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A321504 Numbers k such that k and k+1 each have at least 4 distinct prime factors. 7

%I #12 Jul 17 2021 07:01:02

%S 7314,8294,8645,9009,10659,11570,11780,11934,13299,13629,13845,14420,

%T 15105,15554,16554,16835,17204,17390,17654,17765,18095,18290,18444,

%U 18920,19005,19019,19095,19227,20349,20405,20769,21164,21489,21735,22010,22154,22659,23001,23114,23484,23529,23540,23919,24395

%N Numbers k such that k and k+1 each have at least 4 distinct prime factors.

%C Equals A140078 up to a(123) but a({124, 214, 219, 276, 321, 415, ...}) = { 38570, 51414, 51765, 58695, 62985, 71070, ...} are not in A140078, see A321494.

%H M. F. Hasler, <a href="/A321504/b321504.txt">Table of n, a(n) for n = 1..10000</a>

%t SequencePosition[Table[If[PrimeNu[n]>3,1,0],{n,25000}],{1,1}][[All,1]] (* Requires Mathematica version 10 or later *) (* _Harvey P. Dale_, Apr 29 2019 *)

%o (PARI) is(n)=omega(n)>=4&&omega(n+1)>=4

%Y Cf. A140078, A321494.

%Y Cf. A321505, A321506 (variant for k=5 & k=6 prime factors).

%K nonn

%O 1,1

%A _M. F. Hasler_, Nov 12 2018

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Last modified July 12 23:13 EDT 2024. Contains 374257 sequences. (Running on oeis4.)