Ramanujan magic birtday square

 

Mr. Lawrence Humphrey from Canada pointed out to me the Ramanujan magic birthday square. See the trick of a 12 year old boy from India, using your own date of birth to construct a 4x4 magic birthday square.

 

Fill in your day of birth: DD-MM-YY-YY:

 

27

1

19

66

 

 

 

 

 

 

 

 

 

 

 

 

 

Fill in the same numbers in the remaining cells and put in each row the numbers in a different order (1-2-3-4, 4-3-2-1, 2-1-4-3 respectively 3-4-2-1; see colours):

 

27

1

19

66

66

19

1

27

1

27

66

19

19

66

27

1

 

Add the following numbers to the numbers of the square to get 16 different numbers:

 

0

0

0

0

1

-1

-3

3

-2

2

2

-2

1

-1

1

-1

 

See below the result:

 

27

1

19

66

67

18

-2

30

-1

29

68

17

20

65

28

0

 

 

See the download below to check if each row, column and diagonal gives the same magic sum.

 

Download
4x4, Ramanujan magic birthday square.xls
Microsoft Excel werkblad 12.3 KB