Prove that if http://stuff.daniel15.com/cgi-bin/mathtex.cgi?n is greater than http://stuff.daniel15.com/cgi-bin/mathtex.cgi?2 and divisible by http://stuff.daniel15.com/cgi-bin/mathtex.cgi?2, but not divisible by http://stuff.daniel15.com/cgi-bin/mathtex.cgi?4, then:

http://stuff.daniel15.com/cgi-bin/ma...Bn%7D%7B2%7D+1 is the remainder when http://stuff.daniel15.com/cgi-bin/ma...B2%7D+1%29%5Ek is divided by http://stuff.daniel15.com/cgi-bin/mathtex.cgi?n where http://stuff.daniel15.com/cgi-bin/mathtex.cgi?k is a natural number.