A339342 - OEIS

%I #8 Dec 01 2020 00:44:21

%S 2,3,5,7,13,17,19,23,29,37,43,71,79,83,101,107,109,127,137,151,163,

%T 173,193,197,227,229,233,239,241,257,269,271,281,283,293,307,311,313,

%U 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

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

%H Robert Israel, <a href="/A339342/b339342.txt">Table of n, a(n) for n = 1..10000</a>

%H I. I. Pyatetskii-Shapiro, <a href="http://www.mathnet.ru/php/archive.phtml?wshow=paper&amp;jrnid=sm&amp;paperid=5395&amp;option_lang=eng">On the distribution of prime numbers in sequences of the form [f(n)]</a>, Mat. Sb. (N.S.), 33(75):3 (1953).

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

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

%K nonn

%O 1,1

%A _Robert Israel_, Nov 30 2020