Regarding arithmetic progressions of prime number, please check Ivars Peterson's ``Math Trek'' article, ``Progressive Primes,'' at
and the new article by Ben Green and Terence Tao: ``The primes contain arbitrarily long arithmetic progressions." Peterson's article includes a link to the Green - Tao paper.
Regarding the card game ``SET," consult the article
``The card game SET" by B. L. Davis and Diane Maclagan at