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!)
A110606 Numbers n whose base 8 representations, interpreted as base 10 integers, are semiprimes. 6

%I #8 Oct 12 2019 12:00:04

%S 4,6,8,12,13,17,18,21,22,27,28,29,38,41,45,47,50,53,60,63,70,73,77,81,

%T 82,83,91,92,97,98,99,101,102,109,113,118,127,129,130,131,133,134,139,

%U 140,141,143,145,150,157,159,167,171,172,178,181,183,188,193,194,195

%N Numbers n whose base 8 representations, interpreted as base 10 integers, are semiprimes.

%C A108873 is the equivalent using base 3. A110602 is the equivalent using base 4. A110603 is the equivalent using base 5. A110604 is the equivalent using base 6. A110605 is the equivalent using base 7. A110607 is the equivalent using base 9.

%e a(1) = 4 because 4 (base 8) = 4 (base 10) = 2 * 2, a semiprime (A001358).

%e a(2) = 6 because 6 (base 8) = 6 (base 10) = 2 * 3.

%e a(3) = 8 because 8 (base 8) = 10 and 10 (base 10) = 2 * 5.

%e a(4) = 12 because 12 (base 8) = 14 and 14 (base 10) = 2 * 7.

%e a(5) = 13 because 13 (base 8) = 15 and 15 (base 10) = 3 * 5.

%t Select[Range[195], Plus @@ Last /@ FactorInteger[FromDigits[IntegerDigits[ #, 8]]] == 2 &] (* _Ray Chandler_, Aug 05 2005 *)

%Y Cf. A001358, A007094, A108873, A110602, A110603, A110604, A110605, A110607.

%K base,easy,nonn

%O 1,1

%A _Jonathan Vos Post_, Jul 30 2005

%E Extended by _Ray Chandler_, Aug 05 2005

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 24 06:14 EDT 2024. Contains 371918 sequences. (Running on oeis4.)