I recently stumbled upon this question and still can't figure out how to prove it. This is a GCSE question and it has never been this hard before.
\(k=2^p - 1\)
\(N = k^2 -1\)
Show that 2^(p+1) is a factor of N
Thanks in advance,
You say "Show that N is a factor of 2^(p+1)" ??. Are you sure it is not the reverse? That is:
Show that 2^(p+1) is a factor of N?