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Are these small primes or huge Integers?

• To: mathgroup at smc.vnet.net
• Subject: [mg112396] Are these small primes or huge Integers?
• From: "Peter Pein" <petsie at dordos.net>
• Date: Tue, 14 Sep 2010 05:12:58 -0400 (EDT)

Dear group,

the last weekend has been a bit boring and so I got the idea to type

In[1]:= NMaximize[{n,Prime[n]>n,n>=1,Element[n,Integers]},n]

to my surprise I got:

Out[1]= {4.,{n->4}}

(this does not work without warnings with Method->m, m != Automatic)

strange, isn't it?

Best regards,
 Peter