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 A377372 #31 Jun 10 2025 20:36:54
%S A377372 2,19,41,479,1031,1181,577,2999,10711,29033,24919,49069,60919,169019,
%T A377372 209563,254993,337537
%N A377372 a(n) is the smallest prime p such that the Diophantine equation x^3 + y^3 + z^3 = p^3, where 0 < x <= y <= z has exactly n positive integer solutions.
%e A377372 a(3)=479, because 479^3 = 47^3 + 350^3 + 406^3 = 109^3 + 293^3 + 437^3 = 256^3 + 311^3 + 398^3 and no prime less than 479 has 3 solutions.
%t A377372 a = Table[SelectFirst[Table[{p,Length@Select[PowersRepresentations[p^3, 3, 3], #[[1]] > 0 &]}, {p, Prime@Range@200}], #[[2]] == k &], {k, 0, 6}]
%Y A377372 Cf. A316359, A377444, A384439.
%K A377372 nonn,more
%O A377372 0,1
%A A377372 _Zhining Yang_, Dec 28 2024
%E A377372 a(11) from _Jinyuan Wang_, May 31 2025
%E A377372 a(12) from _Chai Wah Wu_, Jun 03 2025
%E A377372 a(13)-a(15) from _Chai Wah Wu_, Jun 04 2025
%E A377372 a(16) from _Chai Wah Wu_, Jun 10 2025