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 A171759 Decimal expansion of limit sqrt(2*sqrt(3*sqrt(5*sqrt(7*sqrt(11*...sqrt(prime(n)...))))). 4

%I

%S 3,0,2,0,9,4,0,6,1,5,6,5,7,9,8,1,0,2,8,5,9,1,8,9,8,4,0,3,9,1,2,9,8,3,

%T 9,3,3,8,5,6,6,6,3,9,5,1,9,0,5,4,5,7,9,9,0,3,2,7,5,2,2,2,7,2,2,7,7,3,

%U 4,3,6,0,1,9,3,3,9,6,4,5,0,7,8,2,4,5,2,0,2,0,8,8,3,3,8,8,3,2,1,4

%N Decimal expansion of limit sqrt(2*sqrt(3*sqrt(5*sqrt(7*sqrt(11*...sqrt(prime(n)...))))).

%H G. C. Greubel, <a href="/A171759/b171759.txt">Table of n, a(n) for n = 1..10000</a>

%e Lim_{m->infinity} Product_{n=1..m} prime(n)^(1/2^n) = 3.0209406156579810285918984039129839338566639519054579903275222722773436019339...

%t f:= Product[Prime[n]^(1/2^n), {n, 1, 700}]; RealDigits[f, 10, 50][[1]] (* _G. C. Greubel_, Apr 04 2018 *)

%K nonn,cons

%O 1,1

%A _Zak Seidov_, Dec 17 2009

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Last modified February 7 09:42 EST 2023. Contains 360115 sequences. (Running on oeis4.)