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amy666 Guest
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Posted: Sat Jul 12, 2008 8:07 pm Post subject: a^b + c^d + e^f = b^a + d^c + f^e ( number theory ) |
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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 Guest
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Posted: Sun Jul 13, 2008 3:33 am Post subject: Re: a^b + c^d + e^f = b^a + d^c + f^e ( number theory ) |
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"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 ?
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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 Guest
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Posted: Sun Jul 13, 2008 3:43 am Post subject: Re: a^b + c^d + e^f = b^a + d^c + f^e ( number theory ) |
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"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.
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Oops, I overlooked to condition >=2.
Hmm. then I dunno if a sol exists. |
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