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

1,1

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Example

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

Mathematica

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

Crossrefs

Sequence in context: A128114 A065152 A344209 * A073538 A022898 A072780

Adjacent sequences: A171756 A171757 A171758 * A171760 A171761 A171762

Keyword

nonn,cons

Author

Zak Seidov, Dec 17 2009

Status

approved