Prime numbers are integers greater than one which only can divided with itself or 1 without remainder.


The first 200 prime-numbers:

2 1 3 2 5 3 7 4 11 5 13 6 17 7
19 8 23 9 29 10 31 11 37 12 41 13 43 14
47 15 53 16 59 17 61 18 67 19 71 20 73 21
79 22 83 23 89 24 97 25 101 26 103 27 107 28
109 29 113 30 127 31 131 32 137 33 139 34 149 35
151 36 157 37 163 38 167 39 173 40 179 41 181 42
191 43 193 44 197 45 199 46 211 47 223 48 227 49
229 50 233 51 239 52 241 53 251 54 257 55 263 56
269 57 271 58 277 59 281 60 283 61 293 62 307 63
311 64 313 65 317 66 331 67 337 68 347 69 349 70
353 71 359 72 367 73 373 74 379 75 383 76 389 77
397 78 401 79 409 80 419 81 421 82 431 83 433 84
439 85 443 86 449 87 457 88 461 89 463 90 467 91
479 92 487 93 491 94 499 95 503 96 509 97 521 98
523 99 541 100 547 101 557 102 563 103 569 104 571 105
577 106 587 107 593 108 599 109 601 110 607 111 613 112
617 113 619 114 631 115 641 116 643 117 647 118 653 119
659 120 661 121 673 122 677 123 683 124 691 125 701 126
709 127 719 128 727 129 733 130 739 131 743 132 751 133
757 134 761 135 769 136 773 137 787 138 797 139 809 140
811 141 821 142 823 143 827 144 829 145 839 146 853 147
857 148 859 149 863 150 877 151 881 152 883 153 887 154
907 155 911 156 919 157 929 158 937 159 941 160 947 161
953 162 967 163 971 164 977 165 983 166 991 167 997 168
1009 169 1013 170 1019 171 1021 172 1031 173 1033 174 1039 175
1049 176 1051 177 1061 178 1063 179 1069 180 1087 181 1091 182
1093 183 1097 184 1103 185 1109 186 1117 187 1123 188 1129 189
1151 190 1153 191 1163 192 1171 193 1181 194 1187 195 1193 196
1201 197 1213 198 1217 199 1223 200

The first 200,000 prime-numbers you can download here (1.7MB), or the factorization of 2 to 1,000,000 here (20MB).

Mathematical Consideration
All even numbers are divideable by 2 and therefore do not qualify to be a prime-number. The odd number you factorize,

  • e.g. asking if 87 is a prime-numberwe start to divide it with the smallest prime-number, 87 / 2 = 43 + 1, 87 / 3 = 29;this means since it's divideable by 3 without remainder then it's not a prime.
  • let's try with 89, it can be tested alike, with 2, 3, 7, 11, 13, etc and can't be divideable by other prime-numbers and you realize it is prime itself.
  • Needless to say to find large prime-numbers can be immense overhead, and this became for the last years a competition for supercomputers:

    Prime Digits Who When
    26972593-1 2,098,960 Hajratwala, Woltman, Kurowski, GIMPS 1999
    23021377-1 909,526 Clarkson, Woltman, Kurowski, GIMPS 1998
    22976221-1 895,932 Spence, Woltman, GIMPS 1997
    21398269-1 420,921 Armengaud, Woltman, GIMPS 1996
    21257787-1 378,632 Slowinski, Gage 1996
    4859465536+1 307,140 Scott, Gallot 2000
    2859433-1 258,716 Slowinski, Gage 1994
    2756839-1 227,832 Slowinski, Gage 1992
    667071*2667071-1 200,815 Toplic, Gallot 2000
    99923632768+1 196,598 Scott, Gallot 2000
    For updates check The Largest Known Primes

     

    Spiritual Consideration
    I cannot write about this yet, but I feel Prime-Numbers are living beings, not as we imagine them as deceased beings for a form and ideas of being human, but they, as all numbers, are conscious beings; and there is a way to address Prime-Numbers in an affirmation and discover their hidden nature which has not been yet discover or cover by the solely mathematical approach. As soon I find reference material or by my own experience I will include this here on this page.

    Inexplicable Secrets of Creation
    An attempt to document the rapidly emerging connections between physics and prime number theory.
    The Prime Pages
    Site solely about prime-numbers
    Open Directory: Prime Numbers
    Sites on prime-numbers

           
     
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