slide0102.htm
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<title>第四章</title>
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mso-ascii-font-family:"Times New Roman";mso-fareast-font-family:黑体;font-size:
150%;mso-fareast-language:ZH-CN'><b>4.6 </b></span><span style='font-family:
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</b></span><span style='font-family:宋体;mso-fareast-font-family:宋体'><b>素数与哥德巴赫猜想</b></span><b>
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style='font-family:宋体;mso-fareast-font-family:宋体;color:#0033CC'><b>判断一个给定的整数是否为素数。</b></span><b>
</b></div>
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<div style='text-align:justify;mso-line-spacing:"110 50 0";position:absolute;
top:38.0%;left:11.79%;width:80.71%;height:40.25%'><b><span
style='mso-spacerun:yes'> </span></b><span
style='font-family:宋体;mso-fareast-font-family:宋体'><b>算法思路:素数指除了能被</b></span><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-font-family:"Arial Unicode MS";mso-fareast-language:ZH-CN'><b>1</b></span><span
style='font-family:宋体;mso-fareast-font-family:宋体'><b>和自身外,不能被其他整数整除的自然数。判断整数</b></span><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-font-family:"Arial Unicode MS";mso-fareast-language:ZH-CN'><b>N</b></span><span
style='font-family:宋体;mso-fareast-font-family:宋体'><b>是不是素数的基本方法是:将</b></span><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-font-family:"Arial Unicode MS";mso-fareast-language:ZH-CN'><b>N</b></span><span
style='font-family:宋体;mso-fareast-font-family:宋体'><b>分别除以</b></span><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-font-family:"Arial Unicode MS";mso-fareast-language:ZH-CN'><b>2</b></span><span
style='font-family:宋体;mso-fareast-font-family:宋体'><b>,</b></span><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-font-family:"Arial Unicode MS";mso-fareast-language:ZH-CN'><b>3</b></span><span
style='font-family:宋体;mso-fareast-font-family:宋体'><b>,</b></span><span
lang=EN-US style='mso-fareast-language:ZH-CN'><b>…</b></span><span
style='font-family:宋体;mso-fareast-font-family:宋体'><b>,</b></span><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-font-family:"Arial Unicode MS";mso-fareast-language:ZH-CN'><b>N</b></span><span
lang=EN-US style='mso-fareast-language:ZH-CN'><b>-</b></span><span lang=EN-US
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-font-family:"Arial Unicode MS";mso-fareast-language:ZH-CN'><b>1</b></span><span
style='font-family:宋体;mso-fareast-font-family:宋体'><b>,若都不能整除,则</b></span><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-font-family:"Arial Unicode MS";mso-fareast-language:ZH-CN'><b>N</b></span><span
style='font-family:宋体;mso-fareast-font-family:宋体'><b>为素数。因为</b></span><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-font-family:"Arial Unicode MS";mso-fareast-language:ZH-CN'><b>N=Sqr(N)*Sqr(N)</b></span><span
style='font-family:宋体;mso-fareast-font-family:宋体'><b>,所以,当</b></span><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-font-family:"Arial Unicode MS";mso-fareast-language:ZH-CN'><b>N</b></span><span
style='font-family:宋体;mso-fareast-font-family:宋体'><b>能被大于等于</b></span><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-font-family:"Arial Unicode MS";mso-fareast-language:ZH-CN'><b>Sqr(N)</b></span><span
style='font-family:宋体;mso-fareast-font-family:宋体'><b>的整数整除时,一定存在一个小于等于</b></span><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-font-family:"Arial Unicode MS";mso-fareast-language:ZH-CN'><b>Sqr(N)</b></span><span
style='font-family:宋体;mso-fareast-font-family:宋体'><b>的整数,使</b></span><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-font-family:"Arial Unicode MS";mso-fareast-language:ZH-CN'><b>N</b></span><span
style='font-family:宋体;mso-fareast-font-family:宋体'><b>能被它整除,因此只要判断</b></span><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-font-family:"Arial Unicode MS";mso-fareast-language:ZH-CN'><b>N</b></span><span
style='font-family:宋体;mso-fareast-font-family:宋体'><b>能否被</b></span><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-font-family:"Arial Unicode MS";mso-fareast-language:ZH-CN'><b>2</b></span><span
style='font-family:宋体;mso-fareast-font-family:宋体'><b>,</b></span><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-font-family:"Arial Unicode MS";mso-fareast-language:ZH-CN'><b>3</b></span><span
style='font-family:宋体;mso-fareast-font-family:宋体'><b>,</b></span><span
lang=EN-US style='mso-fareast-language:ZH-CN'><b>…</b></span><span
style='font-family:宋体;mso-fareast-font-family:宋体'><b>,</b></span><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-font-family:"Arial Unicode MS";mso-fareast-language:ZH-CN'><b>Sqr(N)</b></span><span
style='font-family:宋体;mso-fareast-font-family:宋体'><b>整除即可。 </b></span></div>
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