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A002035
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Numbers that contain primes to odd powers only.
(Formerly M0614 N0224)
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10
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2, 3, 5, 6, 7, 8, 10, 11, 13, 14, 15, 17, 19, 21, 22, 23, 24, 26, 27, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 46, 47, 51, 53, 54, 55, 56, 57, 58, 59, 61, 62, 65, 66, 67, 69, 70, 71, 73, 74, 77, 78, 79, 82, 83, 85, 86, 87, 88, 89, 91, 93, 94, 95, 96, 97, 101
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Complement of A072587. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 23 2002
A036537 is a subsequence and this sequence is a subsequence of A162644. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 08 2009]
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REFERENCES
| E. Cohen, Quadratic congruences with an odd number of summands, Amer. Math. Monthly, 73 (1966), 138-143.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..1000
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MATHEMATICA
| ok[n_] := And @@ OddQ /@ FactorInteger[n][[All, 2]];
Select[Range[2, 101], ok]
(* From Jean-François Alcover, Apr 22 2011 *)
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CROSSREFS
| Cf. A072586.
Sequence in context: A109423 A028801 A162644 * A036537 A072510 A084116
Adjacent sequences: A002032 A002033 A002034 * A002036 A002037 A002038
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KEYWORD
| nonn,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 23 2002
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