
theorem
  6491 is prime
proof
  now
    6491 = 2*3245 + 1; hence not 2 divides 6491 by NAT_4:9;
    6491 = 3*2163 + 2; hence not 3 divides 6491 by NAT_4:9;
    6491 = 5*1298 + 1; hence not 5 divides 6491 by NAT_4:9;
    6491 = 7*927 + 2; hence not 7 divides 6491 by NAT_4:9;
    6491 = 11*590 + 1; hence not 11 divides 6491 by NAT_4:9;
    6491 = 13*499 + 4; hence not 13 divides 6491 by NAT_4:9;
    6491 = 17*381 + 14; hence not 17 divides 6491 by NAT_4:9;
    6491 = 19*341 + 12; hence not 19 divides 6491 by NAT_4:9;
    6491 = 23*282 + 5; hence not 23 divides 6491 by NAT_4:9;
    6491 = 29*223 + 24; hence not 29 divides 6491 by NAT_4:9;
    6491 = 31*209 + 12; hence not 31 divides 6491 by NAT_4:9;
    6491 = 37*175 + 16; hence not 37 divides 6491 by NAT_4:9;
    6491 = 41*158 + 13; hence not 41 divides 6491 by NAT_4:9;
    6491 = 43*150 + 41; hence not 43 divides 6491 by NAT_4:9;
    6491 = 47*138 + 5; hence not 47 divides 6491 by NAT_4:9;
    6491 = 53*122 + 25; hence not 53 divides 6491 by NAT_4:9;
    6491 = 59*110 + 1; hence not 59 divides 6491 by NAT_4:9;
    6491 = 61*106 + 25; hence not 61 divides 6491 by NAT_4:9;
    6491 = 67*96 + 59; hence not 67 divides 6491 by NAT_4:9;
    6491 = 71*91 + 30; hence not 71 divides 6491 by NAT_4:9;
    6491 = 73*88 + 67; hence not 73 divides 6491 by NAT_4:9;
    6491 = 79*82 + 13; hence not 79 divides 6491 by NAT_4:9;
  end;
  then for n being Element of NAT st 1 < n & n*n <= 6491 & n is prime
  holds not n divides 6491 by XPRIMET1:44;
  hence thesis by NAT_4:14;
end;
