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Yes, it is possible to arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number. This is known as a "smullyan magic square." The arrangement is as follows: 16, 1, 15, 10, 6, 11, 5, 14, 2, 7, 9, 12, 4, 13, 3, 8, 17. Each adjacent pair in this arrangement adds up to a square number.

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16,9,7,

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Q: Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?
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Related questions

Is 104 a square number?

No. (There is no way that you could arrange 104 tiles into a square. The closest square numbers are 100 and 121.)


Is 110 a square number?

No, the two adjacent square numbers are 10^2 or 100 and 11^2 or 121


How did square numbers get the name?

By the fact that a 'SQUARE' has two sides the same length!!!!!


Can you arrange the whole numbers 1-15 in an order so that no number is repeated and the sum of any two adjacent or consecutive numbers is a perfect square?

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Can you arrange the numbers 1 to 17 in a row in the same way so that each adjacent pair adds up to a square number?

17, 8, 1, 15, 10, 6, 3, 13, 12, 4, 5, 11, 14, 2, 7, 9, 16


Why are they called square numbers?

You can take 4 counters, and arrange them in a square. 0 0 0 0 (2x2) You can also do it with 9 counters 0 0 0 0 0 0 0 0 0 (3 x 3) Any number that you can arrange in a square like this is a square number, like 16 (4x4), 25 (5x5), 36 (6x6) etc. 1 is also a square number (1x1) What are triangular numbers? :)


A square number is a number?

yes because square numbers have to be hole numbers to be square


What are the numbers arranged from 1 to 20 in a circle such that the sum of any two adjacent numbers is a perfect square?

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Why is 16 a perfect square?

16 is a perfect square because you can arrange exactly 16 balls or matches or circles in a square with equal sides. Refer to the diagram below.* * * ** * * ** * * ** * * *See the sides. There are exactly 4 stars on each of the sides. 4 x 4 = 16. That is how you can tell if something is a square number. 1 x 1 = 1. 2 x 2 = 4 and so on. Any number which you can arrange into a perfect square is a square number. That is why they are called square numbers int eh first place.


How is the number of factors of square numbers different from the number of factors for other numbers?

Square numbers have an odd number of factors.


Is a square adjacent and perpendicular?

The adjacent sides of a square are perpendicular.


Why are the numbers called square numbers?

When a number is multiplied by itself it is called the square of the number. It is called a square number as the number of dots or points represented by the number can be arranged in a square.