
theorem
  4483 is prime
proof
  now
    4483 = 2*2241 + 1; hence not 2 divides 4483 by NAT_4:9;
    4483 = 3*1494 + 1; hence not 3 divides 4483 by NAT_4:9;
    4483 = 5*896 + 3; hence not 5 divides 4483 by NAT_4:9;
    4483 = 7*640 + 3; hence not 7 divides 4483 by NAT_4:9;
    4483 = 11*407 + 6; hence not 11 divides 4483 by NAT_4:9;
    4483 = 13*344 + 11; hence not 13 divides 4483 by NAT_4:9;
    4483 = 17*263 + 12; hence not 17 divides 4483 by NAT_4:9;
    4483 = 19*235 + 18; hence not 19 divides 4483 by NAT_4:9;
    4483 = 23*194 + 21; hence not 23 divides 4483 by NAT_4:9;
    4483 = 29*154 + 17; hence not 29 divides 4483 by NAT_4:9;
    4483 = 31*144 + 19; hence not 31 divides 4483 by NAT_4:9;
    4483 = 37*121 + 6; hence not 37 divides 4483 by NAT_4:9;
    4483 = 41*109 + 14; hence not 41 divides 4483 by NAT_4:9;
    4483 = 43*104 + 11; hence not 43 divides 4483 by NAT_4:9;
    4483 = 47*95 + 18; hence not 47 divides 4483 by NAT_4:9;
    4483 = 53*84 + 31; hence not 53 divides 4483 by NAT_4:9;
    4483 = 59*75 + 58; hence not 59 divides 4483 by NAT_4:9;
    4483 = 61*73 + 30; hence not 61 divides 4483 by NAT_4:9;
  end;
  then for n being Element of NAT st 1 < n & n*n <= 4483 & n is prime
  holds not n divides 4483 by XPRIMET1:36;
  hence thesis by NAT_4:14;
end;
