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Search: id:A135761
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| A135761 |
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Natural numbers with every odd prime p swapped with p+1. |
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+0
2
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| 1, 2, 4, 3, 6, 5, 8, 7, 9, 10, 12, 11, 14, 13, 15, 16, 18, 17, 20, 19, 21, 22, 24, 23, 25, 26, 27, 28, 30, 29, 32, 31, 33, 34, 35, 36, 38, 37, 39, 40, 42, 41, 44, 43, 45, 46, 48, 47, 49, 50, 51, 52, 54, 53, 55, 56, 57, 58, 60, 59, 62, 61, 63, 64, 65, 66, 68, 67, 69, 70, 72, 71
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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Start with sequence of positive integers, then swap a(i) and a(i+1) if a(i) is an odd prime:
a(1)=1, a(2)=2, then
a(3)=4 and a(4)=3 because p=3 is odd prime and p and p+1 are swapped.
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MATHEMATICA
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r=Range[100]; Do[If[PrimeQ[r[[i]]], {r[[i]], r[[i+1]]}={r[[i+1]], r[[i]]}], {i, 3, 97, 2}]; r
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CROSSREFS
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Cf. A135762.
Sequence in context: A119477 A053629 A113981 this_sequence A086305 A073898 A067747
Adjacent sequences: A135758 A135759 A135760 this_sequence A135762 A135763 A135764
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Nov 27 2007
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