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A177442 Smallest a(n) such that the prime factorization of a(n)! contains at least one factor to each exponent between 1 and n. 0
2, 6, 15, 22, 55, 68, 85, 145, 261, 296, 333, 370, 492, 533, 590, 885, 944, 1005, 1143, 1207, 1278, 2831, 2980, 3048, 3175, 3302, 3429, 3576, 3725, 3874, 4023, 4775, 4966, 7368, 7582, 7805, 8289, 8606, 9036, 9036, 9287, 9599, 9599, 9824, 13902, 14233 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..46.

EXAMPLE

15! = 2^11 * 3^6 * 5^3 * 7^2 * 11 * 13 and is the smallest number whose prime factorization has at least one factor with exponent 1, one factor with exponent 2, and one factor with exponent 3, so a(3)=15.

CROSSREFS

Sequence in context: A144653 A276782 A227210 * A090979 A050508 A033298

Adjacent sequences:  A177439 A177440 A177441 * A177443 A177444 A177445

KEYWORD

nonn

AUTHOR

Jeff Burch, May 08 2010

EXTENSIONS

Corrected and extended by D. S. McNeil, May 22 2010

STATUS

approved

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Last modified September 21 12:28 EDT 2021. Contains 347598 sequences. (Running on oeis4.)