Question Number 102491 by pticantor last updated on 09/Jul/20

  Lets p ∈N and n∈N^∗   A_n =2^n +p and d_n =PGCD(A_n ,A_(n+1) )  1) show that  d_n /2^n   2)determine the parity of A_n  as a function of that of p  3)determine the parity of d_n  as a function of that of p  4)deduce pgcd(2^(2009) +2009,2^(2010) +2009)