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A141436 a(k) = kth prime or nonprime: a(k+1) = a(a(k)); if k is prime, a(k) is nonprime; if k is nonprime, a(k)is prime. {a(1)} = {1,2,4,7,12,...}, {a(3)} = {3,6,13,...}, {a(5)} = {5,9,23,...}. The generators of these mutually disjoint sets are the first elements, {1,3,5,8,...etc}. +0
5
1, 3, 5, 8, 10, 11, 14, 15, 16, 17, 20, 22, 24, 25, 27, 30, 31, 32, 33, 35, 36, 38, 39, 40, 41, 44, 46, 48, 49, 50, 51, 54, 55, 56, 58, 59, 62, 63, 64, 66, 67, 68, 69, 70, 72, 75, 76, 77, 78, 80, 82, 83, 85, 86, 87, 88, 90, 92, 93, 94, 96, 99, 100, 102, 104, 105, 108, 109, 110, 111 (list; graph; listen)
OFFSET

1,2

COMMENT

The complementary sequence is 2,4,6,7,9,12,13,18,19,...etc.

LINKS

B. D. Swan, Table of n, a(n) for n=0,...,100000

FORMULA

Conjecture: A102615 UNION A006450. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 14 2008]

CROSSREFS

Cf. A141437.

Sequence in context: A067241 A120943 A087792 this_sequence A073608 A155945 A096985

Adjacent sequences: A141433 A141434 A141435 this_sequence A141437 A141438 A141439

KEYWORD

easy,nonn

AUTHOR

Daniel Tisdale (daniel6874(AT)gmail.com), Aug 06 2008

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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