Möbius Mu function
From Conservapedia
The Möbius mu function denoted μ(n) supported on the natural numbers and has implications in number theory. It has the value,
- μ(1) = 1
- μ(n) = 0 if n has a prime factor of power higher than 1
- μ(n) = − 1 if n is prime or has an odd number of prime factors
- μ(n) = 1 if n has an even number of prime factors
The first 10 values are
| n | factors | μ(n) |
|---|---|---|
| 1 | n/a | 1 |
| 2 | 2 | -1 |
| 3 | 3 | -1 |
| 4 | 22 | 0 |
| 5 | 5 | -1 |
| 6 | 2,3 | 1 |
| 7 | 7 | -1 |
| 8 | 23 | 0 |
| 9 | 32 | 0 |
| 10 | 2,5 | 1 |
