31.8 = 159/5 --------- Quoting Dan Asimov <dasimov@earthlink.net>:
Mike Stay wrote:
<< 31.80000000332526 = (exp(Pi)-ln(3))/ln(2)
Does this run of zeros have something to do with the j function?
Fascinating, especially because this says
(exp(Pi)-ln(3))/ln(2) ~ 163/5,
whereas (from the J function) the well-known approximation
exp(Pi sqrt(163)) ~ 262537412640768743.9999999999992500725971,
also involves 163 prominently. (163 is the largest number d such that the algebraic integers of the imaginary quadratic field Q(sqrt(-d)) form a unique factorization domain. I hope I said that correctly.)
--Dan
P.S. Anyone know the prime factorization of 262537412640768744 ???
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