

A070045


Primes of the form ceiling(x^1.5) for some integer x.


2



3, 19, 23, 37, 47, 53, 59, 71, 83, 97, 149, 157, 173, 199, 263, 397, 431, 599, 743, 757, 883, 941, 971, 1031, 1061, 1123, 1381, 1483, 1657, 1693, 1747, 1783, 1801, 1949, 1987, 2237, 2957, 3109, 3331, 3511, 3557, 3719, 4001, 4049, 4073, 4217, 4241, 4339
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OFFSET

1,1


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000


EXAMPLE

ceiling(2^1.5)=3 is a prime, so it is in the sequence. ceiling(3^1.5)=6 is not prime, so it is not in the sequence.


MATHEMATICA

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


PROG

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


CROSSREFS

The corresponding values of x are in A070044.
Sequence in context: A042231 A191074 A019408 * A063557 A197541 A273367
Adjacent sequences: A070042 A070043 A070044 * A070046 A070047 A070048


KEYWORD

nonn,easy


AUTHOR

Jon Perry, May 03 2002


EXTENSIONS

Edited by Dean Hickerson, May 07 2002


STATUS

approved



