
theorem
  5483 is prime
proof
  now
    5483 = 2*2741 + 1; hence not 2 divides 5483 by NAT_4:9;
    5483 = 3*1827 + 2; hence not 3 divides 5483 by NAT_4:9;
    5483 = 5*1096 + 3; hence not 5 divides 5483 by NAT_4:9;
    5483 = 7*783 + 2; hence not 7 divides 5483 by NAT_4:9;
    5483 = 11*498 + 5; hence not 11 divides 5483 by NAT_4:9;
    5483 = 13*421 + 10; hence not 13 divides 5483 by NAT_4:9;
    5483 = 17*322 + 9; hence not 17 divides 5483 by NAT_4:9;
    5483 = 19*288 + 11; hence not 19 divides 5483 by NAT_4:9;
    5483 = 23*238 + 9; hence not 23 divides 5483 by NAT_4:9;
    5483 = 29*189 + 2; hence not 29 divides 5483 by NAT_4:9;
    5483 = 31*176 + 27; hence not 31 divides 5483 by NAT_4:9;
    5483 = 37*148 + 7; hence not 37 divides 5483 by NAT_4:9;
    5483 = 41*133 + 30; hence not 41 divides 5483 by NAT_4:9;
    5483 = 43*127 + 22; hence not 43 divides 5483 by NAT_4:9;
    5483 = 47*116 + 31; hence not 47 divides 5483 by NAT_4:9;
    5483 = 53*103 + 24; hence not 53 divides 5483 by NAT_4:9;
    5483 = 59*92 + 55; hence not 59 divides 5483 by NAT_4:9;
    5483 = 61*89 + 54; hence not 61 divides 5483 by NAT_4:9;
    5483 = 67*81 + 56; hence not 67 divides 5483 by NAT_4:9;
    5483 = 71*77 + 16; hence not 71 divides 5483 by NAT_4:9;
    5483 = 73*75 + 8; hence not 73 divides 5483 by NAT_4:9;
  end;
  then for n being Element of NAT st 1 < n & n*n <= 5483 & n is prime
  holds not n divides 5483 by XPRIMET1:42;
  hence thesis by NAT_4:14;
end;
