document.write( "Question 120635: Find a counterexample to the statement “The square of a number added to the sum of the number and five is a prime number” \n" ); document.write( "

Algebra.Com's Answer #88604 by Edwin McCravy(20054) $\"\"$ $\"About$

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Find a counterexample to the statement \r
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document.write( "By trial and error.\r\n" );
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document.write( "Try 1:\r\n" );
document.write( "\"The square of 1, which is 1, added to the sum of 1 and five, which is 6,\r\n" );
document.write( "is the prime number 7.\"\r\n" );
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document.write( "Nope, that's an example, not a counterexample.\r\n" );
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document.write( "Try 1:\r\n" );
document.write( "\"The square of 2, which is 4, added to the sum of 2 and five, which is 7,\r\n" );
document.write( "is the prime number 11.\"\r\n" );
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document.write( "Nope, that's an example, not a counterexample. \r\n" );
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document.write( "Try 3:\r\n" );
document.write( "\"The square of 3, which is 9, added to the sum of 3 and five, which is 8,\r\n" );
document.write( "is the prime number 17.\"\r\n" );
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document.write( "Nope, that's an example, not a counterexample.\r\n" );
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document.write( "Try 4:\r\n" );
document.write( "\"The square of 4, which is 16, added to the sum of 4 and five, which is 9,\r\n" );
document.write( "is 25, which IS NOT a prime number, since 25 is divisible by 5.\"\r\n" );
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document.write( "Yes, finally, a counterexample!\r\n" );
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document.write( "Edwin

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