WP 34S calculates "almost integers" (fun result)

10142014, 05:09 PM
(This post was last modified: 10142014 05:15 PM by Peter Van Roy.)
Post: #1




WP 34S calculates "almost integers" (fun result)
The WP 34S can calculate a famous "almost integer", exp(pi * sqrt(163)), which is sometimes called Ramanujan's number. In double precision mode (34 digits), a simple calculation returns:
Quote:262,537,412,640,768,743.9999999999992474The actual answer (according to Wikipedia) is: Quote:262,537,412,640,768,743.99999999999925007No other handheld calculator in the world can do this, AFAIK. Peter PS: The Wikipedia entry gives exp(pi * sqrt(67)) as another almost integer, but I find that exp(pi * sqrt(58)) is of higher quality: it gives an error almost an order of magnitude smaller. Just a few minutes with my WP 34S to find the best "almost integers" of the form exp(pi * sqrt(n)). 

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Messages In This Thread 
WP 34S calculates "almost integers" (fun result)  Peter Van Roy  10142014 05:09 PM
RE: WP 34S calculates "almost integers" (fun result)  DavidM  10142014, 06:13 PM
RE: WP 34S calculates "almost integers" (fun result)  Peter Van Roy  10142014, 06:26 PM
RE: WP 34S calculates "almost integers" (fun result)  DavidM  10142014, 07:47 PM

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