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Want a number theory problem?

Want a number theory problem?

Posers and Puzzles

D

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25 Aug 06
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16 Aug 09
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1. Find as many triples a,b,c of positive integers as you can, that satisfy the inequalities 0 < a^2+b^2-abc <= c. You may use a computer πŸ™‚

2. Now look at the value of a^2+b^2-abc in those triples.

3. Conjecture.

4. Prove or disprove πŸ™‚

c

Joined
29 Apr 05
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16 Aug 09
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1. did that, there a lots and lots
2. did that
3. only square numbers
4. Ummmm, I'll think about that πŸ™‚

c

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Can you do this with basic math knowledge? I have no clue what to do. πŸ™‚

D

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Originally posted by crazyblue
Can you do this with basic math knowledge? I have no clue what to do. πŸ™‚
Yes. Nothing more than basic algebra is needed.

C

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What do you mean by triples?

D

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Originally posted by CM123
What do you mean by triples?
A triple of numbers is simply three numbersπŸ™‚

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