What is so special about Srinivasa Ramanujan's Magic Square?
![Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes) Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes)](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh1RD4QyTbz2q7pJDQ7bdwGW4UNnmzTHkbgkGpnt3kW0-PNb2l9d4f1Ihgk8-2IHRQdADksK55YDe3VCsWcye5GR7Ynu6P58M3Js5zC1Kn8A46UBDYJ_kiloF9RonKxZF7g2gxfuP0A9Qr_/s400/ramanujamsquare0.png)
You may be familiar with magic squares. Srinivasa Ramanujan also designed his own magic square.
![Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes) Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes)](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiwXqaoo59ChfPsB_bKKTJJSlsb2WBJ12q2sXddWHy0o54sBpXeUr1hjtSFFMtYXDp0RYvdJdNKS6SWQrWVgRGJ1rk2OogWnVvo7XqOoJat3YOqR1LYalQl_BxEQk28Ui4B8UiB56S6GTxx/s400/ramanujamsquare1.png)
This magic square looks similar to any other square. What is so special about it?
Sum of any rows is 139
![Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes) Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes)](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi6c6InaGj9CQRx85y6iuh2bHfRXF8JtZx2AooJ0i0D6osN8WoXD73JGZHz3UkHuhS3ggNSHV31NXVftLGDIG8Cn8S3ZEl7H6U2nxamKUVkfT_JA_j-ZA9DVRuAmBH1MUq-qcWJ3hu6APXb/s320/ramanujamsquare2.png)
Sum of numbers of any column is also 139. Does it make a special square?
![Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes) Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes)](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg0IejIp12pL-64bZz9UF-KR6kt4e9M8rSj65HBhyphenhyphenCm4DRcgkN6P7Z2YoDpRhfEgL2FJl3qG8hsdgcT_ZTT0awr9_v7jjy3DmbEU0sMo7NW6mtHBey8kyIdAqoDR4Unb0Pzi5ASCxQs34uy/s1600/ramanujamsquare3.png)
Sum of any diagonal numbers is 139.
![Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes) Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes)](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhzTwn1mQ-6S_qBGfJUT75J0p7Z4HacIKnBobvmEjJ7G596efpywG9ODFgJ7cpV_ptDFAPLxCpl7r9GgBWbVxjrN4CvO7B1eBLknJMciEvBx5Pbm8MBObTyGfXHg4DsfZqITauQrzrT0sGn/s400/ramanujamsquare4.png)
But this is pretty common in other magic squares! Wait...
![Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes) Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes)](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjxO3nvFrsHf_AH5n8szooRXUCrz5Qz6QnR945a8l9zhMYLiPG3Uc3jJ6NNh36wTZc4Saf_gbR9bAKNBFd28yFPiF9D94VZgqOTFbnGZBHS6TwGUhzWoYViYZ_6J1pbI_esd8u3JUWX3I_F/s1600/ramanujamsquare5.png)
Sum of corner numbers is also 139.
Sounds interesting!
![Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes) Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes)](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj1yyFOTvYPv5XEao04re-4xZYVVsN_ZnJ04GoqNZTTvy1sLp11PO-YzWXoe9U4OS_oqpOuPzTbFunaaGP0eTeS0UBjQ-vISUoJN4CadkOypiWl26xT0Jw6udrJEXe45HahBllumaelKXqF/s1600/ramanujamsquare6.png)
Sum of same coloured boxes is also 139. Really!
Look at other possible combinations like sum of identical colour boxes is 139.
![Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes) Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes)](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgZYP_h68liPUZAbUepP4b61C9JIpYy7ByFtAfJ5UGw1TJX3Vourd5mDGjQ2hMOCAfy5TCuGQ9WzOXaSiZcqJyShQgeu1QoBZ-ia-YYtkx1sIeV3S1IReWHDJXycPMZG-pC9O3I792Ggt0F/s1600/ramanujamsquare7.png)
Wow!
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgCw_QDlr8IR36UULVz_LIXYO8sJdBNYXBatuNz8x_oN-L4pKH-aqIuZnFptmzD0oCgnJ_kKDJPRe0fQPABXMf__XrZRsJVY8mN6ZhyphenhyphenGJwSTBSTULRKqXeTfAaUSqsq6-3GmpbfPASfCUZi/s1600/ramanujamsquare8.png)
Sum the central squares... 139 Simply Great!
You may try other combinations... isn't it superb?
![Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes) Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes)](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjf-xNNXxFVs6i4KB2hQwozPfRISPFv7U327f6aLWPMeNJ4JER6LlZx1RzYo4jiKibKO1uYTl2c38JRWzEIov5hYhFdytzjuFx5G1qY1wfREH6Iuo2y1xugL9tMjaHXZBmdPEfLgh5yrxPt/s1600/ramanujamsquare9.png)
![Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes) Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes)](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhnrybZv-F9GjUnftSneyTVRQ_pT98wXpI83_g10MAgHRFZioZHQSL7_biFFdY-ClQeRFssFadAYEgRhq1KvFjPsq4GG73GlzWugA0ZGZRnJEEd8MEqJN-Hb54693nbKHs-JqZLtuZvEIHr/s1600/ramanujamsquare10.png)
Do you know the relation between the square's first row and Ramanujam?
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEinzGbA3yAvt5EGwUcxXP5opazihVv7baQ7M9C3RTq4DPBwBRXQOmMfYY7Apuh09fRs9lm-BnXFd88Vqtz-Aur_4GHc4m_5yKwHbMj8p9BMSsPGei0oD7qX1HV5oY8z0SNGqfC2Wo5-Bvtr/s1600/ramanujamsquare11.png)
By the way 139 is a prime number.
There is a movie with a title 'The Man who knew Infinity', showing life experiences about him. There is a good book with the same title 'The Man Who Knew Infinity: A life of Genius Ramanujam' by Robert Kanigel (Available at Amazon also).
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