login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A101938 Numbers n with omega(n) < omega of 2 nearest larger and 2 nearest smaller neighbors. 2

%I #9 May 16 2017 04:30:44

%S 37,53,64,67,89,97,113,121,131,157,163,173,211,223,233,251,263,277,

%T 289,293,307,317,331,337,343,353,367,373,379,383,389,397,401,409,439,

%U 443,449,457,467,479,487,491,499,503,509,512,529,541,547

%N Numbers n with omega(n) < omega of 2 nearest larger and 2 nearest smaller neighbors.

%H G. C. Greubel, <a href="/A101938/b101938.txt">Table of n, a(n) for n = 1..10000</a>

%e 173 is in the sequence because it has one unique prime factor (itself), whereas

%e 171, 172, 174 and 175 each have more.

%t For[i=2, i<1000, If[And[Length[FactorInteger[i-2]]>Length[FactorInteger[i]], Length[FactorInteger[i-1]]>Length[FactorInteger[i]], Length[FactorInteger[i+1]]>Length[FactorInteger[i]], Length[FactorInteger[i+2]]>Length[FactorInteger[i]]], Print[i]];i++ ]

%t Select[Range[6500], PrimeNu[#] < Min[PrimeNu[# - 1], PrimeNu[# - 2], PrimeNu[# + 1], PrimeNu[# + 2]] &] (* _G. C. Greubel_, May 15 2017 *)

%Y Cf. A001221, A101934.

%K easy,nonn

%O 1,1

%A _Neil Fernandez_, Dec 21 2004

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 19 14:10 EDT 2024. Contains 371792 sequences. (Running on oeis4.)