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Homework Statement
I am proving something different and need this to be true.
choose prime p > 11. then p^2 is less than the product of all primes that came before it.
Homework Equations
U(n)= {1, a_1, ... a_k} this is the ring of numbers co prime to n.
ex: let p=13. 13^2 = 169<3*5*7*11
The Attempt at a Solution
I am using 11 because it's not generally true for primes less than 11 and I have dealt with those cases in my proof.
is this generally correct? is there a simple proof I should show? or take it as general knowledge.