53

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Summary

Factorization

The number 53 is a prime number.

Properties and families

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Prime-generating polynomials

Below are some polynomials that give prime numbers for small input values, which give the value 53 for suitable input choice.

Polynomial	Degree	Some values for which it generates primes	Input value $n$ at which it generates 53
$n^{2}-n+11$	2	all numbers 1-10, because 11 is one of the lucky numbers of Euler.	7
$n^{2}-n+41$	2	all numbers 1-40, because 41 is one of the lucky numbers of Euler.	5