• Collatz_problem [comrade/them]
    ·
    8 months ago

    If we add it as natural number, half of number theory, starting from fundamental theorem of arithmetics, would have to replace "all natural numbers" with "all natural numbers, except zero".

    • pooberbee (they/she)@lemmy.ml
      ·
      8 months ago

      Prime factorization starts at 2, I'm not sure what you mean. Anyway, if you wanted to exclude 0 you could say "positive integers", it's not that hard.

      • Collatz_problem [comrade/them]
        ·
        8 months ago

        1 also has a unique 'empty' prime factorization, while zero has none.
        You can also say "nonnegative integers", if you want to include zero.