A171759 Decimal expansion of limit sqrt(2*sqrt(3*sqrt(5*sqrt(7*sqrt(11*...sqrt(prime(n))...))))).
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, 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, 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
Offset: 1
Examples
3.0209406156579810285918984039129839338566639519054579903275222722773436019339...
Links
- G. C. Greubel, Table of n, a(n) for n = 1..10000
Programs
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Mathematica
f:= Product[Prime[n]^(1/2^n), {n, 1, 700}]; RealDigits[f, 10, 50][[1]] (* G. C. Greubel, Apr 04 2018 *)
Formula
Equals Product_{n>=1} prime(n)^(1/2^n).