**The results** of arithmetical operations have different visual effects that are independent of prime numbers.

In summary:

**Sums: n + m****Products: n x m****Sums**of**Powers of 10 plus Digits:****n x 10 + m****Sums of Squares in Triangles: n**^{2}+ m^{2}- Pythagoras’ a
^{2}+ b^{2}= c^{2} - c = SQRT (a
^{2}+ b^{2}) or as a new format:

- Pythagoras’ a
**Sums****of Squares****Roots**of**Sums of Squares**as “DIAGONALS”

**Sums**of**Squares plus Roots:****n**^{2}+ m- “MULTI-DIMENSIONAL Sums” [2D + 1D]

*“Digital” *Sums are as new a concept as “*Octogonal” *and *“Multi-Dimensional”* Sums – all thanks to the advent of software as ‘thinking aids’.

And here as ‘viewing aids’:

- “DIAGONAL Sums“:
**n + m**

2. “ORTHOGONAL Products”: **n x m**

3. “DIGITO-DECIMAL” or “DIGITAL” Sums: **n x 10 + m**

4. Pythagoras’ Sums of Squares in Triangles: **n ^{2} + m^{2}**

5. Pythagoras’ Roots of Sums of Squares: **SQRT (n ^{2} + m^{2})**

6. “MULTI-DIMENSIONAL” Sums: **n ^{2} + m**

NEXT: Diagonal Prime Numbers