57. FILLED RAMANUJAN'S BIRTHDAY MAGIC SQUARE | |||
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Ramanujan's date of birth is 22 12 1887.

Take this as four 2-digit numbers as **22, 12, 18, 87**.

1) School-boy Ramanujan's version of the magic-square is as below.

22 | 12 | 18 | 87 | 139 |

21 | 84 | 32 | 2 | 139 |

92 | 16 | 7 | 24 | 139 |

4 | 27 | 82 | 26 | 139 |

139 | 139 | 139 | 139 | 139 |

2) The other version,

(Not Ramanujan's work):

22 | 18 | 87 | 12 | 139 |

12 | 87 | 18 | 22 | 139 |

18 | 22 | 12 | 87 | 139 |

87 | 12 | 22 | 18 | 139 |

139 | 139 | 139 | 139 | 139 |

For serious readers:

1) You may be able to work out other vatiations

2) You need not memorise all of any one magic-square.

3) There are nice patterns in each; Try to find the pattern.

4) You can fill similar magic squares with any 16 consecutive natural numbers, odd numbers or even numbers etc.