perplexus.info :: Numbers : Partridge Pandigital Set

Partridge Pandigital Set (Posted on 2009-07-05)

Find the smallest set of distinct whole numbers that contains one 1, two 2s, three 3s, ..., nine 9s

Smallest refers to the sum of the numbers in the set.

Submitted by Jer

Rating: 4.0000 (1 votes)

Solution: (Hide)

The best I have found is a sum of 1095:
{5,6,7,8,9,19,28,28,37,38,39,46,47,48,49,56,57,58,59,67,68,69,78,79,89}
Incidentally the name of this puzzle comes from the Carol The Twelve Days of Christmas which features sets of 12, 11, etc.
http://www.stetson.edu/~efriedma/mathmagic/0802.html is another type of puzzle using this idea.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Thoughts	K Sengupta	2023-09-21 00:13:27
re(2): a pretty good start (spoiler)	Steve Herman	2009-07-05 21:38:55
re: a pretty good start (spoiler)	Harry	2009-07-05 20:47:34
a pretty good start	Daniel	2009-07-05 11:55:43

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