A076926 Smallest multiple of n with n distinct prime divisors.

2, 6, 30, 420, 2310, 30030, 510510, 38798760, 669278610, 6469693230, 200560490130, 14841476269620, 304250263527210, 13082761331670030, 614889782588491410, 260713267817520357840, 1922760350154212639070

Offset

1,1

Comments

Prime divisors counted without multiplicity. - Harvey P. Dale, Dec 06 2018

Links

Harvey P. Dale, Table of n, a(n) for n = 1..349

Formula

a(n) = A002110(n)*A003557(n). - Anthony Browne, Jun 13 2016

Maple

seq(lcm(product(ithprime(i), i=1..j), j), j=1..40);

Mathematica

With[{nn=20}, LCM@@#&/@Thread[{Range[nn], FoldList[Times, Prime[ Range[ nn]]]}]] (* Harvey P. Dale, Dec 06 2018 *)

Crossrefs

Cf. A002110, A003557, A076927.

Sequence in context: A127815 A054934 A001684 * A092023 A112723 A326867

Adjacent sequences: A076923 A076924 A076925 * A076927 A076928 A076929

Keyword

nonn

Author

Amarnath Murthy, Oct 17 2002

Extensions

More terms from Sascha Kurz, Jan 03 2003

Definition clarified by Harvey P. Dale, Dec 06 2018

Status

approved