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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

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Last modified April 18 21:51 EDT 2024. Contains 371781 sequences. (Running on oeis4.)