|
|
A078093
|
|
Numbers k such that Omega(k) = Omega(k+1) + Omega(k+2) + Omega(k+3). (Omega(k) denotes the number of prime factors of k, counting multiplicity.)
|
|
1
|
|
|
64, 176, 216, 280, 288, 320, 336, 352, 384, 400, 416, 432, 480, 500, 560, 616, 704, 720, 756, 784, 800, 840, 936, 960, 1024, 1040, 1056, 1080, 1120, 1184, 1216, 1260, 1360, 1380, 1400, 1440, 1458, 1512, 1656, 1776, 1820, 1836, 1856, 1904, 1944, 1980
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
|
|
EXAMPLE
|
a(2)=176 is a term because Omega(176) = 5 = Omega(177) + Omega(178) + Omega(179) = 2 + 2 + 1 = 5.
|
|
MATHEMATICA
|
Position[Partition[PrimeOmega[Range[2000]], 4, 1], _?(#[[1]]==Total[ Rest[ #]]&), 1, Heads->False]//Flatten (* Harvey P. Dale, Apr 16 2018 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|