This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A060303 #17 Sep 06 2024 08:06:41
%S A060303 0,0,2,2,6,7,13,14,14,15,25,26,39,40,42,42,58,60,80,82,83,84,108,111,
%T A060303 111,112,114,115,144,146,179,180,182,183,185,186,225,228,228,229,270,
%U A060303 272,319,321,324,325,376,378,378,383,387,387,439,443,446,451,455,454
%N A060303 Number of primes below n^2 does not exceed n times the number of primes below n.
%H A060303 Amiram Eldar, <a href="/A060303/b060303.txt">Table of n, a(n) for n = 1..10000</a>
%H A060303 Sanford L. Segal, <a href="https://doi.org/10.1090/S0002-9947-1962-0139586-4">On Pi(x+y)<=Pi(x)+Pi(y)</a>, Transactions American Mathematical Society, Vol. 104, No. 3 (1962), pp. 523-527.
%F A060303 Table[n*PrimePi[n]-PrimePi[n^2], {n, 1, 100}]
%e A060303 pi(100) = 25, 10*pi(10) = 40, a(10) = 40-25 = 15.
%Y A060303 Cf. A000720, A060199, A060208.
%K A060303 nonn
%O A060303 1,3
%A A060303 _Labos Elemer_, Mar 26 2001
%E A060303 Offset corrected by _Amiram Eldar_, Sep 06 2024