61: Difference between revisions
(Created page with "==Summary== ===Factorization=== The number 61 is a prime number. ==Prime-generating polynomials== Below are some polynomials that give prime numbers for small input va...") |
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| <math>n^2 - n + 41</math> || 2 || all numbers 1-40, because 41 is one of the [[lucky numbers of Euler]]. || 5 | | <math>n^2 - n + 41</math> || 2 || all numbers 1-40, because 41 is one of the [[lucky numbers of Euler]]. || 5 | ||
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| <math>2n^2 + 29</math> || 2 || all numbers 0-28 || 4 | |||
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Revision as of 22:44, 15 January 2012
Summary
Factorization
The number 61 is a prime number.
Prime-generating polynomials
Below are some polynomials that give prime numbers for small input values, which give the value 61 for suitable input choice.
| Polynomial | Degree | Some values for which it generates primes | Input value at which it generates 61 |
|---|---|---|---|
| 2 | all numbers 1-40, because 41 is one of the lucky numbers of Euler. | 5 | |
| 2 | all numbers 0-28 | 4 |