Do They Satisfy? (Part 1)

For the next few problems of this series, you will be given a property \(P\) and a bunch of (usually \(8\)) numbers or expressions. Your answer will be an \(n\)-digit number, where \(n < 10\) is the number of numbers or expressions given. For the \(k\)-th number or expression, if it satisfies property \(P\), then on the \(k\)-th digit of your answer, enter \(k\). If not, enter \(0\) as the \(k\)-th digit. For example, if \(P\) : even, and there are \(3\) numbers, \(4, 7, 3182\). Then, enter your answer as \(103\).

\(P\) : primes

1. \(2\)

2. \(65537\)

3. \(2999999\)

4. \(4999999\)

5. \(98320414332827\)

6. \(2^{35} - 1\)

7. \(34567875111\)

8. \(12345678987654321\)

You can try Part 2 and Part 3.