
theorem
  7283 is prime
proof
  now
    7283 = 2*3641 + 1; hence not 2 divides 7283 by NAT_4:9;
    7283 = 3*2427 + 2; hence not 3 divides 7283 by NAT_4:9;
    7283 = 5*1456 + 3; hence not 5 divides 7283 by NAT_4:9;
    7283 = 7*1040 + 3; hence not 7 divides 7283 by NAT_4:9;
    7283 = 11*662 + 1; hence not 11 divides 7283 by NAT_4:9;
    7283 = 13*560 + 3; hence not 13 divides 7283 by NAT_4:9;
    7283 = 17*428 + 7; hence not 17 divides 7283 by NAT_4:9;
    7283 = 19*383 + 6; hence not 19 divides 7283 by NAT_4:9;
    7283 = 23*316 + 15; hence not 23 divides 7283 by NAT_4:9;
    7283 = 29*251 + 4; hence not 29 divides 7283 by NAT_4:9;
    7283 = 31*234 + 29; hence not 31 divides 7283 by NAT_4:9;
    7283 = 37*196 + 31; hence not 37 divides 7283 by NAT_4:9;
    7283 = 41*177 + 26; hence not 41 divides 7283 by NAT_4:9;
    7283 = 43*169 + 16; hence not 43 divides 7283 by NAT_4:9;
    7283 = 47*154 + 45; hence not 47 divides 7283 by NAT_4:9;
    7283 = 53*137 + 22; hence not 53 divides 7283 by NAT_4:9;
    7283 = 59*123 + 26; hence not 59 divides 7283 by NAT_4:9;
    7283 = 61*119 + 24; hence not 61 divides 7283 by NAT_4:9;
    7283 = 67*108 + 47; hence not 67 divides 7283 by NAT_4:9;
    7283 = 71*102 + 41; hence not 71 divides 7283 by NAT_4:9;
    7283 = 73*99 + 56; hence not 73 divides 7283 by NAT_4:9;
    7283 = 79*92 + 15; hence not 79 divides 7283 by NAT_4:9;
    7283 = 83*87 + 62; hence not 83 divides 7283 by NAT_4:9;
  end;
  then for n being Element of NAT st 1 < n & n*n <= 7283 & n is prime
  holds not n divides 7283 by XPRIMET1:46;
  hence thesis by NAT_4:14;
end;
