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Perfect magic squares
Pan magic 35x35 square
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How to produce a pan magic 35x35 square


You can use a panmagic 5x5 square and a panmagic 7x7 square to produce a panmagic 35x35 square (how to produce a
panmagic 5x5 and/or a panmagic 7x7 square, see on page panmagic 5x5 square):
  • Make a 7x7 carpet of a panmagic 5x5 square;
  • Make a 5x5 carpet of a panmagic 7x7 square;
  • Take [digit -/- 1] x 49 from the first carpet and add (1x) the digit from the same cell of the second carpet.

Take [digit -/- 1] x 49 from 7x7 carpet of a pan magic 5x5 square
1 7 13 19 25 1 7 13 19 25 1 7 13 19 25 1 7 13 19 25 1 7 13 19 25 1 7 13 19 25 1 7 13 19 25
14 20 21 2 8 14 20 21 2 8 14 20 21 2 8 14 20 21 2 8 14 20 21 2 8 14 20 21 2 8 14 20 21 2 8
22 3 9 15 16 22 3 9 15 16 22 3 9 15 16 22 3 9 15 16 22 3 9 15 16 22 3 9 15 16 22 3 9 15 16
10 11 17 23 4 10 11 17 23 4 10 11 17 23 4 10 11 17 23 4 10 11 17 23 4 10 11 17 23 4 10 11 17 23 4
18 24 5 6 12 18 24 5 6 12 18 24 5 6 12 18 24 5 6 12 18 24 5 6 12 18 24 5 6 12 18 24 5 6 12
1 7 13 19 25 1 7 13 19 25 1 7 13 19 25 1 7 13 19 25 1 7 13 19 25 1 7 13 19 25 1 7 13 19 25
14 20 21 2 8 14 20 21 2 8 14 20 21 2 8 14 20 21 2 8 14 20 21 2 8 14 20 21 2 8 14 20 21 2 8
22 3 9 15 16 22 3 9 15 16 22 3 9 15 16 22 3 9 15 16 22 3 9 15 16 22 3 9 15 16 22 3 9 15 16
10 11 17 23 4 10 11 17 23 4 10 11 17 23 4 10 11 17 23 4 10 11 17 23 4 10 11 17 23 4 10 11 17 23 4
18 24 5 6 12 18 24 5 6 12 18 24 5 6 12 18 24 5 6 12 18 24 5 6 12 18 24 5 6 12 18 24 5 6 12
1 7 13 19 25 1 7 13 19 25 1 7 13 19 25 1 7 13 19 25 1 7 13 19 25 1 7 13 19 25 1 7 13 19 25
14 20 21 2 8 14 20 21 2 8 14 20 21 2 8 14 20 21 2 8 14 20 21 2 8 14 20 21 2 8 14 20 21 2 8
22 3 9 15 16 22 3 9 15 16 22 3 9 15 16 22 3 9 15 16 22 3 9 15 16 22 3 9 15 16 22 3 9 15 16
10 11 17 23 4 10 11 17 23 4 10 11 17 23 4 10 11 17 23 4 10 11 17 23 4 10 11 17 23 4 10 11 17 23 4
18 24 5 6 12 18 24 5 6 12 18 24 5 6 12 18 24 5 6 12 18 24 5 6 12 18 24 5 6 12 18 24 5 6 12
1 7 13 19 25 1 7 13 19 25 1 7 13 19 25 1 7 13 19 25 1 7 13 19 25 1 7 13 19 25 1 7 13 19 25
14 20 21 2 8 14 20 21 2 8 14 20 21 2 8 14 20 21 2 8 14 20 21 2 8 14 20 21 2 8 14 20 21 2 8
22 3 9 15 16 22 3 9 15 16 22 3 9 15 16 22 3 9 15 16 22 3 9 15 16 22 3 9 15 16 22 3 9 15 16
10 11 17 23 4 10 11 17 23 4 10 11 17 23 4 10 11 17 23 4 10 11 17 23 4 10 11 17 23 4 10 11 17 23 4
18 24 5 6 12 18 24 5 6 12 18 24 5 6 12 18 24 5 6 12 18 24 5 6 12 18 24 5 6 12 18 24 5 6 12
1 7 13 19 25 1 7 13 19 25 1 7 13 19 25 1 7 13 19 25 1 7 13 19 25 1 7 13 19 25 1 7 13 19 25
14 20 21 2 8 14 20 21 2 8 14 20 21 2 8 14 20 21 2 8 14 20 21 2 8 14 20 21 2 8 14 20 21 2 8
22 3 9 15 16 22 3 9 15 16 22 3 9 15 16 22 3 9 15 16 22 3 9 15 16 22 3 9 15 16 22 3 9 15 16
10 11 17 23 4 10 11 17 23 4 10 11 17 23 4 10 11 17 23 4 10 11 17 23 4 10 11 17 23 4 10 11 17 23 4
18 24 5 6 12 18 24 5 6 12 18 24 5 6 12 18 24 5 6 12 18 24 5 6 12 18 24 5 6 12 18 24 5 6 12
1 7 13 19 25 1 7 13 19 25 1 7 13 19 25 1 7 13 19 25 1 7 13 19 25 1 7 13 19 25 1 7 13 19 25
14 20 21 2 8 14 20 21 2 8 14 20 21 2 8 14 20 21 2 8 14 20 21 2 8 14 20 21 2 8 14 20 21 2 8
22 3 9 15 16 22 3 9 15 16 22 3 9 15 16 22 3 9 15 16 22 3 9 15 16 22 3 9 15 16 22 3 9 15 16
10 11 17 23 4 10 11 17 23 4 10 11 17 23 4 10 11 17 23 4 10 11 17 23 4 10 11 17 23 4 10 11 17 23 4
18 24 5 6 12 18 24 5 6 12 18 24 5 6 12 18 24 5 6 12 18 24 5 6 12 18 24 5 6 12 18 24 5 6 12
1 7 13 19 25 1 7 13 19 25 1 7 13 19 25 1 7 13 19 25 1 7 13 19 25 1 7 13 19 25 1 7 13 19 25
14 20 21 2 8 14 20 21 2 8 14 20 21 2 8 14 20 21 2 8 14 20 21 2 8 14 20 21 2 8 14 20 21 2 8
22 3 9 15 16 22 3 9 15 16 22 3 9 15 16 22 3 9 15 16 22 3 9 15 16 22 3 9 15 16 22 3 9 15 16
10 11 17 23 4 10 11 17 23 4 10 11 17 23 4 10 11 17 23 4 10 11 17 23 4 10 11 17 23 4 10 11 17 23 4
18 24 5 6 12 18 24 5 6 12 18 24 5 6 12 18 24 5 6 12 18 24 5 6 12 18 24 5 6 12 18 24 5 6 12



+ 1x digit from 5x5 carpet of a pan magic 7x7 square
1 9 17 25 33 41 49 1 9 17 25 33 41 49 1 9 17 25 33 41 49 1 9 17 25 33 41 49 1 9 17 25 33 41 49
20 28 29 37 45 4 12 20 28 29 37 45 4 12 20 28 29 37 45 4 12 20 28 29 37 45 4 12 20 28 29 37 45 4 12
32 40 48 7 8 16 24 32 40 48 7 8 16 24 32 40 48 7 8 16 24 32 40 48 7 8 16 24 32 40 48 7 8 16 24
44 3 11 19 27 35 36 44 3 11 19 27 35 36 44 3 11 19 27 35 36 44 3 11 19 27 35 36 44 3 11 19 27 35 36
14 15 23 31 39 47 6 14 15 23 31 39 47 6 14 15 23 31 39 47 6 14 15 23 31 39 47 6 14 15 23 31 39 47 6
26 34 42 43 2 10 18 26 34 42 43 2 10 18 26 34 42 43 2 10 18 26 34 42 43 2 10 18 26 34 42 43 2 10 18
38 46 5 13 21 22 30 38 46 5 13 21 22 30 38 46 5 13 21 22 30 38 46 5 13 21 22 30 38 46 5 13 21 22 30
1 9 17 25 33 41 49 1 9 17 25 33 41 49 1 9 17 25 33 41 49 1 9 17 25 33 41 49 1 9 17 25 33 41 49
20 28 29 37 45 4 12 20 28 29 37 45 4 12 20 28 29 37 45 4 12 20 28 29 37 45 4 12 20 28 29 37 45 4 12
32 40 48 7 8 16 24 32 40 48 7 8 16 24 32 40 48 7 8 16 24 32 40 48 7 8 16 24 32 40 48 7 8 16 24
44 3 11 19 27 35 36 44 3 11 19 27 35 36 44 3 11 19 27 35 36 44 3 11 19 27 35 36 44 3 11 19 27 35 36
14 15 23 31 39 47 6 14 15 23 31 39 47 6 14 15 23 31 39 47 6 14 15 23 31 39 47 6 14 15 23 31 39 47 6
26 34 42 43 2 10 18 26 34 42 43 2 10 18 26 34 42 43 2 10 18 26 34 42 43 2 10 18 26 34 42 43 2 10 18
38 46 5 13 21 22 30 38 46 5 13 21 22 30 38 46 5 13 21 22 30 38 46 5 13 21 22 30 38 46 5 13 21 22 30
1 9 17 25 33 41 49 1 9 17 25 33 41 49 1 9 17 25 33 41 49 1 9 17 25 33 41 49 1 9 17 25 33 41 49
20 28 29 37 45 4 12 20 28 29 37 45 4 12 20 28 29 37 45 4 12 20 28 29 37 45 4 12 20 28 29 37 45 4 12
32 40 48 7 8 16 24 32 40 48 7 8 16 24 32 40 48 7 8 16 24 32 40 48 7 8 16 24 32 40 48 7 8 16 24
44 3 11 19 27 35 36 44 3 11 19 27 35 36 44 3 11 19 27 35 36 44 3 11 19 27 35 36 44 3 11 19 27 35 36
14 15 23 31 39 47 6 14 15 23 31 39 47 6 14 15 23 31 39 47 6 14 15 23 31 39 47 6 14 15 23 31 39 47 6
26 34 42 43 2 10 18 26 34 42 43 2 10 18 26 34 42 43 2 10 18 26 34 42 43 2 10 18 26 34 42 43 2 10 18
38 46 5 13 21 22 30 38 46 5 13 21 22 30 38 46 5 13 21 22 30 38 46 5 13 21 22 30 38 46 5 13