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Vahagn Khachatryan
2014-11-11 12:42:09 +04:00
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<h2>Semiprimes</h2><div class="info" style="cursor:help;width:200px;margin-bottom:10px;"><h3>Problem 187</h3><span style="width:300px;color:#666;">Published on Saturday, 22nd March 2008, 09:00 am; Solved by 5844</span></div>
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<p>A composite is a number containing at least two prime factors. For example, 15 = 3 <img src='images/symbol_times.gif' width='9' height='9' alt='&times;' border='0' style='vertical-align:middle;' /> 5; 9 = 3 <img src='images/symbol_times.gif' width='9' height='9' alt='&times;' border='0' style='vertical-align:middle;' /> 3; 12 = 2 <img src='images/symbol_times.gif' width='9' height='9' alt='&times;' border='0' style='vertical-align:middle;' /> 2 <img src='images/symbol_times.gif' width='9' height='9' alt='&times;' border='0' style='vertical-align:middle;' /> 3.</p>
<p>There are ten composites below thirty containing precisely two, not necessarily distinct, prime factors:
4, 6, 9, 10, 14, 15, 21, 22, 25, 26.</p>
<p>How many composite integers, <var>n</var> <img src='images/symbol_lt.gif' width='10' height='10' alt='&lt;' border='0' style='vertical-align:middle;' /> 10<sup>8</sup>, have precisely two, not necessarily distinct, prime factors?</p>
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