# Sum of Some Primes

**Number Theory**Level 2

The four values \(x\), \(y\), \(x - y\) and \(x + y\) are all positive prime integers. What is the sum of all the four integers?

**Details and assumptions**

Fact: 1 is not a prime number.

The four values \(x\), \(y\), \(x - y\) and \(x + y\) are all positive prime integers. What is the sum of all the four integers?

**Details and assumptions**

Fact: 1 is not a prime number.

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