chapter  5
10 Pages

Prime Races, Emirps, and More

WithMalcolm E Lines

If we look at the prime numbers up to 1000 given in Chapter 2, we find that they can be divided into separate groups in more than one way. For example, they can all be obtained by adding fours either to the number 3 or to the number 5. Split up in this way we can form two separate series of prime numbers as follows:

3, 7, 11, 19, 23, 31, 43, 47, 59, 67, 71, 79, 83, …

5, 13, 17, 29, 37, 41, 53, 61, 73, 89, 97, …