Prime Numbers Sieve Patterns
Twin, cousin, and sexy primes are of the forms (p,p+2), (p,p+4), (p,p+6) respectively, for p a prime.
A prime triplet is a set of three prime numbers of the form (p, p + 2, p + 6) or (p, p + 4, p + 6).
Many of you have done the Sieve of Eratosthenes with a 10x10 grid, use this grid to learn about prime patterns above.
ID Prime Family Names
Thanks rami for assistance on doing the coloring.
Highly interactive sieves of Eratosthenes are available via mathsbot.com.
For more about prime number patterns above, see Primorial Prime on Wikipedia. The first few primorial primes are 2, 3, 5, 7, 29, 31, 211, 2309, 2311, 30029, 200560490131, 304250263527209, 23768741896345550770650537601358309 (i.e. the product of the first n primes).