Chen also proved the following generalization: For any even
integer h, there exist infinitely many primes
p such that
p +
h is either a prime or a
semiprime.
Ben Green and
Terence Tao showed that the Chen primes contain infinitely many
arithmetic progressions of length 3. Binbin Zhou generalized this result by showing that the Chen primes contain arbitrarily long arithmetic progressions. ==References==