摘要
Graves and Murty proved that for any integer a >= 2 and any fixed integer k >= 2, there are >> log x/log log x primes p <= x such that a(p-1) not equivalent to 1 (mod p(2)) and p equivalent to 1 (mod k), under the assumption of the abc conjecture. In this paper, for any fixed M, the bound log x/log log x is improved to (log x/log log x)(log log log x)(M).
- 出版日期2017-5
- 单位南京师范大学