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Teoria de números/Números primos: diferenças entre revisões

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\pagecolor isn't needed anymore and doesn't have any effect
 
Linha 101:
|width="40px"| ...
|-
! fatoração de <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}n</math>
| 2
| <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}2\cdot 2</math>
| 6
| <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}2\cdot 2\cdot 2</math>
| 10
| <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}2\cdot 6</math>
| 14
| <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}2\cdot 2\cdot 2\cdot 2</math>
| 18
| ...
Linha 169:
|width="40px"| ...
|-
! fatoração de <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}n</math>
| 1
| 5
Linha 176:
| 17
| 21
| <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}5\cdot 5</math>
| 29
| ...
| <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}5\cdot 9</math>
| ...
| <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}5\cdot 13</math>
| ...
| <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}9\cdot 13</math>
| ...
|}
Linha 211:
 
{| class="wikitable" style="text-align:center"
!<math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}r</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}n = 2 \cdot 3 \cdot \ldots \cdot p_r + 1</math> || Fatoração de <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}n</math> || Tipo
|-
|<math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}1</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}3 = 2+1</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}3</math> || primo
|-
|<math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}2</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}7 = 2\cdot3 +1</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}7</math> || primo
|-
|<math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}3</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}31 = 2\cdot3\cdot5 +1</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}31</math> || primo
|-
|<math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}4</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}211 = 2\cdot3\cdot5\cdot7 +1</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}211</math> || primo
|-
|<math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}5</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}2311 = 2\cdot3\cdot5\cdot7\cdot11 +1</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}2311</math> || primo
|-
|<math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}6</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}30031 = 2\cdot3\cdot5\cdot7\cdot11\cdot13 +1</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}59\cdot509</math> || composto
|-
|<math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}7</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}510511 = 2\cdot3\cdot5\cdot7\cdot11\cdot13\cdot17 +1</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}19\cdot97\cdot277</math> || composto
|}
 
Linha 259:
 
{| class="wikitable" style="text-align:center"
!<math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}n</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}x(n) = n!+1</math> || Fatoração de <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}x(n)</math> || Tipo
|-
|<math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}1</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}2 = 1+1</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}2</math> || primo
|-
|<math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}2</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}3 = 1\cdot2+1</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}3</math> || primo
|-
|<math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}3</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}7 = 1\cdot2\cdot3+1</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}7</math> || primo
|-
|<math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}4</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}25 = 1\cdot2\cdot3\cdot4+1</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}5\cdot5</math> || composto
|-
|<math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}5</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}121 = 1\cdot2\cdot3\cdot4\cdot5+1</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}11\cdot11</math> || composto
|-
| ... || ... || ... || ...
|-
|<math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}26951</math> || (bem grande!) || ... || primo
|}
 
Linha 298:
 
{| class="wikitable" style="text-align:center"
!<math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}k</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}N_k</math> || Fatoração de <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}N_k</math>
|-
|<math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}1</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}2 = 1+1</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}2</math>
|-
|<math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}2</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}6 = 2\cdot(2+1)</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}2\cdot3</math>
|-
|<math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}3</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}42 = 6\cdot(6+1)</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}2\cdot3\cdot7</math>
|-
|<math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}4</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}1806 = 42\cdot(42+1)</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}2\cdot3\cdot7\cdot43</math>
|-
|<math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}5</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}3263442 = 1806\cdot(1806 +1)</math> || <math>\definecolor{cinza}{RGB}{249,249,249}\pagecolor{cinza}2\cdot3\cdot7\cdot43\cdot13\cdot139</math>
|}
 
Obtido em "https://pt.wikibooks.org/wiki/Teoria_de_números/Números_primos"