The Visual Language
of PrimeSense

Four colors. Infinite numbers. One system.

PrimeSense uses a visual language built on four colors. Every number you will ever see in the system — on the cards, in the app, on the mats — is written in this language. Learn the four colors and you can read any number.

Part 1 — The Four Base Colors

These four colors are the alphabet of the system. Each one represents a prime number. That never changes.

2
Blue
3
Red
5
Yellow
7
Green

Part 2 — Composite Numbers

Every other number is built from the base four. Composite numbers show the symbols of their prime factors together. Count the symbols, name their colors, and you have read the number.

Example: 6 = 2 x 3

6
one blue + one red
=
2
blue = 2
x
3
red = 3

Example: 12 = 2 x 2 x 3

12
two blues + one red
=
2
blue
x
2
blue
x
3
red

Example: 30 = 2 x 3 x 5

30
blue + red + yellow
=
2
blue
x
3
red
x
5
yellow

Part 3 — Extended Primes

Every prime number beyond 7 sits either one step below or one step above a multiple of 6. Always. PrimeSense uses this to extend the system infinitely — without adding new colors.

Yellow symbol
6k − 1 primes

One step below a multiple of 6. Examples: 11, 17, 23, 29, 41, 47.

Green symbol
6k + 1 primes

One step above a multiple of 6. Examples: 13, 19, 31, 37, 43.

The diamond markers

To show which prime a symbol represents, it carries diamond markers. The diamonds use the same color language you already know. A blue diamond means 2. Two blue diamonds means 4. Three blue diamonds means 8. No new rules.

Example: 11

11
yellow + 1 blue diamond

Yellow = 6k−1  ·  One blue diamond = k of 2  ·  6(2)−1 = 11

Example: 13

13
green + 1 blue diamond

Green = 6k+1  ·  One blue diamond = k of 2  ·  6(2)+1 = 13

Example: 47

47
yellow + 3 blue diamonds

Yellow = 6k−1  ·  Three blue diamonds = k of 8  ·  6(8)−1 = 47

1
the wild

The 1 Symbol

1 is neither prime nor composite. It stands outside the color system entirely. In the games it plays as a wild. In the broader system it is the identity — the number that multiplies without changing anything.

The whole system in four lines

Blue is 2. Red is 3. Yellow is 5. Green is 7.

Composite numbers show their prime factors as combined symbols.

Extended primes beyond 7 use yellow (6k−1) or green (6k+1) with colored diamond markers.

No new colors. No new rules. The same language, extended infinitely.

Learn more at intellivance.com  ·  Questions? dariel@intellivance.com