prime number

Noun

Meaning

an integer that has no integral factors but itself and 1

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Examples

D. J. Newman observed that the full strength of Ikehara's theorem is not needed for the prime number theorem, and one can get away with a special case that is much easier to prove. Source: Internet

Havil 2003, p. 171 The distribution of primes in the large, such as the question how many primes are smaller than a given, large threshold, is described by the prime number theorem, but no efficient formula for the n-th prime is known. Source: Internet

If the number 1 is excluded, while keeping divisibility as ordering on the elements greater than 1, then the resulting poset does not have a least element, but any prime number is a minimal element for it. Source: Internet

Any composite number is measured by some prime number. Source: Internet

A simple example is that almost all prime numbers are odd, which is based on the fact that all but one prime number are odd. Source: Internet

Equivalently, a prime number is a positive integer which has exactly two positive factors: 1 and itself. Source: Internet

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