_{1}, p

_{2}, p

_{3}, p

_{4}and p

_{5}are 5 distinct prime numbers, with p

_{1}< p

_{2}<p

_{3}<p

_{4}<p

_{5}, that satisfy this relationship:

pDetermine the minimum value of p_{1}*p_{2}*p_{3}*p_{4}*p_{5}------------------- = p_{x}* p_{y}p_{1}^{2}+p_{2}^{2}+p_{3}^{2}+p_{4}^{2}+p_{5}^{2}where p_{x}and p_{y}are distinct prime numberĪµ(p_{1},p_{2},p_{3},p_{4},p_{5}).

_{x}* p

_{y}.

What is the next smallest value of p

_{x}* p

_{y}?

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