Each of these numbers larger than 3 is congruent to either 1 or 5, modulo 6.
According to the Green-Tao Theorem, the sequence of these numbers contains arbitrarily long arithmetic sequences. Each of these numbers larger than 3 is congruent to either 1 or 5, modulo 6. Whether even numbers larger than 2 can be written as a (*) sum of two of these is the subject of Goldbach's Conjecture. The Sieve of Erathosthenes [air-uh-TOSS-thuh-neez] can find, for 10 points, what kind of number whose only divisors are itself and 1?
According to the Green-Tao Theorem, the sequence of these numbers contains arbitrarily long arithmetic sequences.
prime numbers