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 A124729 #18 Jul 10 2025 19:39:19
%S A124729 57967,491875,543303,584647,632148,632149,715374,824523,878875,914823,
%T A124729 930123,931623,955448,964143,995874,1021110,1053351,1070223,1076535,
%U A124729 1099374,1251963,1289223,1337355,1380246,1380247,1436694,1507623,1517282,1539873,1669380,1895222
%N A124729 Numbers k such that k, k+1, k+2 and k+3 are products of 5 primes.
%C A124729 Subset of A045940 Numbers m such that factorizations of m through m+3 have same number of primes (including multiplicities).
%C A124729 There are no numbers k such that k, k+1, k+2 and k+3 are products of exactly 6 primes(?).
%C A124729 First counterexample: 8706123. - _Charles R Greathouse IV_, Jan 31 2017
%H A124729 D. W. Wilson, <a href="/A124729/b124729.txt">Table of n, a(n) for n = 1..10000</a>
%e A124729 57967=7^3*13^2, 57968=2^4*3623, 57969=3^3*19*113, 57970=2*5*11*17*31 (all product of 5 primes, including multiplicities).
%e A124729 632148 is the first number such that n through n+4 are 5-almost primes.
%t A124729 SequencePosition[Table[If[PrimeOmega[n]==5,1,0],{n,19*10^5}],{1,1,1,1}][[All,1]] (* Requires Mathematica version 10 or later *) (* _Harvey P. Dale_, Apr 03 2019 *)
%o A124729 (PARI) isok(n) = (bigomega(n) == 5) && (bigomega(n+1) == 5) && (bigomega(n+2) == 5) && (bigomega(n+3) == 5); \\ _Michel Marcus_, Oct 11 2013
%Y A124729 Cf. A045940.
%Y A124729 Cf. A124057, A124728 Numbers n such that n, n+1, n+2 and n+3 are products of exactly 3,4 primes.
%K A124729 nonn
%O A124729 1,1
%A A124729 _Zak Seidov_, Nov 05 2006
%E A124729 More terms from _Michel Marcus_, Oct 11 2013