p₁, p₂, p₃, p₄ and p₅ are 5 distinct prime numbers, with p₁< p₂<p₃<p₄<p₅, that satisfy this relationship:

 
 p1*p2*p3*p4*p5
------------------- = px* py 
p12+p22+p32+p42+p52

where px and py are distinct prime numberε(p1,p2,p3,p4,p5).

Determine the minimum value of p_x* p_y.
What is the next smallest value of p_x* p_y?

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Posted by hoadao3493 on 2022-02-18 09:01:25