Vipul: /* Properties and families */

2012-01-02T21:32:08Z

Properties and families

← Older revision		Revision as of 21:32, 2 January 2012
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	\| [[satisfies property::Mersenne number]] <math>M_n = 2^n - 1</math> \|\| 11, i.e., it is <math>M_{11} = 2^{11} - 1</math> \|\| {{#lst:Mersenne number\|list}} \|\| plug and check		\| [[satisfies property::Mersenne number]] <math>M_n = 2^n - 1</math> \|\| 11, i.e., it is <math>M_{11} = 2^{11} - 1</math> \|\| {{#lst:Mersenne number\|list}} \|\| plug and check
	\|-		\|-
	\| [[satisfies property::Poulet number]] (also called Sarrus number), i.e., [[Fermat pseudoprime]] to base 2 \|\| ~~eight~~ Poulet number \|\| {{#lst:Poulet number\|list}} \|\| [[Mersenne number for prime or Poulet implies prime or Poulet]], 11 is prime, but <math>M_{11}</math> is not prime, hence it must be Poulet.		\| [[satisfies property::Poulet number]] (also called Sarrus number), i.e., [[Fermat pseudoprime]] to base 2 \|\| eighth Poulet number \|\| {{#lst:Poulet number\|list}} \|\| [[Mersenne number for prime or Poulet implies prime or Poulet]], 11 is prime, but <math>M_{11}</math> is not prime, hence it must be Poulet.
	\|}		\|}

Vipul: Created page with "{{particular natural number}} ==Summary== ===Factorization=== The number 2047 has the following prime factorization: $\! 2047 = 23 * 89$ ===Properties and fami..."

2012-01-02T21:30:35Z

Created page with "{{particular natural number}} ==Summary== ===Factorization=== The number 2047 has the following prime factorization: <math>\! 2047 = 23 * 89</math> ===Properties and fami..."

New page

{{particular natural number}}

==Summary==

===Factorization===

The number 2047 has the following prime factorization:

<math>\! 2047 = 23 * 89</math>

===Properties and families===

{| class="sortable" border="1"
! Property or family !! Parameter values !! First few members !! Proof of satisfaction/membership/containment
|-
| [[satisfies property::Mersenne number]] <math>M_n = 2^n - 1</math> || 11, i.e., it is <math>M_{11} = 2^{11} - 1</math> || {{#lst:Mersenne number|list}} || plug and check
|-
| [[satisfies property::Poulet number]] (also called Sarrus number), i.e., [[Fermat pseudoprime]] to base 2 || eight Poulet number || {{#lst:Poulet number|list}} || [[Mersenne number for prime or Poulet implies prime or Poulet]], 11 is prime, but <math>M_{11}</math> is not prime, hence it must be Poulet.
|}

2047 - Revision history

Vipul: /* Properties and families */

Vipul: Created page with "{{particular natural number}} ==Summary== ===Factorization=== The number 2047 has the following prime factorization: \! 2047 = 23 * 89 ===Properties and fami..."

Vipul: Created page with "{{particular natural number}} ==Summary== ===Factorization=== The number 2047 has the following prime factorization: $\! 2047 = 23 * 89$ ===Properties and fami..."