
theorem
  7207 is prime
proof
  now
    7207 = 2*3603 + 1; hence not 2 divides 7207 by NAT_4:9;
    7207 = 3*2402 + 1; hence not 3 divides 7207 by NAT_4:9;
    7207 = 5*1441 + 2; hence not 5 divides 7207 by NAT_4:9;
    7207 = 7*1029 + 4; hence not 7 divides 7207 by NAT_4:9;
    7207 = 11*655 + 2; hence not 11 divides 7207 by NAT_4:9;
    7207 = 13*554 + 5; hence not 13 divides 7207 by NAT_4:9;
    7207 = 17*423 + 16; hence not 17 divides 7207 by NAT_4:9;
    7207 = 19*379 + 6; hence not 19 divides 7207 by NAT_4:9;
    7207 = 23*313 + 8; hence not 23 divides 7207 by NAT_4:9;
    7207 = 29*248 + 15; hence not 29 divides 7207 by NAT_4:9;
    7207 = 31*232 + 15; hence not 31 divides 7207 by NAT_4:9;
    7207 = 37*194 + 29; hence not 37 divides 7207 by NAT_4:9;
    7207 = 41*175 + 32; hence not 41 divides 7207 by NAT_4:9;
    7207 = 43*167 + 26; hence not 43 divides 7207 by NAT_4:9;
    7207 = 47*153 + 16; hence not 47 divides 7207 by NAT_4:9;
    7207 = 53*135 + 52; hence not 53 divides 7207 by NAT_4:9;
    7207 = 59*122 + 9; hence not 59 divides 7207 by NAT_4:9;
    7207 = 61*118 + 9; hence not 61 divides 7207 by NAT_4:9;
    7207 = 67*107 + 38; hence not 67 divides 7207 by NAT_4:9;
    7207 = 71*101 + 36; hence not 71 divides 7207 by NAT_4:9;
    7207 = 73*98 + 53; hence not 73 divides 7207 by NAT_4:9;
    7207 = 79*91 + 18; hence not 79 divides 7207 by NAT_4:9;
    7207 = 83*86 + 69; hence not 83 divides 7207 by NAT_4:9;
  end;
  then for n being Element of NAT st 1 < n & n*n <= 7207 & n is prime
  holds not n divides 7207 by XPRIMET1:46;
  hence thesis by NAT_4:14;
end;
