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 A045942 #30 Aug 29 2025 18:03:16 %S A045942 2522,4921,18241,25553,27290,40313,90834,95513,98282,98705,117002, %T A045942 120962,136073,136865,148682,153794,181441,181554,185825,204323, %U A045942 211673,211674,212401,215034,216361,231002,231665,234641,236041,236634,266282,281402,284344,285410 %N A045942 Numbers m such that the factorizations of m..m+5 have the same number of primes (including multiplicities). %H A045942 Donovan Johnson, <a href="/A045942/b045942.txt">Table of n, a(n) for n = 1..10000</a> %t A045942 f[n_]:=Plus@@Last/@FactorInteger[n];lst={};lst={};Do[If[f[n]==f[n+1]==f[n+2]==f[n+3]==f[n+4]==f[n+5],AppendTo[lst,n]],{n,0,10!}];lst (* _Vladimir Joseph Stephan Orlovsky_, May 12 2010 *) %t A045942 SequencePosition[PrimeOmega[Range[300000]],{x_,x_,x_,x_,x_,x_}][[;;,1]] (* _Harvey P. Dale_, Aug 29 2025 *) %Y A045942 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), this sequence (k=5), A123103 (k=6), A123201 (k=7), A358017 (k=8), A358018 (k=9), A358019 (k=10). %K A045942 nonn,changed %O A045942 1,1 %A A045942 _David W. Wilson_