A144140 Numbers n such that between n^K and (n+1)^K there are no primes, where K = 3/2.

10, 20, 24, 27, 32, 65, 121, 139, 141, 187, 306, 321, 348, 1006, 1051

Offset

1,1

Comments

Conjecture: this sequence is finite and complete

Links

Table of n, a(n) for n=1..15.

Maple

select(n -> numtheory:-pi(floor((n+1)^(3/2))) = numtheory:-pi(ceil(n^(3/2)-1)), [$1..10000]); # Robert Israel, Feb 02 2016

Mathematica

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

Crossrefs

Cf. A014085, A143898, A143935, A144137, A191858.

Sequence in context: A098165 A104801 A364325 * A361337 A034048 A199978

Adjacent sequences: A144137 A144138 A144139 * A144141 A144142 A144143

Keyword

nonn

Author

Artur Jasinski, Sep 11 2008

Status

approved