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A328522 Largest highly composite number that has n prime factors counted with multiplicity. 0
1, 2, 6, 12, 60, 180, 1260, 2520, 27720, 83160, 1081080, 3603600, 61261200, 698377680, 3491888400, 80313433200, 240940299600, 1686582097200, 48910880818800, 1516237305382800, 3032474610765600, 112201560598327200, 3066842656354276800, 131874234223233902400, 659371171116169512000, 30990445042459967064000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

These numbers are upper bounds on the largest term in A002182 that is not divisible by k for some k.

LINKS

Table of n, a(n) for n=0..25.

MATHEMATICA

With[{s = Take[Import["https://oeis.org/b002182.txt", "Data"][[All, -1]], 240]}, Drop[TakeWhile[#, IntegerQ], -6] &@ Table[s[[Lookup[#, n][[-1]] ]], {n, 0, Max@ Keys@ #}] &@ PositionIndex[Map[PrimeOmega, s]]] (* Michael De Vlieger, Jan 19 2020, using b-file at A002182. Caution: ensure full population of a given value of bigomega by extending scope beyond the desired number of terms. *)

CROSSREFS

Cf. A001222, A002182, A112778, A328521.

Sequence in context: A101657 A104371 A104350 * A220027 A072489 A072487

Adjacent sequences:  A328519 A328520 A328521 * A328523 A328524 A328525

KEYWORD

nonn

AUTHOR

David A. Corneth, Jan 04 2020

STATUS

approved

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Last modified October 26 00:52 EDT 2021. Contains 348256 sequences. (Running on oeis4.)