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 A290400 #13 Oct 21 2022 20:22:48 %S A290400 3,7,13,17,19,23,29,37,53,71,101,149,157,317,347 %N A290400 Primes p such that Diophantine equation x + y + z = p with x*y*z = k^3 (0 < x <= y <= z) has a unique solution. %H A290400 Tianxin Cai and Deyi Chen, <a href="https://doi.org/10.1090/S0025-5718-2013-02685-3">A new variant of the Hilbert-Waring problem</a>, Math. Comp. 82 (2013), 2333-2341. %e A290400 7 is in the sequence since, of the triples whose sum is 7, i.e., (1, 1, 5), (1, 2, 4), (1, 3, 3), and (2, 2, 3), only one (i.e., (1, 2, 4)), yields a cube as its product: 1 * 2 * 4 = 8 = 2^3. %e A290400 31 is not here, since the corresponding equation has two solutions: (1, 5, 25) and (1, 12, 18). %Y A290400 Cf. A000040, A000578, A233386. %K A290400 nonn,more %O A290400 1,1 %A A290400 _XU Pingya_, Jul 29 2017