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A127600 Integer part of cube root of product of first n primes.

%I A127600 #13 Nov 10 2017 16:34:00
%S A127600 1,1,3,5,13,31,79,213,606,1863,5853,19505,67257,235631,850352,3194167,
%T A127600 12434883,48949883,198812307,823245530,3440622312,14763161313,
%U A127600 64397952985,287520444756,1321070444052,6152237618431,28838910052201
%N A127600 Integer part of cube root of product of first n primes.
%H A127600 Harvey P. Dale, <a href="/A127600/b127600.txt">Table of n, a(n) for n = 1..898</a>
%p A127600 Res:= NULL:
%p A127600 p:= 1: r:= 1:
%p A127600 for n from 1 to 50 do
%p A127600   p:=nextprime(p);
%p A127600   r:= r*p;
%p A127600   Res:= Res, floor(r^(1/3));
%p A127600 od:
%p A127600 Res; # _Robert Israel_, Nov 10 2017
%t A127600 a = {}; Do[b = 1; Do[b = b Prime[x], {x, 1, n}]; AppendTo[a, Floor[b^(1/3)]], {n, 1, 100}]; a (* _Artur Jasinski_ *)
%t A127600 Floor[Surd[#,3]]&/@Rest[FoldList[Times,1,Prime[Range[30]]]] (* _Harvey P. Dale_, Jun 23 2014 *)
%o A127600 (PARI) a(n) = sqrtnint(prod(k=1, n, prime(k)), 3); \\ _Michel Marcus_, Nov 10 2017
%Y A127600 Cf. A002110, A060797.
%K A127600 nonn
%O A127600 1,3
%A A127600 _Artur Jasinski_, Jan 19 2007