3 ms·
Isn't "every positive integer can be written as a product of primes greater than 1 in one and only one way" incorrect? A prime number is a only product of itse
by SketchySeaBeast 2y ago
Isn't "every positive integer can be written as a product of primes greater than 1 in one and only one way" incorrect? A prime number is a only product of itself * 1, isn't it?
- wesselbindt 2y ago1 is not greater than 1, and a product of one prime is still a product of primes
- SketchySeaBeast 2y agoYeah, I didn't understand you can have a product of a single number.
- jdoliner 2y agoMathematicians generally feel that a single number qualifies as a "product of 1 number." So 7 can be written as just 7 which is still considered a product of prime(s). This is purely a convention thing to make it so theorems can be stated more succinctly, as with not counting 1 as prime.
- SketchySeaBeast 2y agoAh, OK, thank you.