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A180117 Numbers n such that n and n+2 are both divisible by exactly 3 primes (counted with multiplicity). 5

%I #25 Sep 20 2020 02:21:23

%S 18,28,42,50,66,68,76,114,170,172,186,188,236,242,244,266,273,282,284,

%T 290,316,343,354,385,402,404,410,423,426,428,434,436,475,506,596,602,

%U 603,604,637,652,663,668,722,762,775,786,788,845,890,892,906,925,962

%N Numbers n such that n and n+2 are both divisible by exactly 3 primes (counted with multiplicity).

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

%H Harvey P. Dale, <a href="/A180117/b180117.txt">Table of n, a(n) for n = 1..1000</a>

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

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

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

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

%o (PARI) is(n)=bigomega(n)==3 && bigomega(n+2)==3 \\ _Charles R Greathouse IV_, Jan 31 2017

%Y Cf. A001359, A014612.

%K easy,nonn

%O 1,1

%A _Jonathan Vos Post_, Aug 10 2010

%E More terms from _R. J. Mathar_, Aug 13 2010

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)