
theorem
  7481 is prime
proof
  now
    7481 = 2*3740 + 1; hence not 2 divides 7481 by NAT_4:9;
    7481 = 3*2493 + 2; hence not 3 divides 7481 by NAT_4:9;
    7481 = 5*1496 + 1; hence not 5 divides 7481 by NAT_4:9;
    7481 = 7*1068 + 5; hence not 7 divides 7481 by NAT_4:9;
    7481 = 11*680 + 1; hence not 11 divides 7481 by NAT_4:9;
    7481 = 13*575 + 6; hence not 13 divides 7481 by NAT_4:9;
    7481 = 17*440 + 1; hence not 17 divides 7481 by NAT_4:9;
    7481 = 19*393 + 14; hence not 19 divides 7481 by NAT_4:9;
    7481 = 23*325 + 6; hence not 23 divides 7481 by NAT_4:9;
    7481 = 29*257 + 28; hence not 29 divides 7481 by NAT_4:9;
    7481 = 31*241 + 10; hence not 31 divides 7481 by NAT_4:9;
    7481 = 37*202 + 7; hence not 37 divides 7481 by NAT_4:9;
    7481 = 41*182 + 19; hence not 41 divides 7481 by NAT_4:9;
    7481 = 43*173 + 42; hence not 43 divides 7481 by NAT_4:9;
    7481 = 47*159 + 8; hence not 47 divides 7481 by NAT_4:9;
    7481 = 53*141 + 8; hence not 53 divides 7481 by NAT_4:9;
    7481 = 59*126 + 47; hence not 59 divides 7481 by NAT_4:9;
    7481 = 61*122 + 39; hence not 61 divides 7481 by NAT_4:9;
    7481 = 67*111 + 44; hence not 67 divides 7481 by NAT_4:9;
    7481 = 71*105 + 26; hence not 71 divides 7481 by NAT_4:9;
    7481 = 73*102 + 35; hence not 73 divides 7481 by NAT_4:9;
    7481 = 79*94 + 55; hence not 79 divides 7481 by NAT_4:9;
    7481 = 83*90 + 11; hence not 83 divides 7481 by NAT_4:9;
  end;
  then for n being Element of NAT st 1 < n & n*n <= 7481 & n is prime
  holds not n divides 7481 by XPRIMET1:46;
  hence thesis by NAT_4:14;
end;
