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Numbers k such that k and k+1 each have at least 5 distinct prime factors.
6

%I #14 Nov 14 2018 13:43:24

%S 254540,310155,378014,421134,432795,483405,486590,486794,488565,

%T 489345,507129,522444,545258,549185,558789,558830,567644,577940,

%U 584154,591260,598689,627095,634809,637329,663585,666995,667029,678755,687939,690234,707420,712425,720005,720290,728364,743589

%N Numbers k such that k and k+1 each have at least 5 distinct prime factors.

%C Equals A140079 up to a(34) but a(35) = 728364 is not in A140079, see A321495.

%H M. F. Hasler, <a href="/A321505/b321505.txt">Table of n, a(n) for n = 1..10000</a>

%t Select[Range[750000], PrimeNu[#] > 4 && PrimeNu[# + 1] > 4 &] (* _Amiram Eldar_, Nov 12 2018 *)

%o (PARI) is(n)=omega(n)>=5&&omega(n+1)>=5

%Y Cf. A140079 (variant with "exactly 5"), A321495 (terms not in A140079).

%Y Cf. A321504 (analog for k=4 prime factors), A321506 (analog for k=6).

%K nonn

%O 1,1

%A _M. F. Hasler_, Nov 12 2018