101: Difference between revisions

Revision as of 22:55, 15 January 2012

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The number 101 is a prime number.

Below are some polynomials that give prime numbers for small input values, which give the value 101 for suitable input choice.

Polynomial	Degree	Some values for which it generates primes	Input value $n$ at which it generates 101
$n^{2} - n + 11$	2	all numbers 1-10, because 11 is one of the lucky numbers of Euler.	10
$2 n^{2} + 29$	2	all numbers 0-28	6

@@ Line 13: / Line 13: @@
 {| class="sortable" border="1"
 ! Polynomial !! Degree !! Some values for which it generates primes !! Input value <math>n</math> at which it generates 101
+|-
+| <math>n^2 - n + 11</math> || 2 || all numbers 1-10, because 11 is one of the [[lucky numbers of Euler]]. || 10
 |-
 | <math>2n^2 + 29</math> || 2 || all numbers 0-28 || 6
 |}