document.write( "Question 36211: a) For any prime p>=5, prove that p2+2 ( P square +2) is composite or not.
\n" ); document.write( "b) Find the smallest number n, which has the following properties:
\n" ); document.write( " 1).Its decimal represenation has 4 as the last digit;
\n" ); document.write( " 2).It is divisible by 3 and 8.
\n" ); document.write( " 3).Its a square number \n" ); document.write( "
Algebra.Com's Answer #22185 by venugopalramana(3286)\"\" \"About 
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a) For any prime p>=5, prove that p2+2 ( P square +2) is composite or not.
\n" ); document.write( "IT IS COMPOSITE
\n" ); document.write( "AT P=5,WE HAVE P^2+2=5^2+2=25+2=27..IVISIBLE BY 3 AN 9.
\n" ); document.write( "AT P=6,WE HAVE P^2+2=6^2+2=38...DIVISIBLE BY 2,19.\r
\n" ); document.write( "\n" ); document.write( "b) Find the smallest number n, which has the following properties:
\n" ); document.write( "1).Its decimal represenation has 4 as the last digit;
\n" ); document.write( "2).It is divisible by 3 and 8......LCM OF 3 AND 8 IS 24.
\n" ); document.write( "HENCE ANSWER SHOULD BE` A MULTIPLE OF 24
\n" ); document.write( "24*1=24...NOT A PERFECT SQUARE
\n" ); document.write( ".....
\n" ); document.write( "....
\n" ); document.write( "24*6=144..IS A PERFECT SQUARE AND IT HAS 4 AT THE END
\n" ); document.write( "SO 144 IS THE ANSWER.\r
\n" ); document.write( "\n" ); document.write( "3).Its a square number \n" ); document.write( "
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