A Prime Pattern is a pattern that has been simplified down to three parts, what could be called a Trivium.
In software development, the process of simplification is call Refactoring . When you refactor code, you having the code do the same tasks, but simplifying how it does them. In this process, the code becomes more "elegant".
There is a similar process possible with complex ideas. If the ideas remain their complex form, it is very difficult to share them with others. As a result, their impact, within a larger community, is limited. But if those concepts can be distilled down to a simple form - a pattern - they can be more easily shared.
A great example is the Theory of Relativity an immensely complex concept. By Einstein's "refactoring" this concept to \(E=mc^2\) his concept became well known to an audience far beyond is professional community.
A Trivium can be called the simplest and most elegant pattern, what we could call a prime pattern. A prime pattern, as a "three-legged stool", is dynamically balanced and becomes a powerful container of meaning.
Core Values can be Prime Patterns