185 is special

Wed Jun 6 04:05:53 CEST 2007

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Let P(n) <=3D> ((k >=3D 0 and n-k^2 prime) =3D> n-k prime).

For odd composite c, let m =3D (c+1)/2. We then have P(m^2), so an infinite=
 number of squares satisfy have property P.

It looks as if there are only 381 nonsquares satisfying P, the largest bein=
g 98686 (no more <=3D 10^6).
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML><HEAD>
<META http-equiv=3DContent-Type content=3D"text/html; charset=3Diso-8859-1">
<META content=3D"MSHTML 6.00.6000.16441" name=3DGENERATOR>
<STYLE></STYLE>
</HEAD>
<BODY bgColor=3D#ffffff>
<DIV><FONT face=3DArial size=3D2>Let P(n) <=3D> ((k >=3D 0 and n-k=
^2 prime)=20
=3D> n-k prime).</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<DIV><FONT face=3DArial size=3D2>For odd composite c, let m =3D (c+1)/2. We=
 then have=20
P(m^2), so an infinite number of squares satisfy have property P.</FONT></D=
IV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<DIV><FONT face=3DArial size=3D2>It looks as if there are only 381 nonsquar=
es=20
satisfying P, the largest being 98686 (no more <=3D=20
10^6).</FONT></DIV></BODY></HTML>

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