A226296 The smallest number beginning with n that can be decomposed into divisors consisting exclusively of the first n semiprimes.

16, 24, 3456, 466560, 5927040, 6350400, 771573600, 838252800, 990186120000, 102979356480000, 112378266000000, 12379589782560000, 133730136540000000, 140865976625774400000, 1553794408841875200000, 16774637597496979200000, 17868635701681564800000

Offset

1,1

Comments

This is to A225903 as semiprimes A001358 are to prime A000040, and as Product of the first n semiprimes A112141 is to Primorials A002110.

Links

Christian N. K. Anderson, Table of n, a(n) for n = 1..375

Christian N. K. Anderson, Decomposition of the first 376 terms, indicating semiprime factors whose exponents are greater than one.

Example

a(1) = 16, the smallest multiple of the first semiprime (4) that begins with leftmost digit 1.
a(2) = 24 = 4 * 6, the product of the first 2 semiprimes, and already begins with 2.

Crossrefs

Cf. A001358, A112141, A225903.

Sequence in context: A066261 A256526 A243914 * A070571 A087622 A170985

Adjacent sequences: A226293 A226294 A226295 * A226297 A226298 A226299

Keyword

nonn,easy,base

Author

Jonathan Vos Post, Christian N. K. Anderson, and Kevin L. Schwartz, Jun 02 2013

Status

approved