login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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 (list; graph; refs; listen; history; text; internal format)
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 A062619

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

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

Content is available under The OEIS End-User License Agreement .

Last modified December 19 18:59 EST 2014. Contains 252239 sequences.