login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A074247 Numbers n such that harmonic mean of the divisors of n is a prime. 2
6, 28, 140, 496, 2970, 8128, 27846, 105664, 117800, 237510, 539400, 1421280, 1539720, 2290260, 4358600, 8872200, 33550336, 50401728, 90409410, 233103780, 287425800, 318177800, 423184320, 559903400, 825120800, 1632825792, 2705020500, 3209343200, 3328809120, 4720896180 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Subsequence of A001599. Harmonic mean of divisors = n * tau(n) / sigma(n).

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..103 (calculated from the b-file at A001599)

EXAMPLE

140*tau(140)/sigma(140) = 5, a prime, so 140 is a term of the sequence.

MATHEMATICA

Select[Range[10^5], PrimeQ[ # * DivisorSigma[0, # ] / DivisorSigma[1, # ]] &]

Select[Range[1600000], PrimeQ[HarmonicMean[Divisors[#]]]&] (* Harvey P. Dale, Jul 24 2019 *)

CROSSREFS

Cf. A001599.

Sequence in context: A108051 A199315 A001599 * A053783 A216383 A283094

Adjacent sequences:  A074244 A074245 A074246 * A074248 A074249 A074250

KEYWORD

nonn

AUTHOR

Joseph L. Pe, Sep 20 2002

EXTENSIONS

a(8)-a(26) from Donovan Johnson, Jun 10 2010

More terms from Amiram Eldar, Sep 30 2019

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 19 02:41 EDT 2019. Contains 328211 sequences. (Running on oeis4.)