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A180117 Numbers n such that n and n+2 are both divisible by exactly 3 primes (counted with multiplicity). 5
18, 28, 42, 50, 66, 68, 76, 114, 170, 172, 186, 188, 236, 242, 244, 266, 273, 282, 284, 290, 316, 343, 354, 385, 402, 404, 410, 423, 426, 428, 434, 436, 475, 506, 596, 602, 603, 604, 637, 652, 663, 668, 722, 762, 775, 786, 788, 845, 890, 892, 906, 925, 962 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Numbers k such that both k and k + 2 are in A014612.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

EXAMPLE

a(1) = 18 because 18 = 2*3*3 and 18+2 = 20 = 2*2*5 both have 3 prime divisors, counted with multiplicity.

a(2) = 28 because 28 = 2*2*7 and 28+2 = 30 = 2*3*5 both have 3 prime divisors, counted with multiplicity.

MATHEMATICA

#[[1, 1]]&/@(Select[Partition[Table[{n, PrimeOmega[n]}, {n, 1000}], 3, 1], #[[1, 2]]==#[[3, 2]]==3&]) (* Harvey P. Dale, Oct 20 2011 *)

SequencePosition[PrimeOmega[Range[1000]], {3, _, 3}][[All, 1]] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Apr 08 2017 *)

PROG

(PARI) is(n)=bigomega(n)==3 && bigomega(n+2)==3 \\ Charles R Greathouse IV, Jan 31 2017

CROSSREFS

Cf. A001359, A014612.

Sequence in context: A216259 A117101 A063840 * A167333 A259642 A045000

Adjacent sequences:  A180114 A180115 A180116 * A180118 A180119 A180120

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post, Aug 10 2010

EXTENSIONS

More terms from R. J. Mathar, Aug 13 2010

STATUS

approved

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Last modified December 5 03:16 EST 2020. Contains 338943 sequences. (Running on oeis4.)