12/22/2015
12222015 is a composite, deficient, odd, odious, semiprime, squarefree, and wasteful number. It can be expressed as the sum of all of the integers from 45301 to 45569.
12222015 is a composite, deficient, odd, odious, semiprime, squarefree, and wasteful number. It can be expressed as the sum of all of the integers from 45301 to 45569.
Today is Srinivasa Ramanujan’s Birthday,
and a good day to talk about Brithdays and Magic Squares.
(Just a quick reminder  most of you have already decorated the house, bought presents and so forth  but if you haven't there are only 3 days left until Isaac Newton's Birthday!)
(Just a quick reminder  most of you have already decorated the house, bought presents and so forth  but if you haven't there are only 3 days left until Isaac Newton's Birthday!)
Ramanujan was a selftaught Indian
mathematician, discovered by the British mathematician G. K. Hardy. Hardy invited Ramanujan to return to London
with him in order to study mathematics.
Ramanujan created his own Magic Square.
22

12

18

87

88

17

9

25

10

24

89

16

19

86

23

11

Each row, each column and both major
diagonal add up to 139. You might also
notice that the four corners add up to 139 also.
And, the two numbers between the top
corners add with the two numbers between the bottom corners for a total of 139.
And, the two numbers between the left
corners add with the two numbers from the right corners for a total of 139.
And, the four numbers above, below, to the
right of, and to the left of the top left and bottom right corners add up to
139.
And, the four numbers above, below, to the
right and to the left of the bottom left and the top right corners add up to
139.
And, the four numbers in the middle of the
magic square add up to 139.
Are there more? Oh yes!
The four numbers in the top left corner add
up to 139. The four numbers in the top
right corner add up to 139. The four
numbers in the bottom left corner add up to 139. AND, the four numbers in the bottom right
corner add up to 139.
I’m glad were through ... we are through aren’t
we? Not yet!
The square containing the 88, 17, 10, and
24 (2^{nd} and 3^{rd} rows, 1^{st} and 2^{nd}
columns), and the square containing the 9, 16, 25 and 89 (2^{nd} and 3^{rd}
rows, 3^{rd} and 4^{th} columns) also add up to 139.
Finally we are at the end. You may not have noticed, but the icing on
the top is that the top row is Ramanujan’s birthday (22/12/1887 – written in
the British format (Day/Month/Year) with the year split into two twodigit
numbers).
Of course, I could go on about the
mathematical mysteries of 139.
Or I could start into a lecture on how to
create your own birthday. (Or, even
better, create one for your sweetheart’s birthday.)
Maybe out save those topics for another
day.
Email me if you want me to cover either of
those topics.
MOC TOD LIAMG TA UDE TOD MOIBM
(backwards)
(backwards)
And Arthur Benjamin has a really nerdy paper on how to make birthday magic squares at: https://www.math.hmc.edu/~benjamin/papers/DBMS.pdf . (But what makes it really nerdy is the picture of him in a nerdy math shirt.)
David