摘要
证明了：假设λ,μ是不全为负的非零实数,λ是无理数,k是正整数,那么存在无穷多素数p,p_1,p_2,使得[λp_1＋μp_2~2]=kp.特别地,[λp_1＋μp_2~2]表示无穷多素数.
The present paper proved that ifλ,μare non-zero real numbers,not both negative,λis irrational,and k is a positive integer,then there exist infinitely many primes p and pairs of primes p_1,p_2 such that[λp_1＋μp_2~2]=kp.In particular[λp_1＋μp_2~2] represents infinitely many primes.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2011年第2期321-328,共8页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金资助项目(11071070)
