
theorem
  9467 is prime
proof
  now
    9467 = 2*4733 + 1; hence not 2 divides 9467 by NAT_4:9;
    9467 = 3*3155 + 2; hence not 3 divides 9467 by NAT_4:9;
    9467 = 5*1893 + 2; hence not 5 divides 9467 by NAT_4:9;
    9467 = 7*1352 + 3; hence not 7 divides 9467 by NAT_4:9;
    9467 = 11*860 + 7; hence not 11 divides 9467 by NAT_4:9;
    9467 = 13*728 + 3; hence not 13 divides 9467 by NAT_4:9;
    9467 = 17*556 + 15; hence not 17 divides 9467 by NAT_4:9;
    9467 = 19*498 + 5; hence not 19 divides 9467 by NAT_4:9;
    9467 = 23*411 + 14; hence not 23 divides 9467 by NAT_4:9;
    9467 = 29*326 + 13; hence not 29 divides 9467 by NAT_4:9;
    9467 = 31*305 + 12; hence not 31 divides 9467 by NAT_4:9;
    9467 = 37*255 + 32; hence not 37 divides 9467 by NAT_4:9;
    9467 = 41*230 + 37; hence not 41 divides 9467 by NAT_4:9;
    9467 = 43*220 + 7; hence not 43 divides 9467 by NAT_4:9;
    9467 = 47*201 + 20; hence not 47 divides 9467 by NAT_4:9;
    9467 = 53*178 + 33; hence not 53 divides 9467 by NAT_4:9;
    9467 = 59*160 + 27; hence not 59 divides 9467 by NAT_4:9;
    9467 = 61*155 + 12; hence not 61 divides 9467 by NAT_4:9;
    9467 = 67*141 + 20; hence not 67 divides 9467 by NAT_4:9;
    9467 = 71*133 + 24; hence not 71 divides 9467 by NAT_4:9;
    9467 = 73*129 + 50; hence not 73 divides 9467 by NAT_4:9;
    9467 = 79*119 + 66; hence not 79 divides 9467 by NAT_4:9;
    9467 = 83*114 + 5; hence not 83 divides 9467 by NAT_4:9;
    9467 = 89*106 + 33; hence not 89 divides 9467 by NAT_4:9;
    9467 = 97*97 + 58; hence not 97 divides 9467 by NAT_4:9;
  end;
  then for n being Element of NAT st 1 < n & n*n <= 9467 & n is prime
  holds not n divides 9467 by XPRIMET1:50;
  hence thesis by NAT_4:14;
end;
