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A002035 Numbers that contain primes to odd powers only.
(Formerly M0614 N0224)
10
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)
OFFSET

1,1

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]

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).

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

MATHEMATICA

ok[n_] := And @@ OddQ /@ FactorInteger[n][[All, 2]];

Select[Range[2, 101], ok]

(* From Jean-François Alcover, Apr 22 2011 *)

CROSSREFS

Cf. A072586.

Sequence in context: A109423 A028801 A162644 * A036537 A072510 A084116

Adjacent sequences:  A002032 A002033 A002034 * A002036 A002037 A002038

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 23 2002

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Last modified February 15 21:10 EST 2012. Contains 205856 sequences.