Office Applications and Entertainment, Magic Squares

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Prime Number Magic Squares, 3 x 3

Based on the first 1224 Prime Numbers, 125464 Prime Number Magic Squares of order 3 could be found (= 15683 Unique Squares) with 1049 different Magic Sums, which are summarised in the graph below:

Frequency Magic Sums

The collection defined above contains:

  • 3 Unique Magic Squares based on Arithmetic Series, d = 210:

    MC = 3117
    1669 619 829
    199 1039 1879
    1249 1459 409
    MC = 3747
    1879 829 1039
    409 1249 2089
    1459 1669 619
    MC = 13017
    4969 3919 4129
    3499 4339 5179
    4549 4759 3709

  • 9361 Pairs of Twin Squares, d = 2 ... 9184, occuring maximum 117 ea for d = 210:

    Frequency Twin Delta's

  • 32 Triplets, d = 30 ... 1890, occuring maximum 7 ea for d = 210 (ref. Attachment 14.2 page 2).

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