MT 007.02 / SL 266.01
Ideas in Mathematics: The Grammar of Numbers

You might find it helpful in doing this assignment to refer to the table of primes available at http://fmwww.bc.edu/MT/Gross/MT007/MT007Primes.html.

1. How many pairs of primes up to 300 differ by 2?
2. How many pairs of primes up to 300 differ by 4?
3. How many pairs of primes up to 300 differ by 6?
4. How many pairs of primes up to 300 differ by 8?
5. How many pairs of primes up to 300 differ by 10?
6. How many pairs of primes up to 300 differ by 12?
7. Make some observations about your data.