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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A273057 Largest term in A067128 having greatest prime divisor prime(n). 2
8, 108, 4320, 151200, 3326400, 108108000, 10291881600, 586637251200, 53970627110400, 5869305698256000, 667144414368432000, 26928374543598528000, 3036174229790734032000, 522221967524006253504000, 159538811078583910445472000, 16911113974329894507220032000, 1164048345233041071913645536000, 304315495968066451657424475840000, 28544793521804633165466415833792000, 2026680340048128954748115524199232000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

By the theorem of Vladimir Shevelev mentioned in sequence A273015, such an element exists for each prime.

LINKS

Table of n, a(n) for n=1..20.

MATHEMATICA

a = {}; b = {0}; Do[If[# >= Max@ b, AppendTo[a, k] && AppendTo[b, #]] &@

DivisorSigma[0, k], {k, 10^7}]; TakeWhile[Table[SelectFirst[Reverse@ a,

FactorInteger[#][[-1, 1]] == Prime@ n &], {n, 6}], # < Max@ a &] (* Michael De Vlieger, May 14 2016 *)

CROSSREFS

Cf. A273015, A273016, A273018.

Sequence in context: A084915 A138456 A267660 * A095917 A259233 A322718

Adjacent sequences:  A273054 A273055 A273056 * A273058 A273059 A273060

KEYWORD

nonn

AUTHOR

David A. Corneth and Vladimir Shevelev, May 14 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 May 17 16:03 EDT 2021. Contains 343980 sequences. (Running on oeis4.)