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==Prime-generating polynomials== | ==Prime-generating polynomials== | ||
Below are some polynomials that give prime numbers for small input values, which give the value | Below are some polynomials that give prime numbers for small input values, which give the value 29 for suitable input choice. | ||
{| class="sortable" border="1" | {| class="sortable" border="1" | ||
! Polynomial !! Degree !! Some values for which it generates primes !! Input value <math>n</math> at which it generates | ! Polynomial !! Degree !! Some values for which it generates primes !! Input value <math>n</math> at which it generates 29 | ||
|- | |- | ||
| <math>n^2 - n + 17</math> || 2 || all numbers 1-16, because 17 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]]. || 4 | ||
|} | |} | ||
Revision as of 21:51, 15 January 2012
This article is about a particular natural number.|View all articles on particular natural numbers
Summary
Factorization
The number 29 is a prime number.
Prime-generating polynomials
Below are some polynomials that give prime numbers for small input values, which give the value 29 for suitable input choice.
| Polynomial | Degree | Some values for which it generates primes | Input value at which it generates 29 |
|---|---|---|---|
| 2 | all numbers 1-16, because 17 is one of the lucky numbers of Euler. | 4 |
