login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A144140 Numbers n such that between n^K and (n+1)^K there are no primes, where K = 3/2. 5
10, 20, 24, 27, 32, 65, 121, 139, 141, 187, 306, 321, 348, 1006, 1051 (list; graph; refs; listen; history; text; internal format)
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: A325198 A098165 A104801 * A034048 A199978 A342142

Adjacent sequences:  A144137 A144138 A144139 * A144141 A144142 A144143

KEYWORD

nonn

AUTHOR

Artur Jasinski, Sep 11 2008

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 22 22:19 EDT 2021. Contains 343197 sequences. (Running on oeis4.)