This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A212792 #10 Nov 20 2023 15:31:34 %S A212792 1,2,3,3,5,5,35,35,7,7,77,77,143,143,143,143,2431,2431,46189,46189, %T A212792 4199,4199,96577,96577,7429,7429,7429,7429,215441,215441,6678671, %U A212792 6678671,392863,392863,392863,392863,765049,765049,765049,765049,31367009,31367009,1348781387 %N A212792 Product of all primes in the interval ((n+1)/2,n]. %C A212792 The case n=1 is special and defined conventionally. %C A212792 a(n) = A034386(n)/A034386(1+floor((n+1)/2)). %C A212792 Notice that the interval is semiopen; a prime p is included in the product if (n+1)<2p<=2n. %H A212792 Stanislav Sykora, <a href="/A212792/b212792.txt">Table of n, a(n) for n = 1..1000</a> %e A212792 a(13) = product of all primes in (7,13] = 11*13 = 143. %o A212792 (PARI) {p2(n) = result=1;forprime(p=1+floor((n+1)\2),n,result=result*p);} %Y A212792 Cf. A212791, A034386. %K A212792 nonn %O A212792 1,2 %A A212792 _Stanislav Sykora_, May 27 2012