摘要
Let E（X）=[{N≤X;N≠p<sub>1</sub><sup>2</sup>+p<sub>2</sub><sup>3</sup>+p<sub>3</sub><sup>4</sup>+p<sub>4</sub><sup>5</sup> for any primes p<sub>i</sub>}|.It is proved in this paper that there exists a positive constant δ】0 such that E（X）《<sub>δ</sub>X<sup>1-δ</sup> which improves a result of prachar.
Let E（X）=[{N≤X;N≠p<sub>1</sub><sup>2</sup>+p<sub>2</sub><sup>3</sup>+p<sub>3</sub><sup>4</sup>+p<sub>4</sub><sup>5</sup> for any primes p<sub>i</sub>}|.It is proved in this paper that there exists a positive constant δ>0 such that E（X）《<sub>δ</sub>X<sup>1-δ</sup> which improves a result of prachar.
