OFFSET
70,1
COMMENTS
Near-integer obtained by taking Ramanujan's constant e^(Pi*sqrt(163)) to the fourth power.
REFERENCES
Henri Cohen, 'A Course in Computational Algebraic Number Theory', Springer-Verlag Berlin Heidelberg New-York 1996, p. 383.
LINKS
MathOverflow, Why are powers of exp(Pi*sqrt(163)) almost integers?
Eric Weisstein's World of Mathematics, Almost Integer
Wikipedia, Heegner number
EXAMPLE
exp^(4*Pi*sqrt(163)) = 47507787308251777254639209489097266182144917180394713663187474063...
MATHEMATICA
RealDigits[Exp[Pi Sqrt[163]]^4, 10, 120][[1]] (* Harvey P. Dale, Apr 20 2011 *)
PROG
(PARI) exp(4*Pi*sqrt(163)) \\ Charles R Greathouse IV, Nov 12 2014
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Mark A. Thomas, Oct 16 2009
STATUS
approved