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a^b + c^d + e^f = b^a + d^c + f^e ( number theory )

 
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amy666
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PostPosted: Sat Jul 12, 2008 8:07 pm    Post subject: a^b + c^d + e^f = b^a + d^c + f^e ( number theory ) Reply with quote

let all variables be distinct integers >= 2.
a^b + c^d + e^f = b^a + d^c + f^e

does a solution exist ?

regards

tommy1729
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joe
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PostPosted: Sun Jul 13, 2008 3:33 am    Post subject: Re: a^b + c^d + e^f = b^a + d^c + f^e ( number theory ) Reply with quote

"amy666" <tommy1729@hotmail.com> wrote:
Quote:

let all variables be distinct integers >= 2.
a^b + c^d + e^f = b^a + d^c + f^e

does a solution exist ?

It seems to be true for v >= 17.
Tested only upto v=120 using combination sets of size k=6.
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joe
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PostPosted: Sun Jul 13, 2008 3:43 am    Post subject: Re: a^b + c^d + e^f = b^a + d^c + f^e ( number theory ) Reply with quote

"joe" <joe@iamnotathome.org.invalid> wrote:
Quote:
"amy666" <tommy1729@hotmail.com> wrote:

let all variables be distinct integers >= 2.
a^b + c^d + e^f = b^a + d^c + f^e

does a solution exist ?

It seems to be true for v >= 17.
Tested only upto v=120 using combination sets of size k=6.

Oops, I overlooked to condition >=2.
Hmm. then I dunno if a sol exists.
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