
theorem
  6079 is prime
proof
  now
    6079 = 2*3039 + 1; hence not 2 divides 6079 by NAT_4:9;
    6079 = 3*2026 + 1; hence not 3 divides 6079 by NAT_4:9;
    6079 = 5*1215 + 4; hence not 5 divides 6079 by NAT_4:9;
    6079 = 7*868 + 3; hence not 7 divides 6079 by NAT_4:9;
    6079 = 11*552 + 7; hence not 11 divides 6079 by NAT_4:9;
    6079 = 13*467 + 8; hence not 13 divides 6079 by NAT_4:9;
    6079 = 17*357 + 10; hence not 17 divides 6079 by NAT_4:9;
    6079 = 19*319 + 18; hence not 19 divides 6079 by NAT_4:9;
    6079 = 23*264 + 7; hence not 23 divides 6079 by NAT_4:9;
    6079 = 29*209 + 18; hence not 29 divides 6079 by NAT_4:9;
    6079 = 31*196 + 3; hence not 31 divides 6079 by NAT_4:9;
    6079 = 37*164 + 11; hence not 37 divides 6079 by NAT_4:9;
    6079 = 41*148 + 11; hence not 41 divides 6079 by NAT_4:9;
    6079 = 43*141 + 16; hence not 43 divides 6079 by NAT_4:9;
    6079 = 47*129 + 16; hence not 47 divides 6079 by NAT_4:9;
    6079 = 53*114 + 37; hence not 53 divides 6079 by NAT_4:9;
    6079 = 59*103 + 2; hence not 59 divides 6079 by NAT_4:9;
    6079 = 61*99 + 40; hence not 61 divides 6079 by NAT_4:9;
    6079 = 67*90 + 49; hence not 67 divides 6079 by NAT_4:9;
    6079 = 71*85 + 44; hence not 71 divides 6079 by NAT_4:9;
    6079 = 73*83 + 20; hence not 73 divides 6079 by NAT_4:9;
  end;
  then for n being Element of NAT st 1 < n & n*n <= 6079 & n is prime
  holds not n divides 6079 by XPRIMET1:42;
  hence thesis by NAT_4:14;
end;
