login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

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_