
theorem
  9067 is prime
proof
  now
    9067 = 2*4533 + 1; hence not 2 divides 9067 by NAT_4:9;
    9067 = 3*3022 + 1; hence not 3 divides 9067 by NAT_4:9;
    9067 = 5*1813 + 2; hence not 5 divides 9067 by NAT_4:9;
    9067 = 7*1295 + 2; hence not 7 divides 9067 by NAT_4:9;
    9067 = 11*824 + 3; hence not 11 divides 9067 by NAT_4:9;
    9067 = 13*697 + 6; hence not 13 divides 9067 by NAT_4:9;
    9067 = 17*533 + 6; hence not 17 divides 9067 by NAT_4:9;
    9067 = 19*477 + 4; hence not 19 divides 9067 by NAT_4:9;
    9067 = 23*394 + 5; hence not 23 divides 9067 by NAT_4:9;
    9067 = 29*312 + 19; hence not 29 divides 9067 by NAT_4:9;
    9067 = 31*292 + 15; hence not 31 divides 9067 by NAT_4:9;
    9067 = 37*245 + 2; hence not 37 divides 9067 by NAT_4:9;
    9067 = 41*221 + 6; hence not 41 divides 9067 by NAT_4:9;
    9067 = 43*210 + 37; hence not 43 divides 9067 by NAT_4:9;
    9067 = 47*192 + 43; hence not 47 divides 9067 by NAT_4:9;
    9067 = 53*171 + 4; hence not 53 divides 9067 by NAT_4:9;
    9067 = 59*153 + 40; hence not 59 divides 9067 by NAT_4:9;
    9067 = 61*148 + 39; hence not 61 divides 9067 by NAT_4:9;
    9067 = 67*135 + 22; hence not 67 divides 9067 by NAT_4:9;
    9067 = 71*127 + 50; hence not 71 divides 9067 by NAT_4:9;
    9067 = 73*124 + 15; hence not 73 divides 9067 by NAT_4:9;
    9067 = 79*114 + 61; hence not 79 divides 9067 by NAT_4:9;
    9067 = 83*109 + 20; hence not 83 divides 9067 by NAT_4:9;
    9067 = 89*101 + 78; hence not 89 divides 9067 by NAT_4:9;
  end;
  then for n being Element of NAT st 1 < n & n*n <= 9067 & n is prime
  holds not n divides 9067 by XPRIMET1:48;
  hence thesis by NAT_4:14;
end;
