prime, hence it is the maximal prime with 0 non-prime substrings.

a(3)= 37397, since the non-prime substrings of 37337 are 9, 39 and 7397, and all greater primes have > 3 non-prime substrings.

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

Cf. A035244, A079307, A213300 - A213321.

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Hieronymus Fischer, Aug 26 2012

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allocated for Hieronymus Fischer

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