A321496 Numbers k such that k and k+1 have at least 6 but not both exactly 6 distinct prime factors.

58524465, 64822394, 130578734, 133595384, 143489709, 153124685, 155197965, 156532089, 157955720, 159653409, 165706904, 169075829, 170118234, 175458920, 184867605, 188377475, 193042394, 194236679, 195719810, 199150665, 202429590, 208727805, 209801514, 211588454

Offset

1,1

Comments

Complement of A273879 (k and k+1 have exactly 6 distinct prime factors) in A321506 (k and k+1 have at least 6 distinct prime factors).

Links

Table of n, a(n) for n=1..24.

Formula

A321506 \ A273879.

Mathematica

aQ[n_]:=Module[{v={PrimeNu[n], PrimeNu[n+1]}}, Min[v]>5 && v!={6, 6}]; Select[Range[10^9], aQ] (* Amiram Eldar, Nov 12 2018 *)

Prog

(PARI) is(n)=omega(n)>5&&omega(n+1)>5&&(omega(n)>6||omega(n+1)>6)

Crossrefs

Cf. A273879, A321506; A321495 (analog for 5 factors).

Sequence in context: A172679 A034612 A015355 * A320211 A320220 A034644

Adjacent sequences: A321493 A321494 A321495 * A321497 A321498 A321499

Keyword

nonn

Author

M. F. Hasler, Nov 12 2018

Extensions

More terms from Amiram Eldar, Nov 12 2018

Status

approved