
theorem
  2063 is prime
proof
  now
    2063 = 2*1031 + 1; hence not 2 divides 2063 by NAT_4:9;
    2063 = 3*687 + 2; hence not 3 divides 2063 by NAT_4:9;
    2063 = 5*412 + 3; hence not 5 divides 2063 by NAT_4:9;
    2063 = 7*294 + 5; hence not 7 divides 2063 by NAT_4:9;
    2063 = 11*187 + 6; hence not 11 divides 2063 by NAT_4:9;
    2063 = 13*158 + 9; hence not 13 divides 2063 by NAT_4:9;
    2063 = 17*121 + 6; hence not 17 divides 2063 by NAT_4:9;
    2063 = 19*108 + 11; hence not 19 divides 2063 by NAT_4:9;
    2063 = 23*89 + 16; hence not 23 divides 2063 by NAT_4:9;
    2063 = 29*71 + 4; hence not 29 divides 2063 by NAT_4:9;
    2063 = 31*66 + 17; hence not 31 divides 2063 by NAT_4:9;
    2063 = 37*55 + 28; hence not 37 divides 2063 by NAT_4:9;
    2063 = 41*50 + 13; hence not 41 divides 2063 by NAT_4:9;
    2063 = 43*47 + 42; hence not 43 divides 2063 by NAT_4:9;
  end;
  then for n being Element of NAT st 1 < n & n*n <= 2063 & n is prime
  holds not n divides 2063 by XPRIMET1:28;
  hence thesis by NAT_4:14;
end;
