A273057 - OEIS

A273057

Largest term in A067128 having greatest prime divisor prime(n).

8, 108, 4320, 151200, 3326400, 108108000, 10291881600, 586637251200, 53970627110400, 5869305698256000, 667144414368432000, 26928374543598528000, 3036174229790734032000, 522221967524006253504000, 159538811078583910445472000, 16911113974329894507220032000, 1164048345233041071913645536000, 304315495968066451657424475840000, 28544793521804633165466415833792000, 2026680340048128954748115524199232000

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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