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What does primality mean?

Looking for the meaning or definition of the word primality? Here's what it means.

Noun
  1. The condition of being prime
  2. (mathematics) The condition of being a prime number
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Examples
Thus, Fermat's theorem gives a test that is necessary but not sufficient for primality.
However, if Dr Agrawal's primality test can be extended to factoring numbers, it would mean a rejigging of modern cryptography.
So-called primality testing plays a crucial role in the widely used RSA algorithm, whose security relies on the difficulty of finding a number's prime factors.
There is a new appendix on the recently discovered unconditional deterministic polynomial-time algorithm for primality testing.
Instead, mathematicians turn to other, indirect, methods that can test for primality without factorisation.
These are unary addition, problem of divisibility and the problem of primality.

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