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A164065 Prime p3 of the sequence A164063: a^b - c^d = p1 (A164063), where a, b, c, d are primes and a + b + c + d = p2 (A164064), where p2 is prime and conc(abcd) = p3 (concatenation of a, b, c , d) is also prime. 2

%I

%S 2753,3323,313211,31327,217313,21773,77213

%N Prime p3 of the sequence A164063: a^b - c^d = p1 (A164063), where a, b, c, d are primes and a + b + c + d = p2 (A164064), where p2 is prime and conc(abcd) = p3 (concatenation of a, b, c , d) is also prime.

%e 2^7 - 5^3 = 3, 2 + 7 + 5 + 3 = 17, conc (abcd) = 2753; 3^3 - 2^3 = 19, 3 + 3 + 2 + 3 = 11, conc (abcd) = 3323; 31^3 - 2^11 = 27743, 31 + 3 + 2 + 11 = 47, conc (abcd) = 313211; 31^3 - 2^7 = 29663, 31 + 3 + 2 + 7 = 43, conc (abcd) = 31327;

%K nonn,base

%O 1,1

%A _Oleg Zyakun_, Aug 12 2009

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Last modified February 8 15:16 EST 2023. Contains 360149 sequences. (Running on oeis4.)