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How Do Mathematicians Know Their Proofs Are Correct?

The Joy of Why

CHAPTER

Probability and Statistics in Connection With the Primes

Maths and number theorists like you have used statistical or probablistic arguments in thinking about the primes. I wonder if you could sketch something like that for me using coin flipping. And actly what we were talking about at the beginning, odd numbers and even numbers, ok? So, unlike the primes, we actually understand very well the pattern of odd and even numbers. But suppose we didn't understand that pattern, and were using this to understand how many odd numbers you might find if you looked at all the numbers up to a million. You could imagine, since ther two possibilities, a number could be odd or anumber could be even,. Maybe someone went along and flipped a

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