3. Digital Tables for SEMIPrimes

The Digital Tables for Primes consist of:-

spaces for Primes with Last Digit 1 3 7 9
spaces for SemiPrimes ending with 1 3 7 9
gaps in diagonally staggered positions – in a pattern that repeats every 30 numbers.

While the sequence of Primes as Sums does not seem to reveal any pattern, SemiPrimes as Products of primes as co-factors reveal the consistency and uniqueness that is expected by the fundamental theorem of arithmetic.

Just Prime Numbers as Leading Digits x 10 + Last Digit

Factor 7

Factor 11

Factor 13

Factors 7, 11, 13 and more

Just SemiPrimes as Prime1 x Prime2 filling the empty spaces that Primes leave.
How ‘neat’ is that?

Here’s the Matrix of Vertical Primes x Horizontal Primes:

Vertical Primes x Horizontal Primes = Matrix of SemiPrimes

Collection 9 on The Factorisation of SemiPrimes shows this gallery:

From Matrix to its Half [Triangle], its ‘tightened’ version without Non-Primes and a long NON-sorted list of triplets (SemiPrime with its factors), before a SORTED list can be presented in all its Last Digit colours – waiting for another pattern to be discovered???

NEXT: SemiPrimes = Products of Primes