The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A070045 Primes of the form ceiling(k^1.5) for some integer k. 2

%I #15 Jul 04 2019 18:49:36

%S 3,19,23,37,47,53,59,71,83,97,149,157,173,199,263,397,431,599,743,757,

%T 883,941,971,1031,1061,1123,1381,1483,1657,1693,1747,1783,1801,1949,

%U 1987,2237,2957,3109,3331,3511,3557,3719,4001,4049,4073,4217,4241,4339

%N Primes of the form ceiling(k^1.5) for some integer k.

%H Vincenzo Librandi, <a href="/A070045/b070045.txt">Table of n, a(n) for n = 1..1000</a>

%e Ceiling(2^1.5) = 3 is a prime, so it is in the sequence.

%e Ceiling(3^1.5) = 6 is not prime, so it is not in the sequence.

%t Select[Ceiling[Range[400]^(3/2)], PrimeQ]

%o (PARI) for (n=1,1000,if (isprime(ceil(n^1.5)),write("prime15.txt",ceil(n^1.5))))

%Y The corresponding values of k are in A070044.

%K nonn,easy

%O 1,1

%A _Jon Perry_, May 03 2002

%E Edited by _Dean Hickerson_, May 07 2002

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 29 00:29 EDT 2024. Contains 372921 sequences. (Running on oeis4.)