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Proof that primes are not Random
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1
To begin with I have listed the natural numbers 1 to 100
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2
Next to them are their prime factors
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3
Then next column is the Sum the prime factors
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4
Next to that is a column that show the spacing between the summed factors
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5
To the right of this the same is repeated for the multiples of the natural numbers 2 to 13
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Proof
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Notice the spacing of the sum of the prime factors
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The spacing of all the multiples are identical to each other as well as the spacing of all the natural numbers, this would not be possible if primes were random
2,1,1,1,0,2,-1,0,1,4,-4,6,-4,-1,0,9,-9,11,-10,1,3,10,-14........
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Furthermore, if you changed any of the factors by any increment the number sequence they produce, 2 to 100 (and beyond), would be altered.
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n +1 will always give you a new unique n
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Every n has unique prime factor/s
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The product of new combinations of prime numbers, always generates a new unique n
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Plotting n +1 generates a unique order/pattern, the straight line
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To repeat a specific pattern requires the values occur in a fixed order
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The spacing refers to the differance between the sum of the prime factors of two consequtive numbers, stringed together they form a stet that is
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constant for all multiples of natural numbers. This is constant set and the fixed progression throug natural numbers, means the prime factors
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that make up these natural numbers have uniue intergril configuration and are not random at all
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Natural Numbers
Sum of Prime Factors
Spacing
Multiples of 2
Sum of Prime Factors
Spacing
Multiples of 3
Sum of Prime Factors
Spacing
Multiples of 4
Sum of Prime Factors
Spacing
Multiples of 5
Spacing
Multiples of 6
Sum of Prime Factors
Spacing
Multiples of 7
Sum of Prime Factors
Spacing
Multiples of 8
Sum of Prime Factors
Spacing
Multiples of 9
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Prime FactorsPrime FactorsPrime FactorsPrime FactorsPrime FactorsPrime FactorsPrime FactorsPrime FactorsPrime Factors
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12=223=334=2245=556=2357=778=22269=33
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2=2224=22426=23528=2226210=257212=2237214=279216=22228218=233
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3=3316=23519=336112=2237115=358118=2338121=3710124=22239127=333
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4=22418=2226112=2237116=22228120=2259124=22239128=22711132=2222210136=2233
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5=55110=257115=358120=2259125=5510130=23510135=5712140=222511145=335
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6=235012=2237018=2338024=22239030=23510036=223310042=23712048=2222311054=2333
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7=77214=279221=3710228=22711235=5712242=23712249=7714256=222713263=337
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8=2226-116=22228-124=22239-132=2222210-140=222511-148=2222311-156=222713-164=22222212-172=22233
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9=336018=2338027=3339036=223310045=33511054=233311063=33713072=2223312081=3333
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10=257120=2259130=23510140=222511150=25512160=223512170=25714180=2222513190=2335
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11=1111422=21113433=31114444=221115455=51116466=231116477=71118488=2221117499=3311
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12=2237-424=22239-436=223310-448=2222311-460=223512-472=2223312-484=223714-496=22222313-4
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13=1313626=21315639=31316652=221317665=51318678=231318691=713206
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14=279-428=22711-442=23712-456=222713-470=25714-484=223714-498=27716-4
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15=358-130=23510-145=33511-160=223512-175=35513-190=233513-1
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16=22228032=2222210048=2222311064=22222212080=2222513096=222223130
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17=1717934=21719951=31720968=221721985=517229102=2317229
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18=2338-936=223310-954=233311-972=2223312-990=233513-9
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19=19191138=219211157=319221176=2219231195=5192411
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20=2259-1040=222511-1060=223512-1080=2222513-10100=225514-10
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21=3710142=23712163=33713184=2237141
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22=21113344=221115366=231116388=22211173
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23=23231046=223251069=323261092=22232710
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24=22239-1448=2222311-1472=2223312-1496=22222313-14
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25=5510150=25512175=355131100=2255141
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26=21315552=221317578=2313185
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27=3339-654=233311-681=333312-6
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28=22711256=222713284=2237142
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29=29291858=229311887=3293218
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30=23510-1960=223512-1990=233513-19
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31=31312162=231332193=3313421
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32=2222210-2164=22222212-2196=22222313-21
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33=31114466=231116499=3311174
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34=21719568=2217215102=2317225
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35=5712-770=25714-7
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36=223310-272=2223312-2
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37=37372774=2373927
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38=21921-1676=221923-16
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39=31316-578=231318-5
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40=222511-580=2222513-5
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41=41413082=2414330
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42=23712-2984=223714-29
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43=43433186=2434531
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44=221115-2888=2221117-28
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45=33511-490=233513-4
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46=223251492=22232714
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47=47472294=2474922
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48=2222311-3696=22222313-36
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49=7714398=277163
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50=25512-2100=225514-2
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51=317208
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52=221317-3
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53=535336
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54=233311-42
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55=511165
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56=222713-3
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57=319229
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58=229319
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59=595928
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60=223512-47
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61=616149
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62=23133-28
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63=33713-20
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64=22222212-1
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65=513186
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66=231116-2
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67=676751
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68=221721-46
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69=223254
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70=25714-11
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71=717157
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72=2223312-59
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73=737361
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74=23739-34
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75=35513-26
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76=22192310