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proposed

Numbers nk such that nk and nk+1 have at least 5 but not both exactly 5 distinct prime factors.

Complement of A140079 (nk and nk+1 have exactly 5 distinct prime factors) in A321505 (nk and nk+1 have at least 5 distinct prime factors).

proposed

editing

editing

proposed

allocated for M. F. Hasler

Numbers n such that n and n+1 have at least 5 but not both exactly 5 distinct prime factors.

728364, 1565564, 1774409, 1817529, 1923635, 2162094, 2187185, 2199834, 2225894, 2369850, 2557190, 2594514, 2659734, 2671305, 2794154, 2944689, 2964884, 3126045, 3139730, 3170244, 3244955, 3273809, 3279639, 3382379, 3387054, 3506810, 3555110, 3585945, 3686969, 3711630

1,1

Complement of A140079 (n and n+1 have exactly 5 distinct prime factors) in A321505 (n and n+1 have at least 5 distinct prime factors).

A321505 \ A140079.

aQ[n_]:=Module[{v={PrimeNu[n], PrimeNu[n+1]}}, Min[v]>4 && v!={5, 5}]; Select[Range[120000], aQ] (* Amiram Eldar, Nov 12 2018 *)

(PARI) is(n)=vecmin(n=[omega(n), omega(n+1)])>4&&n!=[5, 5]

Cf. A140079, A321505; A321494, A321496 (analog for 4 & 6 factors).

allocated

nonn,changed

M. F. Hasler, Nov 12 2018

approved

editing

allocated for M. F. Hasler

allocated

approved