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 A375160 #37 Aug 11 2024 14:18:34 %S A375160 4,8,9,16,27,33,32,135,170,-1,64,944,1274,603,-1,128,5264,15470,4023, %T A375160 602,-1,256,29888,33614,57967,12122,2522,-1,512,50624,3145310,8706123, %U A375160 632148,204323,211673,-1 %N A375160 Square array T(n, k), n >= 2 and k >= 1, read by antidiagonals in ascending order, give the smallest number that starts a sequence of exactly k consecutive numbers each having exactly n prime factors (counted with multiplicity), or -1 if no such number exists. %C A375160 All positive terms are composite. %e A375160 T(2,3) = 33 = 3*11, because both 34 and 35 have the same number of prime factors. Thus, 33 is the starting number of a run of 3 numbers that each have 2 prime factors (counted with multiplicity). No lesser number has this property, so T(2,3) = 33. %e A375160 Table begins (upper left corner = T(2,1)): %e A375160 4 9 33 -1 ... %e A375160 8 27 170 603 ... %e A375160 16 135 1274 4023 ... %e A375160 32 944 15470 57967 ... %e A375160 ... ... ... ... ... %Y A375160 Cf. A002808, A062502. %Y A375160 Cf. Numbers m through m+k have the same number of prime divisors (with multiplicity): A045920 (k=1), A045939 (k=2), A045940 (k=3), A045941 (k=4), A045942 (k=5), A123103 (k=6), A123201 (k=7), A358017 (k=8), A358018 (k=9), A358019 (k=10). %K A375160 sign,tabl,more %O A375160 2,1 %A A375160 _Jean-Marc Rebert_, Aug 09 2024