數字 撲朔迷您 48
> A→B = A^2 + B^2
100,101,1233 ,8833,10100,990100
以上有意思的數字,除了100以外*,還有一個隱藏的玄機...
101 (A = 10 , B = 1 ,A B 兩者無法約分), 10^2 + 1^2 = 101,而101是質數.
*100 (A = 10 , B = 0 ,假設A B 兩者約分得 1,0 ), 1^2 + 0^2 = 1,假設1是質數.
1233 (A = 12 , B = 33 ,A B 兩者約分得 4,11 ), 4^2 + 11^2 = 137,而137是質數.
8833 (A = 88 , B = 33 ,A B 兩者約分得 8,3 ), 8^2 + 3^2 = 73,而73是質數.
10100 (A = 10 , B = 100 ,A B 兩者約分得 1,10 ), 1^2 + 10^2 = 101,而101是質數.
990100 (A = 990 , B = 100 ,A B 兩者約分得 99,10 ), 99^2 + 10^2 = 9901,而9901是質數.
amazing!
>隱藏的玄機...
100,101 -> 1,101 -> 1 x 101 =101
1233 ,8833 -> 137,73 -> 137 x 73 = 10001
10100,990100 -> 101,9901 -> 101 x 9901 =1000001
是巧合嗎?
無巧不成書.
amazing!
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1/23 = 0.0344827586206896551724137931...
3103448275862068965517241379 & 6896551724137931034482758621
http://web.science.mq.edu.au/~alf/SomeRecentPapers/174a.pdf