Abstract
Much interest has been shown in determining the range of values of c for which the sequence [n]c contains infinitely many primes. The result is an elementary deduction from the prime number theorem, of course, of 0<c≤l. In 1953, Piatetski–Shapiro [9] showed thatfor 1<c<12/11, where xc(X) stands for the number of primes in the set {[nc]n≤x}.
Publisher
Cambridge University Press (CUP)
Reference13 articles.
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