%I #10 Nov 20 2023 15:31:34
%S 1,2,3,3,5,5,35,35,7,7,77,77,143,143,143,143,2431,2431,46189,46189,
%T 4199,4199,96577,96577,7429,7429,7429,7429,215441,215441,6678671,
%U 6678671,392863,392863,392863,392863,765049,765049,765049,765049,31367009,31367009,1348781387
%N Product of all primes in the interval ((n+1)/2,n].
%C The case n=1 is special and defined conventionally.
%C a(n) = A034386(n)/A034386(1+floor((n+1)/2)).
%C Notice that the interval is semiopen; a prime p is included in the product if (n+1)<2p<=2n.
%H Stanislav Sykora, <a href="/A212792/b212792.txt">Table of n, a(n) for n = 1..1000</a>
%e a(13) = product of all primes in (7,13] = 11*13 = 143.
%o (PARI) {p2(n) = result=1;forprime(p=1+floor((n+1)\2),n,result=result*p);}
%Y Cf. A212791, A034386.
%K nonn
%O 1,2
%A _Stanislav Sykora_, May 27 2012