WP 34S calculates "almost integers" (fun result)
10-14-2014, 05:09 PM (This post was last modified: 10-14-2014 05:15 PM by Peter Van Roy.)
Post: #1
 Peter Van Roy Junior Member Posts: 21 Joined: Jan 2014
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:262,537,412,640,768,743.9999999999992474
The actual answer (according to Wikipedia) is:
Quote:262,537,412,640,768,743.99999999999925007
No 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 - 10-14-2014 05:09 PM RE: WP 34S calculates "almost integers" (fun result) - DavidM - 10-14-2014, 06:13 PM RE: WP 34S calculates "almost integers" (fun result) - Peter Van Roy - 10-14-2014, 06:26 PM RE: WP 34S calculates "almost integers" (fun result) - DavidM - 10-14-2014, 07:47 PM

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