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Math Help - Finding prime numbers using prime numbers of a lesser value.

  1. #1
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    Finding prime numbers using prime numbers of a lesser value.

    I have been working on this idea for some time and it is sitting on my shelf going nowhere so I want to share it with your brains to see if they can come up with something even if its just more questions. Please take a look and answer these questions if you have an answer.

    Questions:
    Is this method new or is it old hat?
    Is it possible to write a computer program to produce a wave table output such as the one I have here, or will that require constructing a series of oscillator circuits?


    Some limitations I am noticing with this method are that it is inaccurate after reaching x > (the largest prime wave period)2.
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    Last edited by MatthiasChampagne; October 5th 2012 at 07:30 AM.
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  2. #2
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    Re: Finding prime numbers using prime numbers of a lesser value.

    I arranged the code into an easier viewing format:

    Code:
              11112233444       
          235713793917137
    0     000000000000000        This binary table indicates that the row
    1     000000000000000        is prime when the binary number in that
    2     100000000000000        row is a repeat of the number in the row
    3     110000000000000        before it, ignoring the column marked the
    4     010000000000000        same as the row with the prime number, as
    5     011000000000000        the column number indicates  of the len-
    6     101000000000000        gth of the square wave in each respective 
    7     101100000000000        column. Producing this table by hand is
    8     001100000000000        time consuming and painstakingly meticulo-
    9     011100000000000        us work. A faster method would involve a
    10    110100000000000        bank of repeater circuits with on/off int-
    11    110110000000000        ervals of equivalent ratios to the first
    12    000110000000000        output here labeled as 2, and a counter
    13    000111000000000        circuit with a count rate equal to twice
    14    100011000000000        the rate of the fastest repeater.
    15    111011000000000        These circuits would then output into an
    16    011011000000000        analyzer circuit to check parity between
    17    011011100000000        the current input with the previous input   
    18    101011100000000        that was fed into the analyzer circuit.
    19    101011110000000        If parity (physical not mathematical)is
    20    000011110000000        true then the circuit will output the
    21    010111110000000        prime number calculated with this matrix
    22    110101110000000        into a computer for recording purposes.
    23    110101111000000       
    24    000101111000000       
    25    001101111000000       
    26    101100111000000
    27    111100111000000
    28    011000111000000
    29    011000111100000
    30    100000111100000
    31    100000111110000
    32    000000111110000
    33    010010111110000
    34    110010011110000
    35    111110011110000
    36    001110011110000
    37    001110011111000
    38    101110011111000
    39    111111011111000
    40    010111011111000
    41    010111011111100
    42    100011011111100
    43    100011011111110
    44    000001011111110
    45    011001011111110
    46    111001011111110
    47    111001011111111
    48    001001011111111
    49    001101011111111
    50    100101011111111
    51    110101111111111
    52    010100111111111
    53    010100111111111
    54    100100111111111
    55    101110111111111
    56    001010111111111
    57    011010101111111
    58    111010101111111
    59    111010101111111
    60    000010101111111
    61    000010101111111
    62    100010101111111
    63    110110101111111
    64    010110101111111
    65    011111101111111
    66    101101101111111
    67    101101101111111
    68    001101001111111
    69    011101000111111
    70    110001000111111
    71    110001000111111
    72    000001000111111
    73    000001000111111
    74    100001000111111
    75    111001000111111
    76    011001010111111
    77    011111010111111
    78    101110010111111
    79    101110010111111
    80    000110010111111
    81    010110010111111
    82    110110010111111
    83    110110010111111
    84    000010010111111
    85    001010110111111
    86    101010110111111
    87    111010110011111
    88    011000110011111
    89    011000110011111
    90    100000110011111
    91    100101110011111
    92    000101111011111
    93    010101111011111
    94    110101111011111
    95    111101101011111
    96    001101101011111
    97    001101101011111
    98    101001101011111
    99    111011101011111
    100   010011101011111
    101   010011101011111
    102   100011001011111
    103   100011001011111
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