Primes: n*2^m+1: Difference between revisions
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[[oeis:A050921|A050921 - Smallest prime of form n*2^m+1]] |
[[oeis:A050921|A050921 - Smallest prime of form n*2^m+1]] |
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=={{header|Julia}}== |
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<syntaxhighlight lang = "julia">""" Rosetta code task: rosettacode.org/wiki/Primes:_n*2%5Em%2B1 """ |
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using Primes |
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""" Return true if there is an m such that n * 2**m + 1 is prime """ |
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function n2m1(n) |
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for m in big"1":big"10"^300 |
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isprime(n * big"2"^m + 1) && return m |
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end |
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return 0 |
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end |
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println(" N M Prime\n------------------") |
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for n in 1:401 |
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m = n2m1(n) |
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m != 0 && println(lpad(n, 5), lpad(m, 5), " ", n * big"2"^m + 1) |
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end |
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</syntaxhighlight>{{out}} |
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<pre> |
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N M Prime |
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------------------ |
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1 1 3 |
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2 1 5 |
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3 1 7 |
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4 2 17 |
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5 1 11 |
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6 1 13 |
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7 2 29 |
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8 1 17 |
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9 1 19 |
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10 2 41 |
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11 1 23 |
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12 3 97 |
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13 2 53 |
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14 1 29 |
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15 1 31 |
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16 4 257 |
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17 3 137 |
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18 1 37 |
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19 6 1217 |
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20 1 41 |
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21 1 43 |
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22 2 89 |
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23 1 47 |
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24 2 97 |
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25 2 101 |
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26 1 53 |
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27 2 109 |
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28 2 113 |
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29 1 59 |
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30 1 61 |
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31 8 7937 |
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32 3 257 |
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33 1 67 |
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34 2 137 |
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35 1 71 |
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36 1 73 |
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37 2 149 |
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38 5 1217 |
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39 1 79 |
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40 4 641 |
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41 1 83 |
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42 3 337 |
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43 2 173 |
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44 1 89 |
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45 2 181 |
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46 8 11777 |
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47 583 1487939695262196876907983166454197495251350196192890428923003345454869706240895712896623468784438158657419591298913094265537812046389415279164757669092989298186306341246574002177 |
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48 1 97 |
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49 2 197 |
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50 1 101 |
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51 1 103 |
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52 6 3329 |
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53 1 107 |
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54 1 109 |
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55 4 881 |
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56 1 113 |
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57 2 229 |
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58 2 233 |
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59 5 1889 |
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60 2 241 |
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61 4 977 |
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62 7 7937 |
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63 1 127 |
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64 2 257 |
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65 1 131 |
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66 5 2113 |
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67 2 269 |
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68 1 137 |
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69 1 139 |
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70 2 281 |
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71 3 569 |
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72 3 577 |
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73 2 293 |
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74 1 149 |
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75 1 151 |
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76 4 1217 |
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77 3 617 |
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78 1 157 |
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79 2 317 |
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80 3 641 |
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81 1 163 |
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82 10 83969 |
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83 1 167 |
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84 2 337 |
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85 4 1361 |
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86 1 173 |
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87 2 349 |
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88 2 353 |
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89 1 179 |
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90 1 181 |
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91 8 23297 |
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92 7 11777 |
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93 2 373 |
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94 582 1487939695262196876907983166454197495251350196192890428923003345454869706240895712896623468784438158657419591298913094265537812046389415279164757669092989298186306341246574002177 |
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95 1 191 |
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96 1 193 |
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97 2 389 |
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98 1 197 |
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99 1 199 |
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100 2 401 |
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101 3 809 |
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102 2 409 |
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103 16 6750209 |
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104 5 3329 |
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105 1 211 |
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106 4 1697 |
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107 3 857 |
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108 2 433 |
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109 6 6977 |
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110 3 881 |
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111 1 223 |
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112 2 449 |
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113 1 227 |
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114 1 229 |
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115 2 461 |
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116 1 233 |
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117 3 937 |
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118 4 1889 |
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119 1 239 |
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120 1 241 |
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121 8 30977 |
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122 3 977 |
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123 6 7873 |
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124 6 7937 |
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125 1 251 |
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126 3 1009 |
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127 2 509 |
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128 1 257 |
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129 3 1033 |
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130 2 521 |
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131 1 263 |
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132 4 2113 |
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133 4 2129 |
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134 1 269 |
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135 1 271 |
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136 12 557057 |
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137 3 1097 |
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138 1 277 |
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139 2 557 |
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140 1 281 |
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141 1 283 |
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142 2 569 |
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143 53 1288029493427961857 |
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144 2 577 |
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145 6 9281 |
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146 1 293 |
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147 8 37633 |
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148 2 593 |
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149 3 1193 |
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150 2 601 |
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151 4 2417 |
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152 3 1217 |
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153 1 307 |
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154 2 617 |
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155 1 311 |
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156 1 313 |
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157 8 40193 |
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158 1 317 |
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159 6 10177 |
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160 2 641 |
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161 3 1289 |
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162 3 1297 |
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163 2 653 |
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164 9 83969 |
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165 1 331 |
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166 4 2657 |
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167 7 21377 |
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168 1 337 |
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169 2 677 |
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170 3 1361 |
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171 8 43777 |
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172 4 2753 |
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173 1 347 |
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174 1 349 |
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175 2 701 |
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176 1 353 |
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177 2 709 |
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178 6 11393 |
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179 1 359 |
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180 7 23041 |
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181 4 2897 |
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182 7 23297 |
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183 1 367 |
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184 6 11777 |
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185 3 1481 |
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186 1 373 |
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187 6 11969 |
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188 581 1487939695262196876907983166454197495251350196192890428923003345454869706240895712896623468784438158657419591298913094265537812046389415279164757669092989298186306341246574002177 |
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189 1 379 |
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190 2 761 |
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191 1 383 |
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192 2 769 |
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193 2 773 |
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194 1 389 |
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195 4 3121 |
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196 4 3137 |
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197 15 6455297 |
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198 1 397 |
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199 2 797 |
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200 1 401 |
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201 3 1609 |
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202 2 809 |
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203 13 1662977 |
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204 1 409 |
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205 2 821 |
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206 15 6750209 |
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207 2 829 |
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208 4 3329 |
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209 1 419 |
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210 1 421 |
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211 20 221249537 |
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212 3 1697 |
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213 2 853 |
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214 2 857 |
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215 1 431 |
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216 1 433 |
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217 66 16011773855979890802689 |
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218 5 6977 |
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219 1 439 |
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220 2 881 |
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221 1 443 |
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222 3 1777 |
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223 8 57089 |
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224 1 449 |
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225 3 1801 |
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226 4 3617 |
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227 11 464897 |
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228 1 457 |
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229 6 14657 |
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230 1 461 |
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231 1 463 |
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232 2 929 |
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233 1 467 |
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234 2 937 |
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235 2 941 |
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236 3 1889 |
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237 4 3793 |
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238 2 953 |
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239 1 479 |
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240 5 7681 |
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241 36 16561393893377 |
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242 7 30977 |
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243 1 487 |
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244 2 977 |
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245 1 491 |
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246 5 7873 |
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247 6 15809 |
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248 5 7937 |
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249 1 499 |
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250 4 4001 |
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251 1 503 |
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252 2 1009 |
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253 2 1013 |
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254 1 509 |
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255 2 1021 |
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256 8 65537 |
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257 279 249632952651006185613150855026822179503549278818199928480857894651449200648869292015617 |
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258 2 1033 |
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259 38 71193377898497 |
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260 1 521 |
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261 1 523 |
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262 2 1049 |
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263 29 141197049857 |
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264 3 2113 |
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265 2 1061 |
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266 3 2129 |
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267 2 1069 |
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268 4 4289 |
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269 3 2153 |
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270 1 541 |
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271 4 4337 |
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272 11 557057 |
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273 1 547 |
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274 2 1097 |
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275 7 35201 |
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276 8 70657 |
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277 2 1109 |
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278 1 557 |
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279 2 1117 |
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280 4 4481 |
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281 1 563 |
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282 2 1129 |
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283 30 303868936193 |
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284 1 569 |
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285 1 571 |
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286 52 1288029493427961857 |
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287 3 2297 |
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288 1 577 |
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289 10 295937 |
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290 5 9281 |
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291 4 4657 |
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292 4 4673 |
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293 1 587 |
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294 7 37633 |
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295 2 1181 |
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296 1 593 |
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297 3 2377 |
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298 2 1193 |
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299 1 599 |
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300 1 601 |
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301 4 4817 |
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302 3 2417 |
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303 1 607 |
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304 2 1217 |
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305 3 2441 |
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306 1 613 |
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307 2 1229 |
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308 1 617 |
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309 1 619 |
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310 6 19841 |
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311 9 159233 |
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312 2 1249 |
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313 4 5009 |
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314 7 40193 |
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315 1 631 |
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316 8 80897 |
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317 7 40577 |
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318 5 10177 |
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319 2 1277 |
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320 1 641 |
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321 1 643 |
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322 2 1289 |
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323 1 647 |
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324 2 1297 |
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325 2 1301 |
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326 1 653 |
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327 3 2617 |
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328 8 83969 |
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329 1 659 |
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330 1 661 |
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331 4 5297 |
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332 3 2657 |
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333 5 10657 |
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334 6 21377 |
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335 19 175636481 |
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336 1 673 |
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337 4 5393 |
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338 1 677 |
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339 3 2713 |
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340 2 1361 |
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341 1 683 |
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342 7 43777 |
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343 2 1373 |
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344 3 2753 |
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345 1 691 |
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346 12 1417217 |
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347 3 2777 |
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348 4 5569 |
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349 10 357377 |
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350 1 701 |
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351 12 1437697 |
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352 2 1409 |
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353 21 740294657 |
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354 1 709 |
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355 6 22721 |
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356 5 11393 |
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357 2 1429 |
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358 2 1433 |
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359 1 719 |
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360 6 23041 |
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361 28 96905199617 |
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362 3 2897 |
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363 1 727 |
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364 6 23297 |
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365 5 11681 |
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366 1 733 |
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367 12 1503233 |
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368 5 11777 |
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369 1 739 |
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370 2 1481 |
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371 1 743 |
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372 2 1489 |
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373 2 1493 |
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374 5 11969 |
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375 1 751 |
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376 580 1487939695262196876907983166454197495251350196192890428923003345454869706240895712896623468784438158657419591298913094265537812046389415279164757669092989298186306341246574002177 |
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377 11 772097 |
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378 1 757 |
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379 14 6209537 |
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380 1 761 |
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381 3 3049 |
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382 4 6113 |
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383 6393 11693945185971565896920916176753769281418376445302724140914106576604960252116205468905429628661873192664799900323401294531072465400997845029722990758855393414014415817179228695517839305455702961095094596926622802342799137107509767542153683280899327558274011281588755909890607960835140712630830933978801393590855371457894042968287926562847826310125559303901351824980311279986492793008248059208985097459095049075732193161126922389950080848742183055141518931962329796357335158955758486061360294773463111842316561192036096585088267052290025273980611139612478214293303564141730470933187279751846912161098280963960686648202780382930927114525552446602357404550468641236474238897222372272898562140228039886991631673186995098587756569010989657598363351856992206826342175536967926902668804937341514786382018872919876784539436965319822540039220122728568129762675989071883516915894567537630751801497223803135172643203770169327233350522822938630733126833423559124391441973547309619943019237705312515304113424366223388373606440335025932390399945086075175009569272136997988977568262327875607690344516747889133920438003737328060362069562108376086129279385800262195985974144460914705464874882401864174074796383557151951711000378565395148939760434428093058777242253682181813425273399277638142811972296863003382484684788329148214958434057306251885787781329925372401240556666727438408378656900945061970219566055969587385482421092779185798692904507774583223151161566406541599486350580593707153172641891804260963429951215526999443852964537303345106153870841180251403751871193132336680841124129779119999935597712685839886558769823834654994044516702436738265181698869580022472787153167463772595005393815295009535991557511340157179280662197799109181549751673455040271529561595718940092424231253150263268513067972937042222806102175350331146290864120703025608712817763221723427454002746818270565050919821097445991953785331131470462682015972815241620750337 |
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384 1 769 |
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385 8 98561 |
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386 1 773 |
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387 2 1549 |
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388 2 1553 |
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389 11 796673 |
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390 3 3121 |
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391 4 6257 |
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392 3 3137 |
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393 1 787 |
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394 14 6455297 |
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395 5 12641 |
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396 3 3169 |
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397 4 6353 |
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398 1 797 |
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399 2 1597 |
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400 2 1601 |
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</pre> |
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