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Numbers are surprisingly wonderful.
I mean who would have thought that the decimal part
of the 18 reciprocals of 19 would give…All 18 reciprocals of 19…
1/19
2/19
3/19
4/19
5/19
6/19
7/19
8/19
9/19
10/19
11/19
12/19
13/19
14/19
15/19
16/19
17/19
18/19Take decimal part, stopping at repeat
(which happens to be the 18th decimal)
0.052631578947368421
0.105263157894736842
0.157894736842105263
0.210526315789473684
0.263157894736842105
0.315789473684210526
0.368421052631578947
0.421052631578947368
0.473684210526315789
0.526315789473684210
0.578947368421052631
0.631578947368421052
0.684210526315789473
0.736842105263157894
0.789473684210526315
0.842105263157894736
0.894736842105263157
0.947368421052631578Take decimal portion only giving an 18 x 18
Magic Square – where each row, each column
and the two long diagonals add up to 81[0][5][2][6][3][1][5][7][8][9][4][7][3][6][8][4][2][1]
[1][0][5][2][6][3][1][5][7][8][9][4][7][3][6][8][4][2]
[1][5][7][8][9][4][7][3][6][8][4][2][1][0][5][2][6][3]
[2][1][0][5][2][6][3][1][5][7][8][9][4][7][3][6][8][4]
[2][6][3][1][5][7][8][9][4][7][3][6][8][4][2][1][0][5]
[3][1][5][7][8][9][4][7][3][6][8][4][2][1][0][5][2][6]
[3][6][8][4][2][1][0][5][2][6][3][1][5][7][8][9][4][7]
[4][2][1][0][5][2][6][3][1][5][7][8][9][4][7][3][6][8]
[4][7][3][6][8][4][2][1][0][5][2][6][3][1][5][7][8][9]
[5][2][6][3][1][5][7][8][9][4][7][3][6][8][4][2][1][0]
[5][7][8][9][4][7][3][6][8][4][2][1][0][5][2][6][3][1]
[6][3][1][5][7][8][9][4][7][3][6][8][4][2][1][0][5][2]
[6][8][4][2][1][0][5][2][6][3][1][5][7][8][9][4][7][3]
[7][3][6][8][4][2][1][0][5][2][6][3][1][5][7][8][9][4]
[7][8][9][4][7][3][6][8][4][2][1][0][5][2][6][3][1][5]
[8][4][2][1][0][5][2][6][3][1][5][7][8][9][4][7][3][6]
[8][9][4][7][3][6][8][4][2][1][0][5][2][6][3][1][5][7]
[9][4][7][3][6][8][4][2][1][0][5][2][6][3][1][5][7][8]The wonder of it!!
anything else? I really like the proof of fermats last theorem although it is very complex i still understand what is going on even though im in year 8
[Are you sure you don’t mean the proof of Fermat’s little theorem? I only know a handful of people who understand what is going on with Andrew Wiles’ and Richard Taylor’s proof of Fermat’s Last Theorem! Harry]
Fellow maths lover here. Hopefully, I’ve interpreted 6B correctly, so Harry I was wondering if you could recommend any resources on number theory. If I am completely wrong about the message then I would still like to know what works on number theory you find interesting.
[Possibly nt write on the trail of 7B hints yet, but I can thoroughly recommend learning number theory anyway! There are many great resources on the web. Perhaps people would like to nominate their favourites before I weigh in? Harry]
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