20120913, 23:37  #1 
May 2010
Prime hunting commission.
2^{4}·3·5·7 Posts 
Hey, folks
Hi, it's been long since I last visited this forum.
Out of curiosity, are there any numbers that satisfy a^5+b^5+z^5+y^5+x^5 = g^5 (where a, b, z, y, x, and g are all integers and are all > 1)? I tried searching a few hundred numbers, to no avail. Apologies if I'm posting on the wrong board.. have not been here for quite some time. 
20120913, 23:46  #2  
"Forget I exist"
Jul 2009
Dumbassville
2^{6}×131 Posts 
Quote:


20120913, 23:55  #3  
May 2010
Prime hunting commission.
2^{4}·3·5·7 Posts 
Quote:


20120913, 23:59  #4 
"Forget I exist"
Jul 2009
Dumbassville
2^{6}×131 Posts 

20120914, 00:06  #5 
May 2010
Prime hunting commission.
11010010000_{2} Posts 
It was out of curiosity.
edit: and because I wanted to offer a small challenge to some other folks. Last fiddled with by 3.14159 on 20120914 at 00:10 
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