
theorem
  7247 is prime
proof
  now
    7247 = 2*3623 + 1; hence not 2 divides 7247 by NAT_4:9;
    7247 = 3*2415 + 2; hence not 3 divides 7247 by NAT_4:9;
    7247 = 5*1449 + 2; hence not 5 divides 7247 by NAT_4:9;
    7247 = 7*1035 + 2; hence not 7 divides 7247 by NAT_4:9;
    7247 = 11*658 + 9; hence not 11 divides 7247 by NAT_4:9;
    7247 = 13*557 + 6; hence not 13 divides 7247 by NAT_4:9;
    7247 = 17*426 + 5; hence not 17 divides 7247 by NAT_4:9;
    7247 = 19*381 + 8; hence not 19 divides 7247 by NAT_4:9;
    7247 = 23*315 + 2; hence not 23 divides 7247 by NAT_4:9;
    7247 = 29*249 + 26; hence not 29 divides 7247 by NAT_4:9;
    7247 = 31*233 + 24; hence not 31 divides 7247 by NAT_4:9;
    7247 = 37*195 + 32; hence not 37 divides 7247 by NAT_4:9;
    7247 = 41*176 + 31; hence not 41 divides 7247 by NAT_4:9;
    7247 = 43*168 + 23; hence not 43 divides 7247 by NAT_4:9;
    7247 = 47*154 + 9; hence not 47 divides 7247 by NAT_4:9;
    7247 = 53*136 + 39; hence not 53 divides 7247 by NAT_4:9;
    7247 = 59*122 + 49; hence not 59 divides 7247 by NAT_4:9;
    7247 = 61*118 + 49; hence not 61 divides 7247 by NAT_4:9;
    7247 = 67*108 + 11; hence not 67 divides 7247 by NAT_4:9;
    7247 = 71*102 + 5; hence not 71 divides 7247 by NAT_4:9;
    7247 = 73*99 + 20; hence not 73 divides 7247 by NAT_4:9;
    7247 = 79*91 + 58; hence not 79 divides 7247 by NAT_4:9;
    7247 = 83*87 + 26; hence not 83 divides 7247 by NAT_4:9;
  end;
  then for n being Element of NAT st 1 < n & n*n <= 7247 & n is prime
  holds not n divides 7247 by XPRIMET1:46;
  hence thesis by NAT_4:14;
end;
