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Old 2012-09-13, 23:37   #1
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Default 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.
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Old 2012-09-13, 23:46   #2
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Quote:
Originally Posted by 3.14159 View Post
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
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Old 2012-09-13, 23:55   #3
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Thank you very much. Just what I was looking for.
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Old 2012-09-13, 23:59   #4
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Originally Posted by 3.14159 View Post
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.
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Old 2012-09-14, 00:06   #5
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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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