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Smallest average >= 6 of a twin prime pair that has exactly 2*n divisors, 0 if no such pair exists.
2

%I #6 Nov 08 2017 17:01:58

%S 6,12,30,0,60,192,270,180,240,0,420,0,2112,1620,1320,0,2340,786432,

%T 3120,4800,15360,0,3360,388962,724992,6300,29760,0,12240,0,7560,

%U 617472,47382528,81648,21600,0,651952128,995328,21840,0,33600,0,138240

%N Smallest average >= 6 of a twin prime pair that has exactly 2*n divisors, 0 if no such pair exists.

%C It is conjectured that a(n)=0 for prime n with the only exceptions given by n=A181490(k)+1, i.e. a(2)=6, a(3)=12, a(7)=192 and a(19)=786432 are the only currently known exceptions.

%Y Cf. A014574, A068525, A075590, A181490.

%K nonn

%O 2,1

%A _Hugo Pfoertner_, Nov 08 2017