arithmetic progression
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Those are the first four prime numbers.
Just look at the sequence. Fibonacci numbers are a sequence where each number is the sum of the previous two - starting with 1;1. The sequence starts with: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ... (The numbers in bold are prime numbers.)
There is no formula for prime numbers. They form a random sequence.
The sequence of prime numbers starts with 2, 3, 5, 7, 11, 13, 17, 23, 29, 31, ...
Themselves because they are all prime numbers.