
theorem
  6883 is prime
proof
  now
    6883 = 2*3441 + 1; hence not 2 divides 6883 by NAT_4:9;
    6883 = 3*2294 + 1; hence not 3 divides 6883 by NAT_4:9;
    6883 = 5*1376 + 3; hence not 5 divides 6883 by NAT_4:9;
    6883 = 7*983 + 2; hence not 7 divides 6883 by NAT_4:9;
    6883 = 11*625 + 8; hence not 11 divides 6883 by NAT_4:9;
    6883 = 13*529 + 6; hence not 13 divides 6883 by NAT_4:9;
    6883 = 17*404 + 15; hence not 17 divides 6883 by NAT_4:9;
    6883 = 19*362 + 5; hence not 19 divides 6883 by NAT_4:9;
    6883 = 23*299 + 6; hence not 23 divides 6883 by NAT_4:9;
    6883 = 29*237 + 10; hence not 29 divides 6883 by NAT_4:9;
    6883 = 31*222 + 1; hence not 31 divides 6883 by NAT_4:9;
    6883 = 37*186 + 1; hence not 37 divides 6883 by NAT_4:9;
    6883 = 41*167 + 36; hence not 41 divides 6883 by NAT_4:9;
    6883 = 43*160 + 3; hence not 43 divides 6883 by NAT_4:9;
    6883 = 47*146 + 21; hence not 47 divides 6883 by NAT_4:9;
    6883 = 53*129 + 46; hence not 53 divides 6883 by NAT_4:9;
    6883 = 59*116 + 39; hence not 59 divides 6883 by NAT_4:9;
    6883 = 61*112 + 51; hence not 61 divides 6883 by NAT_4:9;
    6883 = 67*102 + 49; hence not 67 divides 6883 by NAT_4:9;
    6883 = 71*96 + 67; hence not 71 divides 6883 by NAT_4:9;
    6883 = 73*94 + 21; hence not 73 divides 6883 by NAT_4:9;
    6883 = 79*87 + 10; hence not 79 divides 6883 by NAT_4:9;
  end;
  then for n being Element of NAT st 1 < n & n*n <= 6883 & n is prime
  holds not n divides 6883 by XPRIMET1:44;
  hence thesis by NAT_4:14;
end;
