transfinite arithmetic, cardinal arithmetic, ordinal arithmetic
prime field, p-adic integer, p-adic rational number, p-adic complex number
arithmetic geometry, function field analogy
In number theory, the Goldbach conjecture is the following conjecture.
Every even number greater than 2 is the sum of two prime numbers.
It was observed in Ricardo 05 that the Goldbach conjecture implies a simple proof of Bertrand's postulate (which has been proven, independently of the Goldbach conjecture). See there for details.
See also
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