- Let \(p_1 ,p_2 ,p_3\) be primes with \(p_2≠ p_3\)such that 4+\(p_1p_2\)and 4+\(p_1p_3\) are perfect squares. Find all possible values of \(p_1 ,p_2 ,p_3\)

**IF THE ANSWER IS LESS THAN 5 TYPE 1 IF IT IS MORE THAN 5, TYPE 2**
**IF IT IS MORE THAN 10 TYPE 3 OR ELSE TYPE 4**

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