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 2012-09-13, 23:37 #1 3.14159     May 2010 Prime hunting commission. 24·3·5·7 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.
2012-09-13, 23:46   #2
science_man_88

"Forget I exist"
Jul 2009
Dumbassville

26×131 Posts

Quote:
 Originally Posted by 3.14159 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.
http://mathworld.wolfram.com/Diophan...5thPowers.html

2012-09-13, 23:55   #3
3.14159

May 2010
Prime hunting commission.

24·3·5·7 Posts

Quote:
 Originally Posted by science_man_88 http://mathworld.wolfram.com/Diophan...5thPowers.html
Thank you very much. Just what I was looking for.

2012-09-13, 23:59   #4
science_man_88

"Forget I exist"
Jul 2009
Dumbassville

26×131 Posts

Quote:
 Originally Posted by 3.14159 Thank you very much. Just what I was looking for.
can I ask why ? also if you want different powers changing the 5 in the link may help.

 2012-09-14, 00:06 #5 3.14159     May 2010 Prime hunting commission. 110100100002 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 2012-09-14 at 00:10

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