Geodesic
Primes of the form [pc] and related questions
Glasgow mathematical journal, Tome 37 (1995) no. 2, pp. 131-141

Voir la notice de l'article provenant de la source Cambridge University Press

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}. 
Harman, Glyn; Rivat, Joël. Primes of the form [pc] and related questions. Glasgow mathematical journal, Tome 37 (1995) no. 2, pp. 131-141. doi: 10.1017/S0017089500031037
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