Diferencia entre revisiones de «Potencia de dos»

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SeroBOT (discusión · contribs.)
m Revertidos los cambios de 181.49.92.208 (disc.) a la última edición de Panchito2807
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Línea 6:
Un [[número primo]] que es uno menos que una potencia de dos (por ejemplo, 31 = 2<sup>5</sup> − 1) recibe el nombre de [[número de Mersenne|número primo de Mersenne]], mientras que un número primo que es uno más que una potencia de dos (como el 257 = 2<sup>8</sup> + 1) recibe el nombre de [[número de Fermat|número primo de Fermat]]. Una [[fracción]] cuyo [[denominador]] sea una potencia de dos es una [[fracción diádica]].
 
== Las 9596 primeras potencias de dos ==
Listado de las 96 primeras potencias de dos.<ref>{{cita web|título=A000079 Powers of 2: a(n) = 2^n.|url=https://oeis.org/A000079|editorial=[[OEIS]]|idioma=en}}</ref>
{|class="wikitable" style="text-align:center"
|- style="background:#e9e9e9;"
|'''2<sup>0</sup>''' ||align="right"| '''[[Uno|1]]'''
| rowspan="15" bgcolor="white" rowspan=16|
|'''2<sup>16</sup>''' ||align="right"| '''65.536'''
| colspanbgcolor="2white" rowspan="15" bgcolor="white" 16|'''2<sup>32</sup>'''
<br />|| align="right" |'''65.5362<sup>32</sup>''' || align="right" | '''4.294.967.296'''
 
| rowspan="15" bgcolor="white" rowspan=16|
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
<br />|| align="right" |'''65.536'''|| align="right" |'''4.294.967.296'''
| rowspan="15" bgcolor="white" |
|'''2<sup>48</sup>''' ||align="right"| '''281.474.976.710.656'''
| rowspan="15" bgcolor="white" rowspan=16|
|'''2<sup>64</sup>''' ||align="right"| '''18.446.744.073.709.551.616'''
| rowspan="15" bgcolor="white" rowspan=16|
|'''2<sup>80</sup>''' ||align="right"| '''1.208.925.819.614.629.174.706.176'''
|-----
|2<sup>1</sup> ||align="right"| [[Dos|2]]
|2<sup>17</sup> ||align="right"| 131.072
||2<sup>33</sup> ||align="right" | 8.589.934.592
|2<sup>49</sup> ||align="right"| 562.949.953.421.312
|2<sup>65</sup> ||align="right"| 36.893.488.147.419.103.232
Línea 58 ⟶ 30:
|-----
|2<sup>2</sup> ||align="right"| [[Cuatro|4]]
|2<sup>18</sup> ||align="right"| 262.144
||2<sup>34</sup> ||align="right" | 17.179.869.184
|2<sup>50</sup> ||align="right"| 1.125.899.906.842.624
|2<sup>66</sup> ||align="right"| 73.786.976.294.838.206.464
Línea 64 ⟶ 37:
|-----
|2<sup>3</sup> ||align="right"| [[Ocho|8]]
|2<sup>19</sup> ||align="right"| 524.288
||2<sup>35</sup> ||align="right" | 34.359.738.368
|2<sup>51</sup> ||align="right"| 2.251.799.813.685.248
|2<sup>67</sup> ||align="right"| 147.573.952.589.676.412.928
Línea 70 ⟶ 44:
|-----
|'''2<sup>4</sup>''' ||align="right"| '''[[Dieciséis|16]]'''
|'''2<sup>20</sup>''' ||align="right"| '''1.048.576'''
||'''2<sup>36</sup>''' ||align="right" | '''68.719.476.736'''
|'''2<sup>52</sup>''' ||align="right"| '''4.503.599.627.370.496'''
|'''2<sup>68</sup>''' ||align="right"| '''295.147.905.179.352.825.856'''
Línea 76 ⟶ 51:
|-----
|2<sup>5</sup> ||align="right"| [[Treinta y dos|32]]
|2<sup>21</sup> ||align="right"| 2.097.152
||2<sup>37</sup> ||align="right" | 137.438.953.472
|2<sup>53</sup> ||align="right"| 9.007.199.254.740.992
|2<sup>69</sup> ||align="right"| 590.295.810.358.705.651.712
Línea 82 ⟶ 58:
|-----
|2<sup>6</sup> ||align="right"| [[Sesenta y cuatro|64]]
|2<sup>22</sup> ||align="right"| 4.194.304
||2<sup>38</sup> ||align="right" | 274.877.906.944
|2<sup>54</sup> ||align="right"| 18.014.398.509.481.984
|2<sup>70</sup> ||align="right"| 1.180.591.620.717.411.303.424
Línea 88 ⟶ 65:
|-----
|2<sup>7</sup> ||align="right"| [[Ciento veintiocho|128]]
|2<sup>23</sup> ||align="right"| 8.388.608
||2<sup>39</sup> ||align="right" | 549.755.813.888
|2<sup>55</sup> ||align="right"| 36.028.797.018.963.968
|2<sup>71</sup> ||align="right"| 2.361.183.241.434.822.606.848
|2<sup>87</sup> ||align="right"| 154.742.504.910.672.534.362.390.528
|-----
|- style="background:#e9e9e9;"
|'''2<sup>8</sup>''' || align="right" | '''[[Doscientos cincuenta y seis|256]]'''
|'''2<sup>24</sup>''' || align="right" | '''16.777.216'''
||'''2<sup>40</sup>''' ||align="right" | '''1.099.511.627.776'''
|'''2<sup>56</sup>''' || align="right" | '''72.057.594.037.927.936'''
|'''2<sup>72</sup>''' || align="right" | '''4.722.366.482.869.645.213.696'''
|'''2<sup>88</sup>''' || align="right" | '''309.485.009.821.345.068.724.781.056'''
|-----
|2<sup>9</sup> || align="right" | [[Quinientos doce|512]]
|2<sup>25</sup> || align="right" | 33.554.432
|2<sup>41</sup> || align="right" | 2.199.023.255.552
|2<sup>57</sup> || align="right" | 144.115.188.075.855.872
|2<sup>73</sup> || align="right" | 9.444.732.965.739.290.427.392
|2<sup>89</sup> || align="right" | 618.970.019.642.690.137.449.562.112
|-----
|2<sup>10</sup> || align="right" | [[Mil veinticuatro|1.024]]
|2<sup>26</sup> || align="right" | 67.108.864
|2<sup>42</sup> || align="right" | 4.398.046.511.104
|2<sup>58</sup> || align="right" | 288.230.376.151.711.744
|2<sup>74</sup> || align="right" | 18.889.465.931.478.580.854.784
|2<sup>90</sup> || align="right" | 1.237.940.039.285.380.274.899.124.224
|-----
|2<sup>11</sup> || align="right" | 2.048
|2<sup>27</sup> || align="right" | 134.217.728
|2<sup>43</sup> || align="right" | 8.796.093.022.208
|2<sup>59</sup> || align="right" | 576.460.752.303.423.488
|2<sup>75</sup> || align="right" | 37.778.931.862.957.161.709.568
|2<sup>91</sup> || align="right" | 2.475.880.078.570.760.549.798.248.448
|-----
|'''2<sup>12</sup>''' || align="right" | '''4.096'''
|'''2<sup>28</sup>''' || align="right" | '''268.435.456'''
||'''2<sup>44</sup>''' ||align="right" | '''17.592.186.044.416'''
|'''2<sup>60</sup>''' || align="right" | '''1.152.921.504.606.846.976'''
|'''2<sup>76</sup>''' || align="right" | '''75.557.863.725.914.323.419.136'''
|'''2<sup>92</sup>''' || align="right" | '''4.951.760.157.141.521.099.596.496.896'''
|-----
|2<sup>13</sup> || align="right" | 8.192
|2<sup>29</sup> || align="right" | 536.870.912
|2<sup>45</sup> || align="right" | 35.184.372.088.832
|2<sup>61</sup> || align="right" | 2.305.843.009.213.693.952
|2<sup>77</sup> || align="right" | 151.115.727.451.828.646.838.272
|2<sup>93</sup> || align="right" | 9.903.520.314.283.042.199.192.993.792
|-----
|2<sup>14</sup> || align="right" | 16.384
|2<sup>30</sup> || align="right" | 1.073.741.824
|2<sup>46</sup> || align="right" | 70.368.744.177.664
|2<sup>62</sup> || align="right" | 4.611.686.018.427.387.904
|2<sup>78</sup> || align="right" | 302.231.454.903.657.293.676.544
|2<sup>94</sup> || align="right" | 19.807.040.628.566.084.398.385.987.584
|-----
|2<sup>15</sup> || align="right" | 32.768
|2<sup>31</sup> || align="right" | 2.147.483.648
||2<sup>47</sup> ||align="right" | 140.737.488.355.328
|2<sup>63</sup> ||align="right"| 9.223.372.036.854.775.808
|2<sup>4779</sup> || align="right" | 9604.462.223909.372807.036314.854587.775353.808088
|2<sup>7995</sup> || align="right" | 60439.614.081.462257.909132.807168.314796.587771.353975.088168
|2<sup>95</sup>|| align="right" | 39.614.081.257.132.168.796.771.975.168
|}