
How Do Mathematicians Know Their Proofs Are Correct?
The Joy of Why
How Do You Get From a Conjecture to a Proof?
It's a theorem that they will change leads infinitely, often, really. So they will keep trading the leads. But it is really great example to keep in the back of your mind when you're studying prime numbers. Just because something was true for the first 600 billion cases doesn't mean that it will always be true.
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