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A245277 Largest prime all of whose substrings in its base n representation are primes.

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%I A245277 #14 May 31 2022 14:29:48
%S A245277 2,11,67,23,37,491,47,373,79,6043,379,2203,647,3389,631,34807,211,
%T A245277 28663,1283,6449,439,266003,577,15649,1811,244471,379,485504623,157,
%U A245277 31907,2939,15269,2557,22948529,853,197959,743,59723,113,96873817
%N A245277 Largest prime all of whose substrings in its base n representation are primes.
%C A245277 For detailed comments for a(10)=373, see A085823 and A213300.
%H A245277 Rémy Sigrist, <a href="/A245277/b245277.txt">Table of n, a(n) for n = 3..2500</a>
%H A245277 Rémy Sigrist, <a href="/A245277/a245277.gp.txt">PARI program</a>
%e A245277 a(5) = 67 = 232_5, since all its substrings in base 5 (2, 3, 23_5 = 13, 32_5 = 17 and 232_5 = 67) are primes. There are no greater primes with this property.
%o A245277 (PARI) See Links section.
%Y A245277 Cf. A085823, A213300.
%K A245277 nonn,base
%O A245277 3,1
%A A245277 _Joonas Pohjonen_, Jul 16 2014