A079416 - OEIS

%I #16 Sep 08 2022 08:45:08

%S 2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,3,4,4,4,4,4,4,4,4,4,4,4,4,4,

%T 4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,

%U 5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5

%N a(n) = round(prime(n)/n).

%C The sequence is not monotone, see example and A079417.

%H G. C. Greubel, <a href="/A079416/b079416.txt">Table of n, a(n) for n = 1..10000</a>

%e a(20) = round(prime(20)/20) = round(71/20) = round(3.55) = 4;

%e a(21) = round(prime(21)/21) = round(73/21) = round(3.476190...) = 3;

%e a(22) = round(prime(22)/22) = round(79/22) = round(3.590909...) = 4.

%t f[n_] := Round[ Prime[n]/n]; Array[f, 105] (* _Robert G. Wilson v_, Oct 23 2015 *)

%o (PARI) vector(100, n, round(prime(n)/n)) \\ _G. C. Greubel_, Jan 18 2019

%o (Magma) [Round(NthPrime(n)/n): n in [1..100]]; // _G. C. Greubel_, Jan 18 2019

%o (Sage) [round(nth_prime(n)/n) for n in (1..100)] # _G. C. Greubel_, Jan 18 2019

%Y Cf. A079418, A000040, A038605, A107609, A263076.

%K nonn

%O 1,1

%A _Reinhard Zumkeller_, Jan 07 2003