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A066048 Product of smallest and greatest prime factors of n. +0
8
1, 4, 9, 4, 25, 6, 49, 4, 9, 10, 121, 6, 169, 14, 15, 4, 289, 6, 361, 10, 21, 22, 529, 6, 25, 26, 9, 14, 841, 10, 961, 4, 33, 34, 35, 6, 1369, 38, 39, 10, 1681, 14, 1849, 22, 15, 46, 2209, 6, 49, 10, 51, 26, 2809, 6, 55, 14, 57, 58, 3481, 10, 3721, 62, 21, 4, 65, 22, 4489, 34 (list; graph; listen)
OFFSET

1,2

COMMENT

For all n > 1 a(n) is semiprime; n is semiprime iff a(n) = n; n is prime iff a(n) = n^2;

For all primes p and k > 0, a(p^k) = p^2.

LINKS

R. Zumkeller, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = A020639(n) * A006530(n).

MATHEMATICA

f[n_] := Transpose[ FactorInteger[n]][[1]]; Table[ First[f[n]]*Last[f[n]], {n, 2, 100} ]

CROSSREFS

Cf. A000040, A001358, A001248, A000961.

Cf. A130064, A130065.

Sequence in context: A131016 A061369 A088377 this_sequence A103164 A005063 A078615

Adjacent sequences: A066045 A066046 A066047 this_sequence A066049 A066050 A066051

KEYWORD

nonn,nice,easy

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com)

EXTENSIONS

More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 03 2002

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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