
theorem
  3833 is prime
proof
  now
    3833 = 2*1916 + 1; hence not 2 divides 3833 by NAT_4:9;
    3833 = 3*1277 + 2; hence not 3 divides 3833 by NAT_4:9;
    3833 = 5*766 + 3; hence not 5 divides 3833 by NAT_4:9;
    3833 = 7*547 + 4; hence not 7 divides 3833 by NAT_4:9;
    3833 = 11*348 + 5; hence not 11 divides 3833 by NAT_4:9;
    3833 = 13*294 + 11; hence not 13 divides 3833 by NAT_4:9;
    3833 = 17*225 + 8; hence not 17 divides 3833 by NAT_4:9;
    3833 = 19*201 + 14; hence not 19 divides 3833 by NAT_4:9;
    3833 = 23*166 + 15; hence not 23 divides 3833 by NAT_4:9;
    3833 = 29*132 + 5; hence not 29 divides 3833 by NAT_4:9;
    3833 = 31*123 + 20; hence not 31 divides 3833 by NAT_4:9;
    3833 = 37*103 + 22; hence not 37 divides 3833 by NAT_4:9;
    3833 = 41*93 + 20; hence not 41 divides 3833 by NAT_4:9;
    3833 = 43*89 + 6; hence not 43 divides 3833 by NAT_4:9;
    3833 = 47*81 + 26; hence not 47 divides 3833 by NAT_4:9;
    3833 = 53*72 + 17; hence not 53 divides 3833 by NAT_4:9;
    3833 = 59*64 + 57; hence not 59 divides 3833 by NAT_4:9;
    3833 = 61*62 + 51; hence not 61 divides 3833 by NAT_4:9;
  end;
  then for n being Element of NAT st 1 < n & n*n <= 3833 & n is prime
  holds not n divides 3833 by XPRIMET1:36;
  hence thesis by NAT_4:14;
end;
