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What Is Number Theory?

science.howstuffworks.com/math-concepts/number-theory.htm

For many of us, a number is just a number, a bit of information that tells you, say, what time it is. But mathematicians look at that same number and divine relationships that underlie nature itself. Ready to enter the trippy world of number theory?

Even the Smartest Mathematicians Can't Solve the Collatz Conjecture

science.howstuffworks.com/math-concepts/collatz-conjecture.htm

The Collatz conjecture can be worked on by 9-year-old math whizzes, but it's flummoxed some of the greatest minds of the past century. Will it ever be solved?

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