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- This is the most dangerous problem in mathematics, one that young mathematicians are warned not to waste their time on. Its a simple conjecture that not even the worlds best mathematicians have been able to solve. Paul Erdos, a famous mathematician, said, Mathematics is not yet ripe enough for such questions. Heres how it works. Pick a number, any number. Seven? Good choice. Okay, were gonna apply two rules. If the number is odd, we multiply by three and add one. So three times seven is 21, plus one is 22. If the number is even, we divide by two. So 22 divided by two is 11. Now, we keep applying these two rules. 11 is odd, so we multiply by 3, 33, and add 1, 34. Even, divide by two, 17, odd. Multiply by 3, 51, add 1, 52, even. Divide by two, 26, still even. Divide by two, 13, odd. So we multiply by 3, 39, add one, and thats 40, which is even, so we divide by two, 20, divide by two, 10, divide by two, five, odd. Multiply by three, 15, add one, 16, divide by two thats eight, a