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Values of r occurring in A063713.
2

%I #13 Feb 14 2018 06:12:13

%S 3,3,5,3,3,5,3,19,5,3,7,29,3,5,3,5,3,43,5,3,7,3,7,3,5,3,11,3,5,5,3,7,

%T 89,7,3,5,3,3,5,3,13,113,7,13,127,5,3,11,137,139,5,13,3,7,3,5,5,3,7,3,

%U 13,5,19,3,3,31,197,199,7,13,17,11,3,5,3,229,5,3,11,5,11,3,19,3,7,3,7

%N Values of r occurring in A063713.

%C This is not a mere union of A002373 and A020483 because of the minimality property of these sequences.

%H Robert Israel, <a href="/A063714/b063714.txt">Table of n, a(n) for n = 1..10000</a>

%p f:= proc(n) local k;

%p k:= 2;

%p while k < 2*n do

%p k:= nextprime(k);

%p if isprime(2*n+k) and isprime(2*n-k) then return k fi

%p od;

%p NULL

%p end proc:

%p map(f, [$1..400]); # _Robert Israel_, Oct 09 2017

%t f[n_] := {AnyTrue[Prime[Range[PrimePi[2n-2]]], (r = #; PrimeQ[2n+r] && PrimeQ[2n-r])&], r}; Select[f /@ Range[200], #[[1]] =!= False &][[All, 2]] (* _Jean-François Alcover_, Feb 14 2018 *)

%Y Cf. A063713, A002373, A020483.

%K nonn,look

%O 1,1

%A _Reinhard Zumkeller_, Aug 10 2001