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!)
A185208 Numbers having no divisors d > 1 such that d + 1 are prime powers. 5

%I #22 Sep 07 2013 14:24:26

%S 1,5,11,13,17,19,23,25,29,37,41,43,47,53,55,59,61,65,67,71,73,79,83,

%T 85,89,95,97,101,103,107,109,113,115,121,125,131,137,139,143,145,149,

%U 151,157,163,167,169,173,179,181,185,187,191,193,197,199,205,209

%N Numbers having no divisors d > 1 such that d + 1 are prime powers.

%C A141197(a(n)) = A049073(a(n)) = 1.

%C Contains all primes except for 2 and Mersenne primes A000668. - _Jon Perry_, Nov 11 2012

%C A composite number is in the sequence iff all its factors are. - _Jon Perry_, Nov 11 2012

%H Reinhard Zumkeller, <a href="/A185208/b185208.txt">Table of n, a(n) for n = 1..10000</a>

%t Select[Range[210], Select[Divisors[#] // Rest, PrimeNu[# + 1] == 1 &] == {} &] (* _Jean-François Alcover_, Aug 17 2013 *)

%o (Haskell)

%o a185208 n = a185208_list !! (n-1)

%o a185208_list = filter ((== 1) . a141197) [1..]

%Y Cf. A000961, A010055, A027750.

%Y Cf. A000668.

%K nonn

%O 1,2

%A _Reinhard Zumkeller_, Nov 01 2012

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 18:05 EDT 2024. Contains 371798 sequences. (Running on oeis4.)