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A347342 a(n) = prime(n) mod floor(prime(n) / n).

%I A347342 #15 Sep 14 2021 04:43:05
%S A347342 0,0,0,0,1,1,1,1,1,1,1,1,2,1,2,2,2,1,1,2,1,1,2,2,1,2,1,2,1,2,3,3,1,3,
%T A347342 1,3,1,3,3,1,3,1,3,1,1,3,3,3,3,1,1,3,1,3,1,3,1,3,1,1,3,1,3,3,1,1,3,1,
%U A347342 2,1,1,3,2,3,4,3,4,2,1,4,4,1,1,3,4,3
%N A347342 a(n) = prime(n) mod floor(prime(n) / n).
%H A347342 Simon Strandgaard, <a href="/A347342/a347342.png">Plot of 1000 terms</a>
%F A347342 a(n) = A000040(n) mod A038605(n).
%e A347342 a(1) =  2 mod floor( 2 / 1) =  2 mod 2 = 0,
%e A347342 a(2) =  3 mod floor( 3 / 2) =  3 mod 1 = 0,
%e A347342 a(3) =  5 mod floor( 5 / 3) =  5 mod 1 = 0,
%e A347342 a(4) =  7 mod floor( 7 / 4) =  7 mod 1 = 0,
%e A347342 a(5) = 11 mod floor(11 / 5) = 11 mod 2 = 1.
%t A347342 A347342[n_] := Mod[Prime[n] , Floor[Prime[n]/n]]; Table[A347342[n], {n, 1, 86}] (* _Robert P. P. McKone_, Aug 27 2021 *)
%o A347342 (PARI) a(n) = prime(n) % (prime(n) \ n);
%o A347342 (Ruby) require 'prime'
%o A347342 values = []
%o A347342 Prime.first(30).each_with_index do |prime,i|
%o A347342     values << prime % (prime/(i+1))
%o A347342 end
%o A347342 p values
%Y A347342 Cf. A000040, A038605.
%K A347342 nonn
%O A347342 1,13
%A A347342 _Simon Strandgaard_, Aug 27 2021