A211198 The largest highly composite number (A002182) that is prime(n)-smooth.

1, 4, 48, 720, 50400, 665280, 43243200, 2205403200, 293318625600, 26985313555200, 782574093100800, 72779390658374400, 8976124847866176000, 368021118762513216000, 52222196752400625350400, 2454443247362829391468800, 1691111397432989450722003200

Offset

0,2

Comments

We assume prime(0) is 1. The set of maximal composite numbers is the "opposite" of the set of (old) prime numbers A008578, with both being indexed by the nonnegative integers A001477.

Links

Amiram Eldar, Table of n, a(n) for n = 0..333

Mathematica

(* let t be the sequence of numbers in A002182 *) Join[{1}, Table[Select[t, FactorInteger[#][[-1, 1]] == Prime[n] &][[-1]], {n, 20}]] (* T. D. Noe, Feb 09 2013 *)

Crossrefs

Cf. A002182.

Sequence in context: A333481 A003774 A214819 * A179235 A183204 A371677

Adjacent sequences: A211195 A211196 A211197 * A211199 A211200 A211201

Keyword

nonn

Author

Larens Imanyuel, Feb 03 2013

Status

approved