Vipul: Created page with "{{particular number}} ==Summary== ===Factorization=== The number 2821 is a square-free number with prime factors 7, 13, and 31. The prime factorization is a..."

2012-01-15T21:22:34Z

Created page with "{{particular number}} ==Summary== ===Factorization=== The number 2821 is a square-free number with prime factors 7, 13, and 31. The prime factorization is a..."

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{{particular number}}

==Summary==

===Factorization===

The number 2821 is a [[square-free number]] with prime factors [[7]], [[13]], and [[31]]. The prime factorization is as follows:

<math>\! 2821 = 7 \cdot 13 \cdot 31</math>

===Properties and families===

{| class="sortable" border="1"
! Property or family !! Parameter values !! First few members !! Proof of membership/containment/satisfaction
|-
| [[Carmichael number]] || fifth among them || {{#lst:Carmichael number|list}} || The universal exponent is <math>\operatorname{lcm}\{ 6, 12, 30\} = 60</math> which divides 2821 - 1 = 2820.
|-
| [[Poulet number]] ([[Fermat pseudoprime]] to base 2) || eleventh among them || {{#lst:Poulet number|list}} || follows from being a Carmichael number.
|}

2821 - Revision history

Vipul: Created page with "{{particular number}} ==Summary== ===Factorization=== The number 2821 is a square-free number with prime factors 7, 13, and 31. The prime factorization is a..."