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A145447 a(n) = the smallest square (and/or cube) > n-th prime 1
4, 4, 8, 8, 16, 16, 25, 25, 25, 36, 36, 49, 49, 49, 49, 64, 64, 64, 81, 81, 81, 81, 100, 100, 100, 121, 121, 121, 121, 121, 144, 144, 144, 144, 169, 169, 169, 169, 169, 196, 196, 196, 196, 196, 216, 216, 216, 225, 256, 256, 256, 256, 256, 256, 289, 289, 289, 289 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(n) = min(A145445(n), A145446(n) )= min ([A104103(n)]^2, [A104147(n)]^3)

LINKS

Table of n, a(n) for n=1..58.

MATHEMATICA

Table[Min[{Ceiling[Prime[n]^(1/3)]^3, Ceiling[Prime[n]^(1/2)]^2}], {n, 100}]

CROSSREFS

A104103, A104147, A145445, A145446

Sequence in context: A146890 A168273 A278933 * A204989 A101921 A093340

Adjacent sequences:  A145444 A145445 A145446 * A145448 A145449 A145450

KEYWORD

nonn

AUTHOR

Zak Seidov, Oct 10 2008

STATUS

approved

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Last modified February 23 11:12 EST 2018. Contains 299564 sequences. (Running on oeis4.)