<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML><HEAD>
<META http-equiv=Content-Type content="text/html; charset=iso-8859-1">
<META content="MSHTML 6.00.2800.1226" name=GENERATOR>
<STYLE></STYLE>
</HEAD>
<BODY bgColor=#ffffff>
<DIV><FONT face=Arial size=2>This thread got me thinking about expressing
nonnegative integers as sums of distinct</FONT></DIV>
<DIV><FONT face=Arial size=2>squared primes. My inclination was to think
that any sufficiently large integer would be</FONT></DIV>
<DIV><FONT face=Arial size=2>so expressible, this is probably provable from the
prime number theorem. Empirically,</FONT></DIV>
<DIV><FONT face=Arial size=2>I checked up to 1000000, and i found 2438 numbers
which were not sums of distinct</FONT></DIV>
<DIV><FONT face=Arial size=2>squared primes, the largest being 17163. This
agrees with A048261.</FONT></DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<DIV><FONT face=Arial size=2>At Neil's request I will submit the list of 2438
numbers along with the accompanying</FONT></DIV>
<DIV><FONT face=Arial size=2>sequence (complement of
A048261).</FONT></DIV></BODY></HTML>