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A070045
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Primes of the form ceiling(x^1.5) for some integer x.
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1
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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; internal format)
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OFFSET
| 1,1
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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.
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MATHEMATICA
| Select[Ceiling[Range[400]^(3/2)], PrimeQ]
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PROG
| (PARI) for (n=1, 1000, if (isprime(ceil(n^1.5)), write("prime15.txt", ceil(n^1.5))))
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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
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KEYWORD
| nonn
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AUTHOR
| Jon Perry (perry(AT)globalnet.co.uk), May 03 2002
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EXTENSIONS
| Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), May 07 2002
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