document.write( "Question 898378: find the smallest prime number dividing the sum 3^11 + 5^13 \n" ); document.write( "
Algebra.Com's Answer #555434 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Facts:\r\n" );
document.write( "Any product of odd numbers is odd.\r\n" );
document.write( "The sum of two odd numbers is even.\r\n" );
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document.write( "311 and 513 are both the product of odd numbers, \r\n" );
document.write( "so they are both odd\r\n" );
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document.write( "So 311 + 513 is the sum of two odd numbers and \r\n" );
document.write( "is therefore even.\r\n" );
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document.write( "Any even number is divisible by 2. Therefore 2 is the smallest prime\r\n" );
document.write( "that divides 311 + 513.  [In fact, 2 is the\r\n" );
document.write( "smallest prime, period!] \r\n" );
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document.write( "[In fact 311 + 513 = 1220880272 = 24*47*107*15173, but we don't need that!)\r\n" );
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document.write( "Edwin
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