Thursday, June 6, 2024

The Number 7

Now that we are aware of the prime number table, one can see the importance of the first few prime numbers provided by 2 and 3. The table is simpler if 5 is assigned as the first prime number in the table (P1) to facilitate the process. This means, 7 can be the second prime in the table or P2 to further increase the table and the possibility to find primes at random. The random selection can only be used if prime limits are accepted and used. The first prime limit is introduced is 25. 25 is the square of the first prime number and the introduction of 5 as the deciding divisor for determining primes. When reaching 49, or 7 squared, a new limit is set. Basically, the same primes are used to test numbers and locate more primes. After 49, 5 and 7 are the determining divisors for primality. The spreadsheet will illustrate the primes and composites between 53 and 120, determined by dividing by 5 or 7. We can ignore any number that ends if 5, but it's important to justify the role 5 has on the spreadsheet. 

If 6x±1 = P, and P is between 53 and 120, then divide by 5 and 7, therefore if P ≠ 6x+1/ P1, P2 then the number is prime.

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