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 and construct your own birthday magic square.

 

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