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Re: G7, same pattern again

Posted By: JiveTurkey
Date: 18 June 2001, 21:02

In Response To: G7, same pattern again (Luigi)

No, I just wrote a program that finds all sums, here is a full list for G7, you'll see that what you found isn't unique:

24 * 2 = 48 = 11 + 19 + 18
24 * 3 = 72 = 24 + 11 + 19 + 18
24 * 5 = 120 = 83 + 19 + 18
24 * 6 = 144 = 24 + 83 + 19 + 18
24 * 6 = 144 = 97 + 11 + 36
24 * 7 = 168 = 24 + 97 + 11 + 36
24 * 9 = 216 = 97 + 83 + 36
24 * 10 = 240 = 24 + 97 + 83 + 36
24 * 11 = 264 = 97 + 11 + 83 + 19 + 36 + 18
24 * 12 = 288 = 24 + 97 + 11 + 83 + 19 + 36 + 18

3 * 6 = 18 = 18
3 * 7 = 21 = 3 + 18
3 * 8 = 24 = 24
3 * 9 = 27 = 24 + 3
3 * 10 = 30 = 11 + 19
3 * 11 = 33 = 3 + 11 + 19
3 * 12 = 36 = 36
3 * 13 = 39 = 3 + 36
3 * 14 = 42 = 24 + 18
3 * 15 = 45 = 24 + 3 + 18
3 * 16 = 48 = 11 + 19 + 18
3 * 17 = 51 = 3 + 11 + 19 + 18
3 * 18 = 54 = 24 + 11 + 19
3 * 18 = 54 = 36 + 18
3 * 19 = 57 = 24 + 3 + 11 + 19
3 * 19 = 57 = 3 + 36 + 18
3 * 20 = 60 = 24 + 36
3 * 21 = 63 = 24 + 3 + 36
3 * 22 = 66 = 11 + 19 + 36
3 * 23 = 69 = 3 + 11 + 19 + 36
3 * 24 = 72 = 24 + 11 + 19 + 18
3 * 25 = 75 = 24 + 3 + 11 + 19 + 18
3 * 26 = 78 = 24 + 36 + 18
3 * 27 = 81 = 24 + 3 + 36 + 18
3 * 28 = 84 = 11 + 19 + 36 + 18
3 * 29 = 87 = 3 + 11 + 19 + 36 + 18
3 * 30 = 90 = 24 + 11 + 19 + 36
3 * 31 = 93 = 24 + 3 + 11 + 19 + 36
3 * 34 = 102 = 83 + 19
3 * 35 = 105 = 3 + 83 + 19
3 * 36 = 108 = 24 + 11 + 19 + 36 + 18
3 * 36 = 108 = 97 + 11
3 * 37 = 111 = 24 + 3 + 11 + 19 + 36 + 18
3 * 37 = 111 = 3 + 97 + 11
3 * 40 = 120 = 83 + 19 + 18
3 * 41 = 123 = 3 + 83 + 19 + 18
3 * 42 = 126 = 24 + 83 + 19
3 * 42 = 126 = 97 + 11 + 18
3 * 43 = 129 = 24 + 3 + 83 + 19
3 * 43 = 129 = 3 + 97 + 11 + 18
3 * 44 = 132 = 24 + 97 + 11
3 * 45 = 135 = 24 + 3 + 97 + 11
3 * 46 = 138 = 83 + 19 + 36
3 * 47 = 141 = 3 + 83 + 19 + 36
3 * 48 = 144 = 24 + 83 + 19 + 18
3 * 48 = 144 = 97 + 11 + 36
3 * 49 = 147 = 24 + 3 + 83 + 19 + 18
3 * 49 = 147 = 3 + 97 + 11 + 36
3 * 50 = 150 = 24 + 97 + 11 + 18
3 * 51 = 153 = 24 + 3 + 97 + 11 + 18
3 * 52 = 156 = 83 + 19 + 36 + 18
3 * 53 = 159 = 3 + 83 + 19 + 36 + 18
3 * 54 = 162 = 24 + 83 + 19 + 36
3 * 54 = 162 = 97 + 11 + 36 + 18
3 * 55 = 165 = 24 + 3 + 83 + 19 + 36
3 * 55 = 165 = 3 + 97 + 11 + 36 + 18
3 * 56 = 168 = 24 + 97 + 11 + 36
3 * 57 = 171 = 24 + 3 + 97 + 11 + 36
3 * 60 = 180 = 24 + 83 + 19 + 36 + 18
3 * 60 = 180 = 97 + 83
3 * 61 = 183 = 24 + 3 + 83 + 19 + 36 + 18
3 * 61 = 183 = 3 + 97 + 83
3 * 62 = 186 = 24 + 97 + 11 + 36 + 18
3 * 63 = 189 = 24 + 3 + 97 + 11 + 36 + 18
3 * 66 = 198 = 97 + 83 + 18
3 * 67 = 201 = 3 + 97 + 83 + 18
3 * 68 = 204 = 24 + 97 + 83
3 * 69 = 207 = 24 + 3 + 97 + 83
3 * 70 = 210 = 97 + 11 + 83 + 19
3 * 71 = 213 = 3 + 97 + 11 + 83 + 19
3 * 72 = 216 = 97 + 83 + 36
3 * 73 = 219 = 3 + 97 + 83 + 36
3 * 74 = 222 = 24 + 97 + 83 + 18
3 * 75 = 225 = 24 + 3 + 97 + 83 + 18
3 * 76 = 228 = 97 + 11 + 83 + 19 + 18
3 * 77 = 231 = 3 + 97 + 11 + 83 + 19 + 18
3 * 78 = 234 = 24 + 97 + 11 + 83 + 19
3 * 78 = 234 = 97 + 83 + 36 + 18
3 * 79 = 237 = 24 + 3 + 97 + 11 + 83 + 19
3 * 79 = 237 = 3 + 97 + 83 + 36 + 18
3 * 80 = 240 = 24 + 97 + 83 + 36
3 * 81 = 243 = 24 + 3 + 97 + 83 + 36
3 * 82 = 246 = 97 + 11 + 83 + 19 + 36
3 * 83 = 249 = 3 + 97 + 11 + 83 + 19 + 36
3 * 84 = 252 = 24 + 97 + 11 + 83 + 19 + 18
3 * 85 = 255 = 24 + 3 + 97 + 11 + 83 + 19 + 18
3 * 86 = 258 = 24 + 97 + 83 + 36 + 18
3 * 87 = 261 = 24 + 3 + 97 + 83 + 36 + 18
3 * 88 = 264 = 97 + 11 + 83 + 19 + 36 + 18
3 * 89 = 267 = 3 + 97 + 11 + 83 + 19 + 36 + 18
3 * 90 = 270 = 24 + 97 + 11 + 83 + 19 + 36
3 * 91 = 273 = 24 + 3 + 97 + 11 + 83 + 19 + 36
3 * 96 = 288 = 24 + 97 + 11 + 83 + 19 + 36 + 18
3 * 97 = 291 = 24 + 3 + 97 + 11 + 83 + 19 + 36 + 18

97 * 2 = 194 = 24 + 3 + 11 + 83 + 19 + 36 + 18
97 * 2 = 194 = 24 + 97 + 19 + 36 + 18
97 * 2 = 194 = 3 + 97 + 11 + 83
97 * 3 = 291 = 24 + 3 + 97 + 11 + 83 + 19 + 36 + 18

11 * 2 = 22 = 3 + 19
11 * 3 = 33 = 3 + 11 + 19
11 * 5 = 55 = 19 + 36
11 * 6 = 66 = 11 + 19 + 36
11 * 10 = 110 = 24 + 3 + 83
11 * 11 = 121 = 24 + 3 + 11 + 83
11 * 11 = 121 = 24 + 97
11 * 12 = 132 = 24 + 97 + 11
11 * 13 = 143 = 24 + 3 + 97 + 19
11 * 13 = 143 = 24 + 83 + 36
11 * 14 = 154 = 24 + 3 + 97 + 11 + 19
11 * 14 = 154 = 24 + 11 + 83 + 36
11 * 14 = 154 = 3 + 97 + 36 + 18
11 * 15 = 165 = 24 + 3 + 83 + 19 + 36
11 * 15 = 165 = 3 + 97 + 11 + 36 + 18
11 * 16 = 176 = 24 + 3 + 11 + 83 + 19 + 36
11 * 16 = 176 = 24 + 97 + 19 + 36
11 * 17 = 187 = 24 + 97 + 11 + 19 + 36
11 * 18 = 198 = 97 + 83 + 18
11 * 19 = 209 = 97 + 11 + 83 + 18
11 * 20 = 220 = 3 + 97 + 83 + 19 + 18
11 * 21 = 231 = 3 + 97 + 11 + 83 + 19 + 18
11 * 23 = 253 = 97 + 83 + 19 + 36 + 18
11 * 24 = 264 = 97 + 11 + 83 + 19 + 36 + 18

83 * 2 = 166 = 3 + 97 + 11 + 19 + 36
83 * 3 = 249 = 3 + 97 + 11 + 83 + 19 + 36

19 * 2 = 38 = 24 + 3 + 11
19 * 3 = 57 = 24 + 3 + 11 + 19
19 * 3 = 57 = 3 + 36 + 18
19 * 4 = 76 = 3 + 19 + 36 + 18
19 * 7 = 133 = 3 + 11 + 83 + 36
19 * 7 = 133 = 97 + 36
19 * 8 = 152 = 3 + 11 + 83 + 19 + 36
19 * 8 = 152 = 97 + 19 + 36
19 * 9 = 171 = 24 + 3 + 97 + 11 + 36
19 * 10 = 190 = 24 + 3 + 97 + 11 + 19 + 36
19 * 11 = 209 = 97 + 11 + 83 + 18
19 * 12 = 228 = 97 + 11 + 83 + 19 + 18

36 * 2 = 72 = 24 + 11 + 19 + 18
36 * 3 = 108 = 24 + 11 + 19 + 36 + 18
36 * 3 = 108 = 97 + 11
36 * 4 = 144 = 24 + 83 + 19 + 18
36 * 4 = 144 = 97 + 11 + 36
36 * 5 = 180 = 24 + 83 + 19 + 36 + 18
36 * 5 = 180 = 97 + 83
36 * 6 = 216 = 97 + 83 + 36
36 * 7 = 252 = 24 + 97 + 11 + 83 + 19 + 18
36 * 8 = 288 = 24 + 97 + 11 + 83 + 19 + 36 + 18

18 * 2 = 36 = 36
18 * 3 = 54 = 24 + 11 + 19
18 * 3 = 54 = 36 + 18
18 * 4 = 72 = 24 + 11 + 19 + 18
18 * 5 = 90 = 24 + 11 + 19 + 36
18 * 6 = 108 = 24 + 11 + 19 + 36 + 18
18 * 6 = 108 = 97 + 11
18 * 7 = 126 = 24 + 83 + 19
18 * 7 = 126 = 97 + 11 + 18
18 * 8 = 144 = 24 + 83 + 19 + 18
18 * 8 = 144 = 97 + 11 + 36
18 * 9 = 162 = 24 + 83 + 19 + 36
18 * 9 = 162 = 97 + 11 + 36 + 18
18 * 10 = 180 = 24 + 83 + 19 + 36 + 18
18 * 10 = 180 = 97 + 83
18 * 11 = 198 = 97 + 83 + 18
18 * 12 = 216 = 97 + 83 + 36
18 * 13 = 234 = 24 + 97 + 11 + 83 + 19
18 * 13 = 234 = 97 + 83 + 36 + 18
18 * 14 = 252 = 24 + 97 + 11 + 83 + 19 + 18
18 * 15 = 270 = 24 + 97 + 11 + 83 + 19 + 36
18 * 16 = 288 = 24 + 97 + 11 + 83 + 19 + 36 + 18

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