59 - Revision history

Vipul: /* Properties and families */

2013-07-10T00:53:20Z

Properties and families

← Older revision		Revision as of 00:53, 10 July 2013
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	\| [[satisfies property::irregular prime]] \|\| second irregular prime \|\| {{#lst:irregular prime\|list}} \|\|		\| [[satisfies property::irregular prime]] \|\| second irregular prime \|\| {{#lst:irregular prime\|list}} \|\|
	\|-		\|-
	\| [[satisfies property::safe prime]] (prime <math>p</math> such that <math>(p-1)/2</math> is also prime) \|\| ~~fifth~~ safe prime\|\| {{#lst:safe prime\|list}} \|\| <math>(59-1)/2</math> equals [[29]] which is prime.		\| [[satisfies property::safe prime]] (prime <math>p</math> such that <math>(p-1)/2</math> is also prime) \|\| sixth safe prime\|\| {{#lst:safe prime\|list}} \|\| <math>(59-1)/2</math> equals [[29]] which is prime.
	\|-		\|-
	\| smaller of a pair of [[twin primes]] \|\| \|\| {{#lst:twin primes\|list}} \|\| 59 + 2 = [[61]] which is prime.		\| smaller of a pair of [[twin primes]] \|\| \|\| {{#lst:twin primes\|list}} \|\| 59 + 2 = [[61]] which is prime.

Vipul at 00:52, 10 July 2013

2013-07-10T00:52:57Z

← Older revision		Revision as of 00:52, 10 July 2013
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	! Property or family !! Parameter values !! First few numbers !! Proof of satisfaction/membership/containment		! Property or family !! Parameter values !! First few numbers !! Proof of satisfaction/membership/containment
	\|-		\|-
	\| [[satisfies property::prime number]] \|\| ~~{{fillin}}~~ \|\| {{#lst:prime number\|list}} \|\| divide and check		\| [[satisfies property::prime number]] \|\| 17th prime number \|\| {{#lst:prime number\|list}} \|\| divide and check
	\|-		\|-
	\| [[satisfies property::irregular prime]] \|\| second irregular prime \|\| {{#lst:irregular prime\|list}} \|\|		\| [[satisfies property::irregular prime]] \|\| second irregular prime \|\| {{#lst:irregular prime\|list}} \|\|

Vipul: /* Properties and families */

2012-01-15T22:11:02Z

Properties and families

← Older revision		Revision as of 22:11, 15 January 2012
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	\|-		\|-
	\| [[satisfies property::safe prime]] (prime <math>p</math> such that <math>(p-1)/2</math> is also prime) \|\| fifth safe prime\|\| {{#lst:safe prime\|list}} \|\| <math>(59-1)/2</math> equals [[29]] which is prime.		\| [[satisfies property::safe prime]] (prime <math>p</math> such that <math>(p-1)/2</math> is also prime) \|\| fifth safe prime\|\| {{#lst:safe prime\|list}} \|\| <math>(59-1)/2</math> equals [[29]] which is prime.
			\|-
			\| smaller of a pair of [[twin primes]] \|\| \|\| {{#lst:twin primes\|list}} \|\| 59 + 2 = [[61]] which is prime.
	\|}		\|}

Vipul: /* Properties and families */

2012-01-15T22:10:26Z

Properties and families

← Older revision		Revision as of 22:10, 15 January 2012
Line 16:		Line 16:
	\| [[satisfies property::irregular prime]] \|\| second irregular prime \|\| {{#lst:irregular prime\|list}} \|\|		\| [[satisfies property::irregular prime]] \|\| second irregular prime \|\| {{#lst:irregular prime\|list}} \|\|
	\|-		\|-
	\| [[satisfies property::safe prime]] (prime <math>p</math> such that <math>(p-1)/2</math> is also prime) \|\| \|\| {{#lst:safe prime\|list}} \|\| <math>(59-1)/2</math> equals [[29]] which is prime.		\| [[satisfies property::safe prime]] (prime <math>p</math> such that <math>(p-1)/2</math> is also prime) \|\| fifth safe prime\|\| {{#lst:safe prime\|list}} \|\| <math>(59-1)/2</math> equals [[29]] which is prime.
	\|}		\|}

Vipul: /* Summary */

2012-01-15T22:10:04Z

Summary

← Older revision		Revision as of 22:10, 15 January 2012
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	The number 59 is a [[prime number]].		The number 59 is a [[prime number]].

			===Properties and families===

			{\| class="sortable" border="1"
			! Property or family !! Parameter values !! First few numbers !! Proof of satisfaction/membership/containment
			\|-
			\| [[satisfies property::prime number]] \|\| {{fillin}} \|\| {{#lst:prime number\|list}} \|\| divide and check
			\|-
			\| [[satisfies property::irregular prime]] \|\| second irregular prime \|\| {{#lst:irregular prime\|list}} \|\|
			\|-
			\| [[satisfies property::safe prime]] (prime <math>p</math> such that <math>(p-1)/2</math> is also prime) \|\| \|\| {{#lst:safe prime\|list}} \|\| <math>(59-1)/2</math> equals [[29]] which is prime.
			\|}

	==Prime-generating polynomials==		==Prime-generating polynomials==

Vipul: Created page with "{{particular natural number}} ==Summary== ===Factorization=== The number 59 is a prime number. ==Prime-generating polynomials== Below are some polynomials that give p..."

2012-01-15T22:08:02Z

Created page with "{{particular natural number}} ==Summary== ===Factorization=== The number 59 is a prime number. ==Prime-generating polynomials== Below are some polynomials that give p..."

New page

{{particular natural number}}

==Summary==

===Factorization===

The number 59 is a [[prime number]].

==Prime-generating polynomials==

Below are some polynomials that give prime numbers for small input values, which give the value 59 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 59
|-
| <math>n^2 - n + 17</math> || 2 || all numbers 1-16, because 17 is one of the [[lucky numbers of Euler]]. || 7
|}