Search: id:A122715
Results 1-1 of 1 results found.

%I A122715
%S A122715 521,19687,40353611,27206534396294951,58871586708267917,
%T A122715 977752464192721105849427,1733003264116942402576542827,
%U A122715 24847921085939626319928324473,114264841877247135195655381697
%N A122715 Primes of the form p^2 + q^9 where p and q are primes.
%C A122715 p and q cannot both be odd. Thus p=2 or q=2. There are no primes of the 
               form 2^9 + q^2 other than 3^2 + 2^9 = 521. Hence all solutions are 
               of the form 2^2 + q^9.
%F A122715 {a(n)} = {p^2 + q^9 in A000040 where p and q are in A000040}.
%e A122715 a(1) = 3^2 + 2^9 = 521.
%e A122715 a(2) = 2^2 + 3^9 = 19687.
%e A122715 a(3) = 2^2 + 7^9 = 40353611.
%e A122715 a(4) = 2^2 + 67^9 = 27206534396294951.
%e A122715 a(5) = 2^2 + 73^9 = 58871586708267917.
%e A122715 a(6) = 2^2 + 453^9 = 803311192691904837821737.
%t A122715 s = {521}; Do[ pq = Prime@p^9 + 4; If[ PrimeQ@pq, AppendTo[s, pq]], {p, 
               300}]; s (* Robert G. Wilson v *)
%Y A122715 Cf. A000040, A045700 Primes of form p^2+q^3 where p and q are prime, 
               A122617 Primes of form p^3+q^4 where p and q are primes.
%Y A122715 Sequence in context: A004948 A138063 A167734 this_sequence A153180 A015291 
               A028484
%Y A122715 Adjacent sequences: A122712 A122713 A122714 this_sequence A122716 A122717 
               A122718
%K A122715 easy,nonn
%O A122715 1,1
%A A122715 Jonathan Vos Post (jvospost3(AT)gmail.com), Sep 23 2006
%E A122715 More terms from Robert G. Wilson v Sep 26 2006

Search completed in 0.001 seconds