Prime memory systems do not require euclidean division by a prime number

Using a prime number N of memory banks on a vector processor allows a conflict-free access for any slice of N consecutive elements of a vector stored with a stride not multiple of N. To reject the use of such a prime number of memory banks, it is generally advanced that address computation for such a memory system would require systematic Euclidean Division by the prime number N. In this short note, we show that there exists a very simple mapping of data in the memory banks for which address compulations does not require any Euclidean Division