This post serves to better illustrate the potential use of the number system I’ve proposed, using relatively small numbers. The following three tables illustrate the successive removal of candidate primes within successive primorials, listing what candidates are removed by each round of sieving up to 11, and then also listing the remaining candidate primes for the first few primorials, 2#, 3#, 5# and 7#.
I will continue to look for patterns within these numbers.
Table 1. Candidate primes removed within the first few primorials, in primorial place value number system notation
Table 2. Candidate primes removed by, and remaining after, sieving to 7 within 2#, 3#, 5# and 7#
Table 3. Candidate primes removed within 11# after sieving by 11