PRIMES IN THE FORM [αp + β]
نویسنده
چکیده
Recently Jia [4] solved a conjecture of Long and showed that for any irrational number α > 0, there exist infinitely many primes not in the form 2n + 2[αn] + 1, where [x] denotes the largest integer not exceeding x. Subsequently, in [2] Banks and Shparlinski investigated the primes in the sequence {[αn + β] : n ≥ 1}. Motivated by the binary Goldbach conjecture and the twin primes conjecture, we have the following conjecture:
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تاریخ انتشار 2008