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Numbers n such that n through n+3 are divisible by the same number of distinct primes.
12

%I #20 Oct 26 2019 03:08:45

%S 2,33,54,55,74,85,91,92,93,115,116,133,141,142,143,144,145,158,159,

%T 175,200,205,206,212,213,214,215,216,247,295,296,301,302,323,324,325,

%U 326,332,391,392,422,445,451,535,536,542,565,632,685,686,721,722,799,800

%N Numbers n such that n through n+3 are divisible by the same number of distinct primes.

%H Amiram Eldar, <a href="/A045932/b045932.txt">Table of n, a(n) for n = 1..10000</a>

%t Transpose[Select[Partition[Range[900],4,1],Length[Union[PrimeNu[#]]] == 1&]][[1]] (* _Harvey P. Dale_, Apr 12 2013 *)

%Y Cf. A001221, A006049, A006073, A045933-A045938.

%K nonn

%O 1,1

%A _David W. Wilson_