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A006039 Primitive non-deficient numbers.
(Formerly M4132)
+0
2
6, 20, 28, 70, 88, 104, 272, 304, 368, 464, 496, 550, 572, 650, 748, 836, 945, 1184, 1312, 1376, 1430, 1504, 1575, 1696, 1870, 1888, 1952, 2002, 2090, 2205, 2210, 2470, 2530, 2584, 2990, 3128, 3190, 3230, 3410, 3465, 3496, 3770, 3944, 4030 (list; graph; listen)
OFFSET

1,1

COMMENT

A number n is non-deficient (A023196) iff it is abundant or perfect, that is iff A001065(n) is >= n. Since any multiple of a non-deficient number is itself non-deficient, we call a non-deficient number primitive iff all its proper divisors are deficient. - Jeppe Stig Nielsen (mail(AT)jeppesn.dk), Nov 23 2003

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

L. E. Dickson, Amer. J. Math., 35 (1913), 413-426.

LINKS

T. D. Noe, Table of n, a(n) for n = 1..8671

CROSSREFS

Cf. A001065 (aliquot function), A023196 (non-deficient numbers), A005101 (abundant numbers), A000396 (perfect numbers), A005231 (odd abundant numbers), A006038 (odd primitive abundant numbers).

Sequence in context: A044970 A090502 A119425 this_sequence A064771 A006036 A140738

Adjacent sequences: A006036 A006037 A006038 this_sequence A006040 A006041 A006042

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), R. K. Guy

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Last modified November 22 20:51 EST 2009. Contains 167312 sequences.


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