perplexus.info :: Numbers : Square pairs

Square pairs (Posted on 2005-01-09)

Back in An Arrangement of 15 you were asked to place the numbers 1 to 15 in a line so that any two adjacent numbers summed to a square number.

Now, try to arrange the numbers from 1 to 32 in a circle, so any two adjacent numbers again sum a square number.

Submitted by e.g.

Rating: 4.3333 (12 votes)

Solution: (Hide)

1, 8, 28, 21, 4, 32, 17, 19, 30, 6, 3, 13, 12, 24, 25, 11, 5, 31, 18, 7, 29, 20, 16, 9, 27, 22, 14, 2, 23, 26, 10, 15.

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

Subject	Author	Date
Comment	K Sengupta	2005-07-01 07:03:42
This is great thought in fact !	Pemmadu Raghu Ramaiah	2005-01-24 19:07:00
re(2): Non-Computer-Aided Solution - NO TRIAL AND ERROR NEEDED	jimmy prinz	2005-01-13 04:26:14
re: Non-Computer-Aided Solution - NO TRIAL AND ERROR NEEDED	nikki	2005-01-10 19:42:40
Graph theory	Old Original Oskar!	2005-01-10 17:04:35
Graphical way	bernie	2005-01-10 13:19:01
re(2): beginning	Larry	2005-01-09 23:41:29
Non-Computer-Aided Solution	np_rt	2005-01-09 20:16:43
Solution, by hand	Hugo	2005-01-09 20:07:28
Computer Solution--Spoiler	Charlie	2005-01-09 19:25:52
re: beginning	np_rt	2005-01-09 18:00:39
beginning	Larry	2005-01-09 16:23:48

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