# Unpredictable u's

**Number Theory**Level 4

Let \(u_n\) be a sequence, such that \(u_1=2,u_2=3\) and

\(u_{n+2}=u_{n+1}u_{n}-u_{n+1}-u_n+2\)

Find the sum of all distinct primes in this sequence.

Let \(u_n\) be a sequence, such that \(u_1=2,u_2=3\) and

\(u_{n+2}=u_{n+1}u_{n}-u_{n+1}-u_n+2\)

Find the sum of all distinct primes in this sequence.

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