
theorem
  6203 is prime
proof
  now
    6203 = 2*3101 + 1; hence not 2 divides 6203 by NAT_4:9;
    6203 = 3*2067 + 2; hence not 3 divides 6203 by NAT_4:9;
    6203 = 5*1240 + 3; hence not 5 divides 6203 by NAT_4:9;
    6203 = 7*886 + 1; hence not 7 divides 6203 by NAT_4:9;
    6203 = 11*563 + 10; hence not 11 divides 6203 by NAT_4:9;
    6203 = 13*477 + 2; hence not 13 divides 6203 by NAT_4:9;
    6203 = 17*364 + 15; hence not 17 divides 6203 by NAT_4:9;
    6203 = 19*326 + 9; hence not 19 divides 6203 by NAT_4:9;
    6203 = 23*269 + 16; hence not 23 divides 6203 by NAT_4:9;
    6203 = 29*213 + 26; hence not 29 divides 6203 by NAT_4:9;
    6203 = 31*200 + 3; hence not 31 divides 6203 by NAT_4:9;
    6203 = 37*167 + 24; hence not 37 divides 6203 by NAT_4:9;
    6203 = 41*151 + 12; hence not 41 divides 6203 by NAT_4:9;
    6203 = 43*144 + 11; hence not 43 divides 6203 by NAT_4:9;
    6203 = 47*131 + 46; hence not 47 divides 6203 by NAT_4:9;
    6203 = 53*117 + 2; hence not 53 divides 6203 by NAT_4:9;
    6203 = 59*105 + 8; hence not 59 divides 6203 by NAT_4:9;
    6203 = 61*101 + 42; hence not 61 divides 6203 by NAT_4:9;
    6203 = 67*92 + 39; hence not 67 divides 6203 by NAT_4:9;
    6203 = 71*87 + 26; hence not 71 divides 6203 by NAT_4:9;
    6203 = 73*84 + 71; hence not 73 divides 6203 by NAT_4:9;
  end;
  then for n being Element of NAT st 1 < n & n*n <= 6203 & n is prime
  holds not n divides 6203 by XPRIMET1:42;
  hence thesis by NAT_4:14;
end;
