Hey, folks

[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.

[science_man_88]

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

[3.14159]

Originally Posted by science_man_88

http://mathworld.wolfram.com/Diophan...5thPowers.html

Thank you very much. Just what I was looking for.

[science_man_88]

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.

[3.14159]

It was out of curiosity.

edit: and because I wanted to offer a small challenge to some other folks.