11/30/2022 0 Comments Composite numbers![]() ![]() If you have excel on your computer, click on 12 Factors, select the magic square tab, and then you can make this 11 x 11 magic square yourself. Notice that the difference between any smaller number and the larger number just below it is either 12 or 1. I found it to be the trickiest placing the numbers 67 and 68, but other than that it was rather easy to know where to put the numbers. When a diagonal reaches the edge of the square, imagine that edge is connected to the opposite edge and continue the diagonal from the opposite edge. ![]() We can’t put the number 12 along the same diagonal because the number 1 is already in that spot, so we put the 12 UNDER the 11 and begin working on a new diagonal.Īnytime a number already occupies a space on a diagonal, put the next number under the preceding number and continue making a new diagonal. If you imagine the diagonal wrapping around the square, you can continue to follow it for numbers 7, 8, 9, 10, and 11. (It’s located on the bottom row just right of the exact center square.) Notice that the numbers 3, 4, 5, and 6 are on the same diagonal. The number 1 is located in the exact center of the top row.įind the number 2 on the square. Here is the equation:īecause 11 is an odd number there are simple directions to complete the entire square: ![]() The reason it is the magic sum is because the sum of all the numbers from 1 to 121 can be computed and then divided by 11 (the number of rows). Notice how every row, column, and diagonal on the square sums to 671. I’ll give directions so you can do it, too!) (That link from wikipedia helped me construct this square. Does it do the same thing to you?īest of all 671 is the magic sum of an 11 x 11 magic square. 671 is the sum of the fifteen prime numbers from 17 to 73.īecause 61 is one of its factors, 671 is the hypotenuse of the Pythagorean triple 121-660-671. The greatest common factor of those three numbers practically jumps out at me. ![]()
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