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 A345296 #20 Dec 09 2024 01:57:39 %S A345296 0,1,70911040973874056146188543,77332999599545910254098143, %T A345296 139857575920160383360253101 %N A345296 Integers whose sum of digits in base b is the same for every prime b up to 17. %C A345296 This is a subset of A335839 for bases 2,3,5,11,13, which is a subset of A212222 for bases 2, 3, 5, 7, 11, which is a subset of A135127 for bases 2, 3, 5, 7, which is a subset of A135121 for bases 2, 3, 5, which is a subset of A037301 for bases 2, 3. The third term also occurs in A212223. %C A345296 Based on a computer search, the next term is believed to be larger than 2.1e28. - _Thomas König_, Dec 08 2024 %e A345296 77332999599545910254098143 = 11111111110111111001100100111011111011111110101111110010001010111101111101011011011111_2 = %e A345296 1022220111022022121010102021222111100222120112011112120_3 = 10124120314223101043140143200022120033_5 = 3300561310042202241132326120022_7 = 7940063801000011830000282_11 = 1B101304100834600A304201_13 = 120802053643008116067_17. In these bases, the sum of digits is 63, so 77332999599545910254098143 is a term. %Y A345296 Cf. A212223, A212222, A135127, A135121, A037301, A335839. %K A345296 nonn,base,hard,more,less %O A345296 1,3 %A A345296 _Thomas König_, Jun 13 2021 %E A345296 a(5) from _Thomas König_, Dec 08 2024