61: Difference between revisions

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(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 n at which it generates 61
n2n+41 2 all numbers 1-40, because 41 is one of the lucky numbers of Euler. 5
2n2+29 2 all numbers 0-28 4