Find the remainder Y when 12^190 is divided by 1729 ?
Choose the correct choice from the following:  A) 12  B) 1  C) 1728  D) 1717  E) 4
12^(190) can be written as. ((12^3)^63)* 12. 12^3 when divided by 1729 gives a remainder Y -1. so in the numerator we have -12. Now acccording to remainder theorm the answer will be 1729-12=1717.1717
<result>D</result>
Find the remainder Y when 12^190 is divided by 1729 ?