Yes. If I remember correctly, the density falls off as 1/sqrt(logN). [RKG - is this right?] But it's easy to see the ultimate density is 0. Compute the fraction of integers with no odd-degree factor of 3, or of 7, ... . The fraction is approximately product(1 - 1/q - small change) for q = 4K+3 primes. This product goes to 0. Rich -----Original Message----- From: math-fun-bounces+rschroe=sandia.gov@mailman.xmission.com on behalf of David Wilson Sent: Sat 2/26/2005 1:25 PM To: math-fun Subject: [math-fun] Density of sums of squares Do the numbers of the form a^2+b^2 have density 0 with respect to Z+? -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.300 / Virus Database: 266.5.0 - Release Date: 2/25/2005 _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun