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%I #5 Jan 19 2020 09:19:37
%S 31,71,167,311,551,791,1151,1655,2279,3119,3935,4871,5711,6791,2797,
%T 9959,11639,13175,14831,16559,18383,20975,24071,27419,30191,32231,
%U 33911,36071,40511,45791,51983,55199,60167,64199,69599,24637,79031,84311,29917,94679
%N Denominator of harmonic mean of 3 consecutive primes. Numerators are A331259.
%F a(n) = denominator ((3*p1*p2*p3)/(p2*p3 + p1*p3 + p1*p2)) with p1 = prime(n), p2 = prime(n + 1), p3 = prime(n + 2).
%e See A331259.
%o (PARI) hm3(x, y, z)=3/(1/x+1/y+1/z);
%o p1=2; p2=3; forprime(p3=5, 190, print1(denominator(hm3(p1, p2, p3)), ", "); p1=p2; p2=p3)
%Y Cf. A046301, A127345, A292530, A331259.
%K nonn,frac
%O 1,1
%A _Hugo Pfoertner_, Jan 19 2020
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