An Algorithmic Random Integer Generator based on Prime Numbers Distribution

More than a philosophic thinking, we combine two researchers wishes on randomness reproduction and prime numbers distribution. Indeed, up to now we cannot rigorously answer the question on randomness of primes [6, page 1]. We then propose an example of algorithms that can be deduced by that connection. For this purpose, our main procedure uses prime gap sequence variation. An evaluation on randomness reproduction is made at the end for a conclusion about prime numbers distribution and its implications.