23: Difference between revisions

Revision as of 21:49, 15 January 2012

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The number 23 is a prime number.

Below are some polynomials that give prime numbers for small input values, which give the value 23 for suitable input choice.

Polynomial	Degree	Some values for which it generates primes	Input value $n$ at which it generates 23
$n^{2}-n+11$	2	all numbers 1-10, because 11 is one of the lucky numbers of Euler.	4
$n^{2}-n+17$	2	all numbers 1-16, because 17 is one of the lucky numbers of Euler.	3

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 The number 23 is a [[prime number]].
+==Prime-generating polynomials==
+Below are some polynomials that give prime numbers for small input values, which give the value 23 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 23
+|-
+| <math>n^2 - n + 11</math> || 2 || all numbers 1-10, because 11 is one of the [[lucky numbers of Euler]]. || 4
+|-
+| <math>n^2 - n + 17</math> || 2 || all numbers 1-16, because 17 is one of the [[lucky numbers of Euler]]. || 3
+|}