47: Difference between revisions

Latest revision as of 22:43, 15 January 2012

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The number 47 is a prime number.

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

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 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.
+{| class="sortable" border="1"
+! Polynomial !! Degree !! Some values for which it generates primes !! Input value <math>n</math> at which it generates 47
+|-
+| <math>n^2 - n + 17</math> || 2 || all numbers 1-16, because 17 is one of the [[lucky numbers of Euler]]. || 6
+|-
+| <math>n^2 - n + 41</math> || 2 || all numbers 1-40, because 41 is one of the [[lucky numbers of Euler]]. || 3
+|-
+| <math>2n^2 + 29</math> || 2 || all numbers 0-28 || 3
+|}