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#1 2007-03-13 05:28:35
- soroban
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- Registered: 2007-03-09
- Posts: 452
Interesting?
. . .
But there is no pattern . . . these are coincidences.
However, the following is a valid pattern:
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#2 2007-03-13 06:16:57
- JaneFairfax
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- Registered: 2007-02-23
- Posts: 6,868
Re: Interesting?
The formula I recall is
You can easily prove that
Therefore for n > 1
Thats the formula, right? 
Last edited by JaneFairfax (2007-03-13 06:25:42)
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#3 2007-03-13 09:31:41
- krassi_holmz
- Real Member
- Registered: 2005-12-02
- Posts: 1,905
Re: Interesting?
Yes, THAT's It.
IPBLE: Increasing Performance By Lowering Expectations.
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#4 2007-03-13 12:51:28
- John E. Franklin
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- Registered: 2005-08-29
- Posts: 3,588
Re: Interesting?
soroban, I spent ten minutes with lots of summations of fourth powers and could find
nothing that adds up or adds and subtracts to another power of 4. Sorry.
But I like what you came up with.
igloo myrtilles fourmis
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#5 2007-03-14 01:57:40
- mathsyperson
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- Registered: 2005-06-22
- Posts: 4,900
Re: Interesting?
There definitely are natural numbers a, b, c, d such that a^4 + b^4 + c^4 = d^4.
I remember reading about it, because that was a conjecture for quite a while and then someone found a set that worked. They're all huge though, and I can't remember what they were.
Why did the vector cross the road?
It wanted to be normal.
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#6 2007-03-17 10:04:54
- lightning
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- Registered: 2007-02-26
- Posts: 2,060
Re: Interesting?
i can see why you called it interesting because this is very interesting
Zappzter - New IM app! Unsure of which room to join? "ZNU" is made to help new users. c:
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