document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=105738>Question 105738</A>: <I><SPAN STYLE=\"word-break: break-all;\"> List all the prime numbers between 55-75. I am confused about Prime Numbers, exactly what are they in plain ole english could someone please explain. Thanks, Zack </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #76907 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=76907\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A prime number is a number that can only be divided by itself or 1 to get an integer as<BR>\n" );
document.write( "an answer.  For example is 3 a prime number? Yes it is because it can only be divided<BR>\n" );
document.write( "by 3 and 1 to get an integer as an answer. How about 6 ... is it a prime number? No it is<BR>\n" );
document.write( "not because it can be divided by 6, by 1, by 3, and by 2 and each of those divisions<BR>\n" );
document.write( "results in an integer as an answer.<BR>\n" );
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document.write( "You are to find all the prime numbers between 55 and 75. Note that both 55 and 75 are not<BR>\n" );
document.write( "prime numbers because both can be divided by 5.<BR>\n" );
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document.write( "56 is not prime ... it can be divided by 2. From this you can deduce that any even number (except 2) <BR>\n" );
document.write( "is not a prime because it can be divided by 2.  Therefore, only odd numbers can be a prime<BR>\n" );
document.write( "and every odd number is not a prime. And any number that ends in 5 is not prime because it<BR>\n" );
document.write( "can be divided by 5 and produce a quotient that is an integer. (2 is an exception <BR>\n" );
document.write( "to this rule. It is prime because even though it is even, it can only be divided by itself<BR>\n" );
document.write( "and 1 ... so it fits the definition of prime.)<BR>\n" );
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document.write( "The prime numbers between 55 and 75 are: 59, 61, 67, 71, and 73. Any other numbers in<BR>\n" );
document.write( "this range are divisible by something other than themselves and 1. Any of the other numbers<BR>\n" );
document.write( "in this range have at least a 2 or a 3 or a 5 as a divisor.<BR>\n" );
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document.write( "Hope this clarifies the term \"prime\" for you and helps you to see your way through the<BR>\n" );
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