{{2, 3}, {3, 1}, {10939058860032031, 1}} -----Original Message----- From: math-fun-bounces@mailman.xmission.com [mailto:math-fun-bounces@mailman.xmission.com] On Behalf Of Dan Asimov Sent: Tuesday, March 17, 2009 1:25 PM To: math-fun Subject: Re: [math-fun] (exp(Pi)-ln(3))/ln(2) 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 ??? _____________________________________________________________________ "It don't mean a thing if it ain't got that certain je ne sais quoi." --Peter Schickele _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun