Want a number theory problem?

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 🙂

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

3. Conjecture.

4. Prove or disprove 🙂

1. did that, there a lots and lots
2. did that
3. only square numbers
4. Ummmm, I'll think about that 🙂

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

Originally posted by crazyblue
Can you do this with basic math knowledge? I have no clue what to do. 🙂

Yes. Nothing more than basic algebra is needed.

What do you mean by triples?

Originally posted by CM123
What do you mean by triples?

A triple of numbers is simply three numbers🙂