document.write( "Question 1005057: Prove that for any prime k>2, some prime k-2 or k+2 exists. \n" ); document.write( "
Algebra.Com's Answer #621368 by ikleyn(52803)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Your statement is wrong.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Indeed, consider the prime k = 23.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "k-2 = 21 is not prime.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "k+2 = 25 is not prime.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |