**I call** **n ^{2} + m** a “multi-dimensional” sum, because:-

**n x n =****n**^{2}*calculates*the size of a square 2D area- and
**m***quantifies*the length of a 1D line.

In fact, these kinds of sums could be called “3D”, since **m **could ‘go vertical’ to ‘add’ to **n ^{2}**

*geometrically!*

Adding a 1D value to a 2D value, is like adding sticks to squares. We can only *count* them as *objects. *By *calculating arithmetically* we mix dimensional qualities to achieve one numerical *value*.

But conventional wisdom allows for this ‘dimensional mix’ with the definition of

these *arithmetical *units: 1^{3} = 1^{2} = 1^{1} = 1^{0} = 1^{1/2} = SQRT (1)

The fact that n^{2} + m leads to “Diagonals of Primes” was as unsuspected as all my other discoveries. Maybe PhD texts will be written about “multi-dimensional sums and their relevance to prime numbers?” Meanwhile here’s what excited me: a “Diagonal of Prime Numbers” that I ‘mirrored’ such that it forms a “Prime Diamond”. The store has both picture and workbook available for you to experiment with.

This diagonal is the longest I found. Its Primes end only with Last Digits 1, 3 and 7:

NEXT: “DIAGONAL Prime Numbers”