Question

the set of all integers greater than 1is partially ordered if a<=b means that b is divisible by a. Why every prime number of this poset is minimal as b<=a implies b=a?

Answer 1

@experimentX any clue?

Answer 2

if p is a prime and \(p\leq a\) this means p is divisible by a
but since p is a prime and a is not one , that means \(p=a\)

Answer 3

@satellite73 sorry I can't read your message as it says "Maths Processing Error" :|

Answer 4

a<=b means that b is divisible by a ??

Answer 5

yes

Answer 6

dang try refreshing

Answer 7

in enlish what i wrote is that the order is given by a <= b means b is divisible by a.
so for example 5<= 15
if p is a prime and p <= a this means p is divisible by a
but since a is not one, that means a must be p, so the only case for p <= a is if p = a