A101937 Numbers n with omega(n) > omega of 2 nearest larger and 2 nearest smaller neighbors.

6, 30, 42, 60, 66, 70, 78, 84, 90, 102, 105, 110, 114, 120, 126, 150, 165, 174, 186, 190, 195, 198, 204, 210, 234, 246, 252, 255, 270, 273, 276, 290, 294, 300, 315, 318, 322, 330, 336, 345, 354, 357, 360, 385, 390, 396, 399, 402, 414, 420

Offset: 1

Author

Neil Fernandez, Dec 21 2004

Keywords

• easy
• nonn

Comments

Prime factors counted without multiplicity. - Harvey P. Dale, Dec 17 2014

Examples

			150 is in the sequence because it has three unique prime factors (2,3 and 5), whereas 148, 149, 151 and 152 each have fewer.
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A001221, A076763.

Programs

Mathematica

For[i=2, i<1000, If[And[Length[FactorInteger[i-2]]{a,b,d,e}]; Flatten[Position[ Partition[ PrimeNu[Range[500]],5,1],?(gr3Q[#]&)]]+2 (* _Harvey P. Dale, Dec 17 2014 *)