47

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Summary

Factorization

The number 47 is a prime number.

Prime-generating polynomials

Below are some polynomials that give prime numbers for small input values, which give the value 47 for suitable input choice.

Polynomial	Degree	Some values for which it generates primes	Input value $n$ at which it generates 47
$n^{2}-n+17$	2	all numbers 1-16, because 17 is one of the lucky numbers of Euler.	6
$n^{2}-n+41$	2	all numbers 1-40, because 41 is one of the lucky numbers of Euler.	3
$2n^{2}+29$	2	all numbers 0-28	3