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 A122489 #13 Sep 07 2024 08:53:47 %S A122489 2,5,9,13,19,25,33,41,50,59,70,81,92,104,116,130,145,160,176,192,208, %T A122489 226,244,263,284,305,327,350,373,396,420,444,468,492,519,548,578,608, %U A122489 638,668,698,728,759,791,823,857,891,925,959,993,1029,1066,1103,1140 %N A122489 Partial sums of A111939 (= number of primes < semiprime(n)). %C A122489 Perfect powers occur at the following terms: %C A122489 a(3) = 9 = 3^2 %C A122489 a(6) = 25 = 5^2 %C A122489 a(12) = 81 = 3^4 %C A122489 a(74) = 2025 = 45^2 %C A122489 a(2072) = 1062961 = 1031^2 %C A122489 a(43881) = 392713489 = 19817^2 %C A122489 a(134249) = 3497963832 = 1518^3 %C A122489 a(372727) = 25930982961 = 161031^2 %C A122489 a(1196234) = 257007427681 = 506959^2 %C A122489 a(1449506) = 375159925009 = 612503^2 %C A122489 a(5226094) = 4704717169296 = 2169036^2 %C A122489 a(8342271) = 11846166214276 = 3441826^2 %C A122489 a(62507725) = 635490555087844 = 25208938^2 %C A122489 a(91695024) = 1356954402007044 = 36836862^2 %C A122489 No further perfect powers through a(10^8). %H A122489 Amiram Eldar, <a href="/A122489/b122489.txt">Table of n, a(n) for n = 1..10000</a> %t A122489 t=PrimePi@Select[Range@218, Plus @@ Last /@ FactorInteger@# == 2 &]; Table[Sum[t[[i]], {i, n}], {n, Length[t]}] (* _Ray Chandler_, Sep 20 2006 *) %Y A122489 Partial sums of A111939. %K A122489 easy,nonn %O A122489 1,1 %A A122489 _Giovanni Teofilatto_, Sep 16 2006 %E A122489 Edited and corrected by _Ray Chandler_, Sep 20 2006