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Search: id:A101934
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| A101934 |
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Numbers n with omega(n) smaller than omega(n-1) and omega (n+1). |
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3
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| 11, 13, 19, 23, 25, 27, 29, 37, 41, 43, 47, 49, 53, 59, 61, 64, 67, 71, 73, 79, 81, 83, 89, 97, 101, 103, 107, 109, 113, 121, 125, 131, 137, 139, 149, 151, 155, 157, 163, 167, 169, 173, 179, 181, 191, 193, 197, 199, 211, 221, 223, 227
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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125 is in the sequence because it has one unique prime factor (5), which is fewer than its neighbors 124 (two such factors, namely 2 and 31) and 126 (two such factors, namely 2 and 53).
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MATHEMATICA
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For[i=2, i<1000, If[And[Length[FactorInteger[i-1]]>Length[FactorInteger[i]], Length[FactorInteger[i+1]]>Length[FactorInteger[i]]], Print[i]]; i++ ]
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CROSSREFS
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Cf. A001221, A101932, A076763.
Sequence in context: A057891 A164708 A030792 this_sequence A164861 A040150 A068801
Adjacent sequences: A101931 A101932 A101933 this_sequence A101935 A101936 A101937
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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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