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A337645 a(1)=2; thereafter, a(n) = smallest number with at least two different prime factors that is missing from A336957 after A336957(n) has been found. 4

%I #21 Oct 17 2020 05:38:31

%S 2,6,10,10,10,10,10,10,10,18,20,20,20,20,24,24,24,24,24,24,24,24,24,

%T 24,24,24,24,24,24,24,24,24,24,24,36,36,36,36,44,44,44,44,48,48,48,48,

%U 48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,54

%N a(1)=2; thereafter, a(n) = smallest number with at least two different prime factors that is missing from A336957 after A336957(n) has been found.

%C The initial 2 is an exception. For n>2, A336957(n) is required to have at least two different prime factors.

%C It is conjectured that every number with at least two different prime factors will eventually appear in A336957.

%H N. J. A. Sloane, <a href="/A337645/b337645.txt">Table of n, a(n) for n = 1..20000</a>

%e A336957 begins 1, 2, 6, 15, 35, 14, with A336957(6)=14. At that point 10 is the smallest legal candidate that has not yet appeared, so a(6) = 10.

%Y Cf. A336957, A338052, A338058.

%K nonn

%O 1,1

%A _Scott R. Shannon_ and _N. J. A. Sloane_, Sep 25 2020; corrected Oct 11 2020

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