# Arrange the numbers 1-9 in a 3×3 square using each only once

Arrange the numbers 1-9 in a 3×3 square using each once only, according to the following rules:

• exactly one prime number is directly above a prime number that’s two numbers less;
• each pair of opposite corners sums to the same square total and exactly two columns share another square total;
• exactly one prime number is directly to the left of a non-prime number that’s two numbers greater;
• directly above exactly one square number is a number that’s four numbers greater; and
• directly to the right of exactly one cubic number is a number that’s one number greater.

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Two Sand Glasses | Back – Next | An unusual paragraph ## Calculate the velocity of water coming out of a double-entry pipe

If we know the volumetric flow rates of the water going into the two branches, …

1. 8 1 6
3 5 7
4 9 2

2. What’s the absolute right answer? I need to know!!!!!!!

3. Hi how would I arrange the digits from 10 to 18 in a 3×3 table so that every row, column and diagonal totals the same amount? With explanation please!

4. 8 9 7
6 3 5
2 4 1

Good job, Mike..

5. 3 5 7
1 8 9
2 4 6

6. Mike Sprayberry

——————
8 9 7

6 3 5

2 4 1
——————

Proof follows:

7
5 satisfies rule #1

8 _ 7
_ _ _
2 _ 1 satisfies Rule #2a (3 squared)

8 9
6 3
2 4 satisfies Rule #2b (4 squared)

2 4 satisfies Rule #3

5
1 satisfies Rule #4

8 9 satisfies Rule #5

• 8 9 doesn’t satisfy rule # 5. 8 is not a cubic number. 9 is a cubic number, but the 8 is to the left of it.