Numeric Anagrams (Posted on 2009-03-17)

In general,
find an integer I which can be classified as Prime, Triangle, Square or Cube, comprised of unique digits and when the digits are rearranged, one of those categories applies. [eg: 19 (P) → 91 (T)]

Then specifically apply that rule to fill the table with the lowest values possible per category (integer I) with its anagram being larger, in the lower cell per category.


Note: It may not be possible to offer solutions for all asymetric categories.

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You might care also to offer some suggestions whereby some integers, without rearranging, may fall into another category - 36 (S), 36 (T); 729 (S), 729 (C).

Note that colours by row and column are category-defined.

	Submitted by brianjn
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Solution:	(Hide)
I have patched in some values offered by Charlie midway through his Computer listing. Note that Charlie's table is a diagonal mirror to what is below. Prime Triangle Square Cube 13 136 169 125 Prime 31 163 691 251 -------------------------------------- 19 120 1089 10648 Triangle 91 210 9180 40186 -------------------------------------- 163 136 144 2197 Square 361 361 441 7921 -------------------------------------- 251 57970 1296 125 Cube 512 79507 7921 512 --------------------------------------- Note too that Charlie has given additional thoughts about this in his comment.

	Subject	Author	Date
	Incorrect Solution	brianjn	2009-04-01 00:36:28
	computer solution	Charlie	2009-03-17 17:29:27