
theorem
  6053 is prime
proof
  now
    6053 = 2*3026 + 1; hence not 2 divides 6053 by NAT_4:9;
    6053 = 3*2017 + 2; hence not 3 divides 6053 by NAT_4:9;
    6053 = 5*1210 + 3; hence not 5 divides 6053 by NAT_4:9;
    6053 = 7*864 + 5; hence not 7 divides 6053 by NAT_4:9;
    6053 = 11*550 + 3; hence not 11 divides 6053 by NAT_4:9;
    6053 = 13*465 + 8; hence not 13 divides 6053 by NAT_4:9;
    6053 = 17*356 + 1; hence not 17 divides 6053 by NAT_4:9;
    6053 = 19*318 + 11; hence not 19 divides 6053 by NAT_4:9;
    6053 = 23*263 + 4; hence not 23 divides 6053 by NAT_4:9;
    6053 = 29*208 + 21; hence not 29 divides 6053 by NAT_4:9;
    6053 = 31*195 + 8; hence not 31 divides 6053 by NAT_4:9;
    6053 = 37*163 + 22; hence not 37 divides 6053 by NAT_4:9;
    6053 = 41*147 + 26; hence not 41 divides 6053 by NAT_4:9;
    6053 = 43*140 + 33; hence not 43 divides 6053 by NAT_4:9;
    6053 = 47*128 + 37; hence not 47 divides 6053 by NAT_4:9;
    6053 = 53*114 + 11; hence not 53 divides 6053 by NAT_4:9;
    6053 = 59*102 + 35; hence not 59 divides 6053 by NAT_4:9;
    6053 = 61*99 + 14; hence not 61 divides 6053 by NAT_4:9;
    6053 = 67*90 + 23; hence not 67 divides 6053 by NAT_4:9;
    6053 = 71*85 + 18; hence not 71 divides 6053 by NAT_4:9;
    6053 = 73*82 + 67; hence not 73 divides 6053 by NAT_4:9;
  end;
  then for n being Element of NAT st 1 < n & n*n <= 6053 & n is prime
  holds not n divides 6053 by XPRIMET1:42;
  hence thesis by NAT_4:14;
end;
