This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A134618 Numbers such that the sum of cubes of their prime factors (taken with multiplicity) is a prime. 9
 12, 28, 40, 45, 48, 52, 54, 56, 63, 75, 80, 96, 104, 108, 117, 136, 152, 153, 165, 175, 210, 224, 232, 245, 250, 261, 268, 300, 320, 325, 333, 344, 350, 363, 384, 387, 390, 399, 405, 416, 432, 462, 464, 468, 475, 477, 504, 507, 531, 536, 539, 561, 570, 584 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Harvey P. Dale and Hieronymus Fischer, Table of n, a(n) for n = 1..10000 (first 1000 terms from Harvey P. Dale) EXAMPLE a(2)=28, since 28=2*2*7 and 2^3+2^3+7^3=359 which is prime. MATHEMATICA Select[Range[600], PrimeQ[Total[Flatten[Table[#[[1]], {#[[2]]}]&/@ FactorInteger[#]]^3]]&] (* Harvey P. Dale, Feb 01 2013 *) CROSSREFS Cf. A001597, A025475, A134333, A134344, A134376. Cf. A134600, A134602, A134605, A134608, A134612, A134616, A134620. Sequence in context: A087252 A141274 A224613 * A108405 A184838 A044073 Adjacent sequences:  A134615 A134616 A134617 * A134619 A134620 A134621 KEYWORD nonn AUTHOR Hieronymus Fischer, Nov 11 2007 EXTENSIONS Example clarified by Harvey P. Dale, Feb 01 2013 Minor edits by Hieronymus Fischer, May 06 2013 STATUS approved

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

Last modified December 6 07:08 EST 2019. Contains 329785 sequences. (Running on oeis4.)