
theorem
  6043 is prime
proof
  now
    6043 = 2*3021 + 1; hence not 2 divides 6043 by NAT_4:9;
    6043 = 3*2014 + 1; hence not 3 divides 6043 by NAT_4:9;
    6043 = 5*1208 + 3; hence not 5 divides 6043 by NAT_4:9;
    6043 = 7*863 + 2; hence not 7 divides 6043 by NAT_4:9;
    6043 = 11*549 + 4; hence not 11 divides 6043 by NAT_4:9;
    6043 = 13*464 + 11; hence not 13 divides 6043 by NAT_4:9;
    6043 = 17*355 + 8; hence not 17 divides 6043 by NAT_4:9;
    6043 = 19*318 + 1; hence not 19 divides 6043 by NAT_4:9;
    6043 = 23*262 + 17; hence not 23 divides 6043 by NAT_4:9;
    6043 = 29*208 + 11; hence not 29 divides 6043 by NAT_4:9;
    6043 = 31*194 + 29; hence not 31 divides 6043 by NAT_4:9;
    6043 = 37*163 + 12; hence not 37 divides 6043 by NAT_4:9;
    6043 = 41*147 + 16; hence not 41 divides 6043 by NAT_4:9;
    6043 = 43*140 + 23; hence not 43 divides 6043 by NAT_4:9;
    6043 = 47*128 + 27; hence not 47 divides 6043 by NAT_4:9;
    6043 = 53*114 + 1; hence not 53 divides 6043 by NAT_4:9;
    6043 = 59*102 + 25; hence not 59 divides 6043 by NAT_4:9;
    6043 = 61*99 + 4; hence not 61 divides 6043 by NAT_4:9;
    6043 = 67*90 + 13; hence not 67 divides 6043 by NAT_4:9;
    6043 = 71*85 + 8; hence not 71 divides 6043 by NAT_4:9;
    6043 = 73*82 + 57; hence not 73 divides 6043 by NAT_4:9;
  end;
  then for n being Element of NAT st 1 < n & n*n <= 6043 & n is prime
  holds not n divides 6043 by XPRIMET1:42;
  hence thesis by NAT_4:14;
end;
