login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A272771 Smallest k in the interval [prime(n), 2*prime(n)], such that k has the maximal number of divisors in this interval. 3
4, 6, 6, 12, 12, 24, 24, 36, 36, 48, 60, 60, 60, 60, 60, 60, 60, 120, 120, 120, 120, 120, 120, 120, 180, 180, 180, 180, 180, 180, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 360, 360, 360, 360, 360, 360 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Conjecturally the different values of the sequence are highly composite numbers (A002182, n>=3).

LINKS

Peter J. C. Moses, Table of n, a(n) for n = 1..1000

EXAMPLE

Let n=5, prime(n)=11. In interval [11,22] we have 3 numbers 12,18 and 20 with the  maximal number of divisors in this interval(6). Since 12 is the smallest of them, then a(5)=12.

MATHEMATICA

Table[Function[p, First@ FirstPosition[#, Max@ #] + p - 1 &@ Map[DivisorSigma[0, #] &, Range[p, 2 p]]]@ Prime@ n, {n, 80}] (* Michael De Vlieger, May 07 2016, Version 10 *)

CROSSREFS

Cf. A000005, A000040.

Sequence in context: A304409 A081732 A079033 * A346675 A077038 A053320

Adjacent sequences:  A272768 A272769 A272770 * A272772 A272773 A272774

KEYWORD

nonn

AUTHOR

Vladimir Shevelev, May 06 2016

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 December 4 13:29 EST 2021. Contains 349526 sequences. (Running on oeis4.)