%I
%S 2146687,6751267,50243407,82312873,165469147,170953873,176558479,
%T 549353257,1929781123,3314613769,5079577957,5630252137,6219352717,
%U 6591796873,7245075373,10289109373,11993263567
%N Lesser of a pair (p,p+4) of cousin primes whose arithmetic mean p+2 is a cube.
%C p = n^3  2, p and p+4 are "near(est) cube" primes as n^3 /+ 1 = (n /+ 1) * (n^2 +/ n + 1)
%e p=2146687 is a term, as p+2=129^3 and both p=129^32 and p+4=129^3+2 are prime.
%o (PARI) isok(p) = isprime(p) && (q=nextprime(p+1)) && (qp==4) && ispower(p+2, 3); \\ _Michel Marcus_, Nov 27 2016
%Y Cf. A046132, A172494, A174370, A176130, A176229.
%K nonn,more
%O 1,1
%A Ulrich Krug (leuchtfeuer37(AT)gmx.de), May 23 2010
%E Corrected by _D. S. McNeil_, Nov 24 2010
