document.write( "Question 1129772: How many positive integers k less than 289 are there such that k^2+6k+7 is divisible by 289? \n" ); document.write( "

Algebra.Com's Answer #746430 by math_helper(2461) $\"\"$ $\"About$

You can put this solution on YOUR website!
I found 2, using brute force.
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\n" ); document.write( "perl -e 'for($i=1;$i<289;$i++) { $v = $i*$i + 6*$i +7; if ($v % 289 == 0) {print \"$i\n\";} } '
\n" ); document.write( "42
\n" ); document.write( "241
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