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 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 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

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Last modified May 17 16:03 EDT 2021. Contains 343980 sequences. (Running on oeis4.)