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### Single Idea 10599

#### [catalogued under 6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers]

Full Idea

For prime numbers we write (x not= 1 ∧ ∀u∀v(u x v = x → (u = 1 ∨ v = 1))). That is, the only way to multiply two numbers and a get a prime is if one of them is 1.

Gist of Idea

For primes we write (x not= 1 ∧ ∀u∀v(u x v = x → (u = 1 ∨ v = 1)))

Source

Peter Smith (Intro to Gödel's Theorems [2007], 04.5)

Book Reference

Smith,Peter: 'An Introduction to Gödel's Theorems' [CUP 2007], p.33