|
%I #13 Jul 28 2019 16:37:44
%S 10,20,24,27,32,65,121,139,141,187,306,321,348,1006,1051
%N Numbers n such that between n^K and (n+1)^K there are no primes, where K = 3/2.
%C Conjecture: this sequence is finite and complete
%p select(n -> numtheory:-pi(floor((n+1)^(3/2))) = numtheory:-pi(ceil(n^(3/2)-1)), [$1..10000]); # _Robert Israel_, Feb 02 2016
%t a = {}; k = 3/2; Do[If[Length[Select[Range[Ceiling[n^k], Floor[(n + 1)^k]], PrimeQ]] == 0, Print[n]; AppendTo[a, n]], {n, 10000}]; a
%Y Cf. A014085, A143898, A143935, A144137, A191858.
%K nonn
%O 1,1
%A _Artur Jasinski_, Sep 11 2008
|
