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A373679
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Sums of maximal antiruns of non-prime-powers.
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10
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43, 53, 21, 163, 34, 35, 74, 39, 126, 45, 144, 51, 106, 55, 56, 57, 180, 128, 134, 69, 216, 75, 76, 77, 324, 85, 86, 87, 178, 91, 92, 93, 94, 95, 194, 99, 306, 105, 324, 111, 226, 115, 116, 117, 118, 119, 242, 123, 379, 262, 133, 134, 135, 414, 141, 142, 143
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OFFSET
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1,1
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COMMENTS
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An antirun of a sequence (in this case A361102) is an interval of positions at which consecutive terms differ by more than one.
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LINKS
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EXAMPLE
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The maximal antiruns of non-prime-powers begin:
1 6 10 12 14
15 18 20
21
22 24 26 28 30 33
34
35
36 38
39
40 42 44
45
46 48 50
51
52 54
55
56
57
58 60 62
63 65
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MATHEMATICA
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Total/@Split[Select[Range[100], !PrimePowerQ[#]&], #1+1!=#2&]//Most
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CROSSREFS
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See link for composite, prime, nonsquarefree, and squarefree runs/antiruns.
A025528 counts prime-powers up to n.
A057820 gives first differences of consecutive prime-powers, gaps A093555.
A356068 counts non-prime-powers up to n.
Cf. A001359, A014963, A027833, A029707, A038664, A054265, A067774, A071148, A251092, A371201, A373401, A373669.
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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