Recurrence Relation
Another prime generator is defined by the recurrence relation
where gcd(x, y) denotes the greatest common divisor of x and y. The sequence of differences an + 1 − an starts with 1, 1, 1, 5, 3, 1, 1, 1, 1, 11, 3, 1, 1 (sequence A132199 in OEIS). Rowland (2008) proved that this sequence contains only ones and prime numbers.
Read more about this topic: Formula For Primes
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