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A101294 Numbers n such that omega(n-2) = omega(n-1) = omega(n) = omega(n+1) = omega(n+2). 1
56, 93, 94, 117, 143, 144, 145, 146, 160, 207, 214, 215, 216, 217, 297, 303, 325, 326, 327, 393, 537, 687, 723, 801, 1137, 1347, 1467, 1537, 1713, 1943, 1983, 2103, 2217, 2304, 2305, 2306, 2427, 2643, 2666, 2716, 3867, 3914, 4413 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

EXAMPLE

143 is in the sequence because it has two unique prime factors (11 and 13), the same number as its two nearest neighbors on both sides (141 has 3 and 47, 142 has 2 and 71, 144 has 2 and 3 and 145 has 5 and 29).

MATHEMATICA

For[i=2, i<10000, 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++ ]

CROSSREFS

Cf. A001221, A101932.

Sequence in context: A043938 A104394 A101935 * A039534 A063347 A054891

Adjacent sequences:  A101291 A101292 A101293 * A101295 A101296 A101297

KEYWORD

easy,nonn

AUTHOR

N. Fernandez (primeness(AT)borve.org), Dec 21 2004

EXTENSIONS

Edited by N. J. A. Sloane (njas(AT)research.att.com), Mar 17 2007

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Last modified February 14 06:09 EST 2012. Contains 205570 sequences.