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Search: id:A101938
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| A101938 |
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Numbers n with omega(n) < omega of 2 nearest larger and 2 nearest smaller neighbors. |
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+0
2
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| 37, 53, 64, 67, 89, 97, 113, 121, 131, 157, 163, 173, 211, 223, 233, 251, 263, 277, 289, 293, 307, 317, 331, 337, 343, 353, 367, 373, 379, 383, 389, 397, 401, 409, 439, 443, 449, 457, 467, 479, 487, 491, 499, 503, 509, 512, 529, 541, 547
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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173 is in the sequence because it has one unique prime factor (itself), whereas
171, 172, 174, and 175 each have more.
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MATHEMATICA
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For[i=2, i<1000, If[And[Length[FactorInteger[i-2]]>Length[FactorInteger[i]], Length[FactorInteger[i-1]]>Length[FactorInteger[i]], Length[FactorInteger[i+1]]>Length[FactorInteger[i]], Length[FactorInteger[i+2]]>Length[FactorInteger[i]]], Print[i]]; i++ ],
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CROSSREFS
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Cf. A001221, A101934.
Sequence in context: A074401 A084548 A092105 this_sequence A060330 A080906 A101940
Adjacent sequences: A101935 A101936 A101937 this_sequence A101939 A101940 A101941
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KEYWORD
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easy,nonn
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AUTHOR
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N. Fernandez (primeness(AT)borve.org), Dec 21 2004
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