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5月, 2011の投稿を表示しています

Fractal

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I found the pattern of prime numbers , but I know that it is almost the same with sieve of Eratosthenes . When you see odd numbers, there is symmetry and you can find sieve of Eratosthenes. 3 5 7 9 11 3 9 15 21 27 33 5 15 25 35 45 55 7 21 35 49 63 77 9 27 45 63 81 99 11 33 55 77 99 121 I mean x=(3,5,7,9,11) y=(3,5,7,9,11). Therefore, you can see z=x*y and z=x+Σ2x or z=y+Σ2y. 9=3*3 and 9=3+2*3,15=3*5 and 15=3+4*3 or 15=5*3 and 15=5+2*5, 21=3*7 and 21=3+6*3 or 21=7*3 and 21=7+2*7・・・・. z is not prime numbers, so x'=(3,5,7,11) y'=(3,5,7,11). However, when you add 2, the symmetry is broken. 3 5 7 9 11 2 6 10 14 18 22 3 9 15 21 27 33 5 15 25 35 45 55 7 21 35 49 63 77 9 27 45 63 81 99 11 33 55 77 99 121 x=(3,5,7,9,11)...