
theorem
  4933 is prime
proof
  now
    4933 = 2*2466 + 1; hence not 2 divides 4933 by NAT_4:9;
    4933 = 3*1644 + 1; hence not 3 divides 4933 by NAT_4:9;
    4933 = 5*986 + 3; hence not 5 divides 4933 by NAT_4:9;
    4933 = 7*704 + 5; hence not 7 divides 4933 by NAT_4:9;
    4933 = 11*448 + 5; hence not 11 divides 4933 by NAT_4:9;
    4933 = 13*379 + 6; hence not 13 divides 4933 by NAT_4:9;
    4933 = 17*290 + 3; hence not 17 divides 4933 by NAT_4:9;
    4933 = 19*259 + 12; hence not 19 divides 4933 by NAT_4:9;
    4933 = 23*214 + 11; hence not 23 divides 4933 by NAT_4:9;
    4933 = 29*170 + 3; hence not 29 divides 4933 by NAT_4:9;
    4933 = 31*159 + 4; hence not 31 divides 4933 by NAT_4:9;
    4933 = 37*133 + 12; hence not 37 divides 4933 by NAT_4:9;
    4933 = 41*120 + 13; hence not 41 divides 4933 by NAT_4:9;
    4933 = 43*114 + 31; hence not 43 divides 4933 by NAT_4:9;
    4933 = 47*104 + 45; hence not 47 divides 4933 by NAT_4:9;
    4933 = 53*93 + 4; hence not 53 divides 4933 by NAT_4:9;
    4933 = 59*83 + 36; hence not 59 divides 4933 by NAT_4:9;
    4933 = 61*80 + 53; hence not 61 divides 4933 by NAT_4:9;
    4933 = 67*73 + 42; hence not 67 divides 4933 by NAT_4:9;
  end;
  then for n being Element of NAT st 1 < n & n*n <= 4933 & n is prime
  holds not n divides 4933 by XPRIMET1:38;
  hence thesis by NAT_4:14;
end;
