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”).

Numbers k such that k divides (prime(3*k) - prime(2*k)).
1

%I #19 Dec 10 2024 11:58:46

%S 1,2,6,21,25,32,174,400,918,960,971,987,2374,5928,5935,5942,5977,

%T 14838,37259,37282,94154,238309,1556445,4004112,10308825,10308837,

%U 10309843,10309906,26627152,68912912,68913663,68913687,68914102,68915077,68915098,68916054

%N Numbers k such that k divides (prime(3*k) - prime(2*k)).

%H Giovanni Resta, <a href="/A066893/b066893.txt">Table of n, a(n) for n = 1..51</a>

%t Select[Range[10^6], Mod[Prime[3 #] - Prime[2 #], #] == 0 &]

%o (PARI) isok(k) = { (prime(3*k)-prime(2*k)) % k == 0 } \\ _Harry J. Smith_, Apr 05 2010

%Y Cf. A000040, A255174.

%K nonn,changed

%O 1,2

%A _Benoit Cloitre_, Jan 24 2002

%E More terms from _Robert G. Wilson v_, Jan 26 2002

%E a(23) from _Harry J. Smith_, Apr 05 2010

%E a(24)-a(36) from _Giovanni Resta_, Jun 18 2018