这里是6-----若干个真值与近似值对比。⊕代表真值,⊙代表近似值,当⊕=⊙时,只写⊕。⊙的值取整舍小数。
基本关系:∀y(i)≥6,
x(真)≈x(近)=(1/2)y(i)∏(1)∏(2)
∏(1)=∏(p(i)-1)/p(i),p(i)∣y(i),共计a个连乘因子,ω≥a≥1
∏(2)=∏(p(i)-2)/p(i),p(i)∤y(i),共计b个连乘因子,ω-1≥b≥0:
x(下)≥(1/2)*(p(ω)^2)*((2-1)/2)*((3-2)/3)*(3/5)*(5/7)......*p(ω-1)/p(ω)=p(ω)/4
即:x(真)≈x(近)≥x(下)≥p(ω)/4。p(ω)是区间【1,√y(i)】里最大素数。
此时x(真)、x(近)是两条折线。x(下)也是一条折线。谁都可以看出三者"关系"。(下限值未求出,未标出)
8................................................................................................................................................................
7...............................................................................................................................................................
6..........................................................................................................................................⊕..........⊕..........
5...........................................................................................................⊕............⊕.....................⊕.⊙......⊕
4.........................................................................⊕.⊕............⊕......⊕.......⊕......⊙.......⊕........................⊙
3...........................................⊕..⊕.⊕........⊕..........⊙.......⊕......⊕...........⊙..⊕......⊕............⊕................
2.............⊕.......⊕.⊕..⊕.⊕.⊙.............⊕......⊕.⊙.......⊕.⊙......⊙..⊙............⊙...........⊙......⊙..⊙......⊕..........
1......⊕⊕.....⊕..⊙..........................⊙..⊙...................................................................................................................
0.2.4.6.8.10.12.14.16.18.20.22.24.26.28.30.32.34.36.38.40.42.44.46.48.50.52.54.56.58.60.62.64.66.68.70
基本关系:∀y(i)≥6,
x(真)≈x(近)=(1/2)y(i)∏(1)∏(2)
∏(1)=∏(p(i)-1)/p(i),p(i)∣y(i),共计a个连乘因子,ω≥a≥1
∏(2)=∏(p(i)-2)/p(i),p(i)∤y(i),共计b个连乘因子,ω-1≥b≥0:
x(下)≥(1/2)*(p(ω)^2)*((2-1)/2)*((3-2)/3)*(3/5)*(5/7)......*p(ω-1)/p(ω)=p(ω)/4
即:x(真)≈x(近)≥x(下)≥p(ω)/4。p(ω)是区间【1,√y(i)】里最大素数。
此时x(真)、x(近)是两条折线。x(下)也是一条折线。谁都可以看出三者"关系"。(下限值未求出,未标出)
8................................................................................................................................................................
7...............................................................................................................................................................
6..........................................................................................................................................⊕..........⊕..........
5...........................................................................................................⊕............⊕.....................⊕.⊙......⊕
4.........................................................................⊕.⊕............⊕......⊕.......⊕......⊙.......⊕........................⊙
3...........................................⊕..⊕.⊕........⊕..........⊙.......⊕......⊕...........⊙..⊕......⊕............⊕................
2.............⊕.......⊕.⊕..⊕.⊕.⊙.............⊕......⊕.⊙.......⊕.⊙......⊙..⊙............⊙...........⊙......⊙..⊙......⊕..........
1......⊕⊕.....⊕..⊙..........................⊙..⊙...................................................................................................................
0.2.4.6.8.10.12.14.16.18.20.22.24.26.28.30.32.34.36.38.40.42.44.46.48.50.52.54.56.58.60.62.64.66.68.70