reserve a,b,i,k,m,n for Nat;
reserve s,z for non zero Nat;
reserve r for Real;
reserve c for Complex;
reserve e1,e2,e3,e4,e5 for ExtReal;
reserve p for Prime;

theorem
  p*p <= k < 5329 implies
  p = 2 or p = 3 or p = 5 or p = 7 or p = 11 or p = 13 or p = 17 or p = 19 or
  p = 23 or p = 29 or p = 31 or p = 37 or p = 41 or p = 43 or p = 47 or p = 53
  or p = 59 or p = 61 or p = 67 or p = 71
  proof
    assume p*p <= k < 5329;
    then p*p < 73*73 by XXREAL_0:2;
    hence thesis by Th39,NAT_4:1;
  end;
