# Union of Prime Numbers & Non-Powers of Integers: Usage & Contexts

• I
• Swamp Thing
In summary, the Union of Prime Numbers & Non-Powers of Integers is a mathematical concept denoted by the symbol ∪, which combines all prime numbers and non-powers of integers, excluding 1. It has various applications in number theory, cryptography, computer science, and data analysis. The union is calculated by combining sets of prime numbers and non-powers of integers. Some examples of usage include determining if a number is prime or non-power of integer, finding common factors, and identifying patterns in data. Real-world applications include cryptography, data analysis, and computer science.

#### Swamp Thing

Is there a name for the union of {prime numbers} and {integers that are not powers of integers}?

For example, we would include 2, 3, 5, 7, 11... And also 6, 10, 12...

But we exclude 2^n, 3^n, ... and 6^n , 10^n , etc.

What are some interesting contexts where this set crops up?

A rather silly question, I now realize : The first set is a subset of the second one anyway. And they are just "not perfect powers".