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!)
A190104 Let sopfr(k) = A001414(k) denote the sum of the prime factors of k with multiplicity. This sequence lists the numbers k such that if sopfr(k) = m and sopfr(m) = r, then k == r (mod m) with 0 < r < m. 0

%I #15 Aug 20 2023 16:56:04

%S 24,57,135,168,200,222,512,575,585,713,760,781,825,854,1161,1360,1475,

%T 1484,1485,1504,1780,1872,1960,2415,2444,2535,2784,3087,3096,3168,

%U 3216,3250,3360,3404,3531,3596,3844,3850,4235,4240,4410,4437,4512,4514,4810

%N Let sopfr(k) = A001414(k) denote the sum of the prime factors of k with multiplicity. This sequence lists the numbers k such that if sopfr(k) = m and sopfr(m) = r, then k == r (mod m) with 0 < r < m.

%C Trivial solutions with sopfr(k) = k and thus r = 0 are excluded.

%e For k = 200, sopfr(200) = 2+2+2+5+5 = 16; 200 == 8 (mod 16); and sopfr(16) = 2+2+2+2 = 8 = r.

%Y Cf. A001414.

%K nonn

%O 1,1

%A _J. M. Bergot_, May 04 2011

%E Extended by _Ray Chandler_, May 11 2011

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 18 04:56 EDT 2024. Contains 371767 sequences. (Running on oeis4.)