login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A171759 Decimal expansion of limit sqrt(2*sqrt(3*sqrt(5*sqrt(7*sqrt(11*...sqrt(prime(n)...))))). 4
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 (list; constant; graph; refs; listen; history; text; internal format)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 7 01:51 EST 2022. Contains 358649 sequences. (Running on oeis4.)