A164079


Prime p3 of the sequence A164077: a^b + c^d = p1 (A164077), where a, b, c, d are primes and a + b + c + d = p2 (A164078), where p2 is prime and conc(abcd) = p3 (concatenation of a, b, c , d) is also prime.


2


%I
%S 5527,29327,2557,213713,219293,27893
%N Prime p3 of the sequence A164077: a^b + c^d = p1 (A164077), where a, b, c, d are primes and a + b + c + d = p2 (A164078), where p2 is prime and conc(abcd) = p3 (concatenation of a, b, c , d) is also prime.
%e 5^5 + 2^7 = 3253, 5 + 5 + 2 + 7 = 19, conc (abcd) = 5527; 29^3 + 2^7 = 24517, 29 + 3 + 2 + 7 = 41, conc (abcd) = 29327; 2^5 + 5^7 = 78157, 2 + 5 + 5 + 7 = 19, conc (abcd) = 2557; 2^13 + 71^3 = 366103, 2 + 13 + 71 + 3 = 89, conc (abcd) = 89; 213713
%K nonn,base
%O 1,1
%A _Oleg Zyakun_, Aug 12 2009
