A111467 The following triangle contains n smallest numbers with the prime signature of n!. Sequence contains the triangle by rows.

1, 2, 3, 6, 10, 14, 24, 40, 54, 56, 120, 168, 264, 270, 280, 720, 1008, 1200, 1584, 1620, 1872, 5040, 7920, 8400, 9360, 11088, 11340, 11760, 40320, 63360, 67200, 74880, 88704, 94080, 97920, 104832, 362880, 570240, 673920, 798336, 881280, 943488, 984960, 1192320, 1224720

Offset

1,2

Comments

1

2 3

6 10 14

24 40 54 56

...

n! is the smallest number with that prime signature.

Links

Table of n, a(n) for n=1..45.

Example

4! = 24 = 2^3*3, 40 = 2^3*5, 54=3^3*2, 56=2^3*7
Hence the row corresponding n = 4 is 24,40,54,56.

Crossrefs

Cf. A111468, A111469.

Sequence in context: A337611 A325724 A373271 * A215891 A254033 A356314

Adjacent sequences: A111464 A111465 A111466 * A111468 A111469 A111470

Keyword

easy,nonn,tabl

Author

Amarnath Murthy, Aug 05 2005

Extensions

More terms from R. J. Mathar, May 08 2007

Status

approved