
theorem
  6067 is prime
proof
  now
    6067 = 2*3033 + 1; hence not 2 divides 6067 by NAT_4:9;
    6067 = 3*2022 + 1; hence not 3 divides 6067 by NAT_4:9;
    6067 = 5*1213 + 2; hence not 5 divides 6067 by NAT_4:9;
    6067 = 7*866 + 5; hence not 7 divides 6067 by NAT_4:9;
    6067 = 11*551 + 6; hence not 11 divides 6067 by NAT_4:9;
    6067 = 13*466 + 9; hence not 13 divides 6067 by NAT_4:9;
    6067 = 17*356 + 15; hence not 17 divides 6067 by NAT_4:9;
    6067 = 19*319 + 6; hence not 19 divides 6067 by NAT_4:9;
    6067 = 23*263 + 18; hence not 23 divides 6067 by NAT_4:9;
    6067 = 29*209 + 6; hence not 29 divides 6067 by NAT_4:9;
    6067 = 31*195 + 22; hence not 31 divides 6067 by NAT_4:9;
    6067 = 37*163 + 36; hence not 37 divides 6067 by NAT_4:9;
    6067 = 41*147 + 40; hence not 41 divides 6067 by NAT_4:9;
    6067 = 43*141 + 4; hence not 43 divides 6067 by NAT_4:9;
    6067 = 47*129 + 4; hence not 47 divides 6067 by NAT_4:9;
    6067 = 53*114 + 25; hence not 53 divides 6067 by NAT_4:9;
    6067 = 59*102 + 49; hence not 59 divides 6067 by NAT_4:9;
    6067 = 61*99 + 28; hence not 61 divides 6067 by NAT_4:9;
    6067 = 67*90 + 37; hence not 67 divides 6067 by NAT_4:9;
    6067 = 71*85 + 32; hence not 71 divides 6067 by NAT_4:9;
    6067 = 73*83 + 8; hence not 73 divides 6067 by NAT_4:9;
  end;
  then for n being Element of NAT st 1 < n & n*n <= 6067 & n is prime
  holds not n divides 6067 by XPRIMET1:42;
  hence thesis by NAT_4:14;
end;
