Reduce bug?

*To*: mathgroup at smc.vnet.net*Subject*: [mg63173] Reduce bug?*From*: "François Wirion" <wirion at gmail.com>*Date*: Fri, 16 Dec 2005 07:22:33 -0500 (EST)*Sender*: owner-wri-mathgroup at wolfram.com

In[22]:=$Version Out[22]=5.2 for Microsoft Windows (June 20, 2005) Trying to reduce the following simple non-algebraic equation, I get the following: In[7]:= Reduce[4^n*(n - 1)*(n - 2) == 0, n] Out[7]= True This is of course a bit odd since e.g. when n = 0, In[23]:= 4^n*(n - 1)*(n - 2) == 0 /. n -> 0 Out[23]= False It seems that this problem occurs not only with 4^n in the equation but more generally for even integers other than -2, 0 and 2. I had a look through the archives but could not find a related entry on a first glance.