A339342 Primes of the form floor(k^(12/11)).

2, 3, 5, 7, 13, 17, 19, 23, 29, 37, 43, 71, 79, 83, 101, 107, 109, 127, 137, 151, 163, 173, 193, 197, 227, 229, 233, 239, 241, 257, 269, 271, 281, 283, 293, 307, 311, 313, 337, 353, 359, 373, 389, 409, 431, 443, 449, 461, 463, 467, 487, 491, 503, 509, 547, 557, 577, 599, 601, 607, 631, 653, 659, 661

Offset

1,1

Links

Robert Israel, Table of n, a(n) for n = 1..10000

I. I. Pyatetskii-Shapiro, On the distribution of prime numbers in sequences of the form [f(n)], Mat. Sb. (N.S.), 33(75):3 (1953).

Example

a(6)=17 is in the sequence because 17 = floor(14^(12/11)) is prime.

Maple

select(isprime, [seq(floor(k^(12/11)), k=1..1000)]);

Crossrefs

Sequence in context: A049557 A042991 A162338 * A052015 A042992 A344621

Adjacent sequences: A339339 A339340 A339341 * A339343 A339344 A339345

Keyword

nonn

Author

Robert Israel, Nov 30 2020

Status

approved