Sunday, June 06, 2004
Further thoughts
Two thoughts:
a.) Factoring isn't the inverse of multiplication, it's the inverse of addition.
b.) While "unit" addition with any number other than 1 cannot produce a series which contains primes, addition using _offsets_ will. Example -- unit addition with 2 + 2(Z) (2, 4, 6, 8...) as opposed to unit addition of 2 with an offset of +1, i.e. 2 + 3(Z) (2, 5, 8, 11, 14, 17...). Not all offset series will contain primes.
a.) Factoring isn't the inverse of multiplication, it's the inverse of addition.
b.) While "unit" addition with any number other than 1 cannot produce a series which contains primes, addition using _offsets_ will. Example -- unit addition with 2 + 2(Z) (2, 4, 6, 8...) as opposed to unit addition of 2 with an offset of +1, i.e. 2 + 3(Z) (2, 5, 8, 11, 14, 17...). Not all offset series will contain primes.
