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From: Hal Finney <hal.domain.name.hidden>

Date: Fri, 9 Aug 2002 09:19:09 -0700

http://www.google.com/search?hl=en&ie=ISO-8859-1&q=exp+pi+sqrt+integer

has some pages with explanations involving the Jacobi function J, elliptic

curves and other mathematical esoterica. Unfortunately it does not seem

likely that an explanation suitable for a college senior is available,

unless he is willing to educate himself for several months on higher

mathematics.

Hal Finney

*> Exp(Pi*Sqrt(n)) Page
*

*> This table lists values of Exp(Pi*Sqrt(n)), for some selected values of
*

*> n up to 1000. Some of these values are very close to integers. A prize
*

*> will be awarded to anyone who can either convincingly argue that this is
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*> coincidence, or who can explain why this is so in terms intelligible to
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*> an intelligent college senior. Something else that might help to lift
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*> the veil on this mystery would be a predictor: for a given value of n,
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*> is Exp(Pi*Sqrt(n)) close to an integer?
*

*> ...
*

*> 163 262537412640768743.9999999999992
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*> ...
*

Received on Fri Aug 09 2002 - 09:21:28 PDT

Date: Fri, 9 Aug 2002 09:19:09 -0700

http://www.google.com/search?hl=en&ie=ISO-8859-1&q=exp+pi+sqrt+integer

has some pages with explanations involving the Jacobi function J, elliptic

curves and other mathematical esoterica. Unfortunately it does not seem

likely that an explanation suitable for a college senior is available,

unless he is willing to educate himself for several months on higher

mathematics.

Hal Finney

Received on Fri Aug 09 2002 - 09:21:28 PDT

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