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Math doesn't really work that way. Edit: Less snarkily, the integers are mysterious and not at all well understood and chock-full of effects like the one you m
by dullcrisp 14y ago
Math doesn't really work that way.
Edit: Less snarkily, the integers are mysterious and not at all well understood and chock-full of effects like the one you mentioned. It's fallacious to simply argue that because there are infinitely many primes, there must also be infinitely many primes of a given type.
- lutusp 14y ago> Math doesn't really work that way. In general, it does. The count of odd numbers in a set of integers. The count of integer square roots derived from a set of integers. And so forth. None of these can be used to argue that Mersenne primes have a fixed non-terminating relationship with their generating function as number size increases, but the reverse assertion cannot be categorically denied either, which is why work in this problem continues. > It's fallacious to simply argue that because there are infinitely many primes, there must also be infinitely many primes of a given type. Yes, therefore it's a good thing I didn't do that.