@Article{LanguascoPintzZaccagnini2007,
  Author    = "A. Languasco and J. Pintz and A. Zaccagnini",
  Title     = "On the sum of two primes and $k$ powers of two",
  Journal   = "Bull. London Math. Soc.",
  Volume    = 39,
  Pages     = "771--780",
  Year      = 2007,
  Abstract  = "We prove that, for any fixed positive integer $k$, a
               suitable asymptotic formula for the number of
               representations of an even integer $N \in [1, X]$ as
               the sum of two primes and $k$ powers of $2$ holds with
               at most $O_k(X^{3/5} (\log X)^{10})$ exceptions."
}