A156236 Smallest pentagonal number with n distinct prime factors.

5, 12, 70, 210, 11310, 145860, 1560090, 23130030, 2491434660, 200736225690, 1906748513670, 281993526895080, 9427390580377770, 904832960818356570, 117584828859645537390, 2928413909631253063020, 400579656276180828206760

Offset: 1

Author

Donovan Johnson, Feb 07 2009

Keywords

• nonn

Comments

a(18) <= 44573764536301609937057730. - Donovan Johnson, Feb 15 2012

Examples

			a(9) = 2491434660 = 2^2*3*5*11*13*17*19*29*31. 2491434660 is the smallest pentagonal number with 9 distinct prime factors.
		

Links

• Eric Weisstein's World of Mathematics, Pentagonal Numbers.

Crossrefs

Cf. A000326, A076551, A156237, A156238, A156239.

Extensions

a(17) from Donovan Johnson, Jun 26 2011