login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Primes of the form floor(k^(12/11)).
1

%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