A328522 Largest highly composite number that has n prime factors counted with multiplicity.

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

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