Classification proposal based on multiples of 6
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How to factor a number?

  • Is it divisible by 2?
    • Yes => It is even
      • And by 6?
        • Yes => It is Hexable
        • No
    • No
  • Is it divisible by 3?
    • Yes => It is odd and not in 6x±1
    • No
  • Does it have a square root?
    • Yes => It is Pp2x
      • It can be either Ppb2x or Ppa2x
    • No
  • Is it equal to 6x²-1?
    • Yes => It is the product of possible twin primes
      • It is the last Np before another Pp²
    • No
  • Does it belong to 6x - 1?
    • Yes => It is Ppa
      • Is it divisible by another Ppb?
        • Yes => It is Npa
        • No => It is prime
    • No
  • Does it belong to 6x + 1?
    • Yes => It is Ppb
      • Is it divisible by another Ppb?
        • Yes => It is Npb = Ppb · Ppb
        • No
      • Is it divisible by Ppa?
        • Yes => It is Npb = Ppa · Ppa
        • No => It is prime