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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.