I did a BFI approach of primes and a bunch of bell curves.

Discussion in 'Number Theory' started by brazilianmathguy, Nov 3, 2024.

  1. brazilianmathguy

    brazilianmathguy

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    I have approximated Goldbach's Problem (that all even numbers above 2 can be constructed with 2 primes) for a sequence from 4 to 100 using brute force and ignorance. Jokes aside, I used the Sieve of Eratosthenes and wrote down the sums in a Word document attached below. In addition, I decided to plot the prime sums on two planes. The first plots formed an exponential curve. For the second plots, I took the values of the plots and plotted them as isolated points on the Y-axis, connecting them and smoothing the lines, forming bell curves.
    2+2 =4
    3+3 =6
    5+3=8
    5+5=10
    5+7=12
    7+7=14
    13+3=16
    13+5=18
    17+3=20
    19+3=22
    19+5=24
    23+3=26
    25+3=28
    25+5=30
    29+3=32
    29+5=34
    29+7=36
    35+3=38
    37+3=40
    37+5=42
    37+7=44
    43+3=46
    43+5=48
    47+3=50
    49+3=52
    49+5=54
    49+7=56
    53+5=58
    55+5=60
    59+3=62
    59+5=64
    59+7=66
    65+3=68
    65+5=70
    65+7=72
    71+3=74
    73+3=76
    73+5=78
    73+7=80
    79+3=82
    79+5=84
    79+7=86
    83+5=88
    83+7=90
    89+3=92
    91+3=94
    91+5=96
    91+7=98
    97+3=100
     
    brazilianmathguy, Nov 3, 2024
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  2. brazilianmathguy

    brazilianmathguy

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    I hope that you understood what i posted, cuz i'm only a teenager.
     
    brazilianmathguy, Nov 3, 2024
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  3. brazilianmathguy

    Alonzo

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    You have a few non-primes in your sums: 25, 35, 49, 55, 65.

    First fix: 28 = 23 + 5.
     
    Alonzo, Nov 4, 2024
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