
theorem
  9479 is prime
proof
  now
    9479 = 2*4739 + 1; hence not 2 divides 9479 by NAT_4:9;
    9479 = 3*3159 + 2; hence not 3 divides 9479 by NAT_4:9;
    9479 = 5*1895 + 4; hence not 5 divides 9479 by NAT_4:9;
    9479 = 7*1354 + 1; hence not 7 divides 9479 by NAT_4:9;
    9479 = 11*861 + 8; hence not 11 divides 9479 by NAT_4:9;
    9479 = 13*729 + 2; hence not 13 divides 9479 by NAT_4:9;
    9479 = 17*557 + 10; hence not 17 divides 9479 by NAT_4:9;
    9479 = 19*498 + 17; hence not 19 divides 9479 by NAT_4:9;
    9479 = 23*412 + 3; hence not 23 divides 9479 by NAT_4:9;
    9479 = 29*326 + 25; hence not 29 divides 9479 by NAT_4:9;
    9479 = 31*305 + 24; hence not 31 divides 9479 by NAT_4:9;
    9479 = 37*256 + 7; hence not 37 divides 9479 by NAT_4:9;
    9479 = 41*231 + 8; hence not 41 divides 9479 by NAT_4:9;
    9479 = 43*220 + 19; hence not 43 divides 9479 by NAT_4:9;
    9479 = 47*201 + 32; hence not 47 divides 9479 by NAT_4:9;
    9479 = 53*178 + 45; hence not 53 divides 9479 by NAT_4:9;
    9479 = 59*160 + 39; hence not 59 divides 9479 by NAT_4:9;
    9479 = 61*155 + 24; hence not 61 divides 9479 by NAT_4:9;
    9479 = 67*141 + 32; hence not 67 divides 9479 by NAT_4:9;
    9479 = 71*133 + 36; hence not 71 divides 9479 by NAT_4:9;
    9479 = 73*129 + 62; hence not 73 divides 9479 by NAT_4:9;
    9479 = 79*119 + 78; hence not 79 divides 9479 by NAT_4:9;
    9479 = 83*114 + 17; hence not 83 divides 9479 by NAT_4:9;
    9479 = 89*106 + 45; hence not 89 divides 9479 by NAT_4:9;
    9479 = 97*97 + 70; hence not 97 divides 9479 by NAT_4:9;
  end;
  then for n being Element of NAT st 1 < n & n*n <= 9479 & n is prime
  holds not n divides 9479 by XPRIMET1:50;
  hence thesis by NAT_4:14;
end;
