
theorem
  4283 is prime
proof
  now
    4283 = 2*2141 + 1; hence not 2 divides 4283 by NAT_4:9;
    4283 = 3*1427 + 2; hence not 3 divides 4283 by NAT_4:9;
    4283 = 5*856 + 3; hence not 5 divides 4283 by NAT_4:9;
    4283 = 7*611 + 6; hence not 7 divides 4283 by NAT_4:9;
    4283 = 11*389 + 4; hence not 11 divides 4283 by NAT_4:9;
    4283 = 13*329 + 6; hence not 13 divides 4283 by NAT_4:9;
    4283 = 17*251 + 16; hence not 17 divides 4283 by NAT_4:9;
    4283 = 19*225 + 8; hence not 19 divides 4283 by NAT_4:9;
    4283 = 23*186 + 5; hence not 23 divides 4283 by NAT_4:9;
    4283 = 29*147 + 20; hence not 29 divides 4283 by NAT_4:9;
    4283 = 31*138 + 5; hence not 31 divides 4283 by NAT_4:9;
    4283 = 37*115 + 28; hence not 37 divides 4283 by NAT_4:9;
    4283 = 41*104 + 19; hence not 41 divides 4283 by NAT_4:9;
    4283 = 43*99 + 26; hence not 43 divides 4283 by NAT_4:9;
    4283 = 47*91 + 6; hence not 47 divides 4283 by NAT_4:9;
    4283 = 53*80 + 43; hence not 53 divides 4283 by NAT_4:9;
    4283 = 59*72 + 35; hence not 59 divides 4283 by NAT_4:9;
    4283 = 61*70 + 13; hence not 61 divides 4283 by NAT_4:9;
  end;
  then for n being Element of NAT st 1 < n & n*n <= 4283 & n is prime
  holds not n divides 4283 by XPRIMET1:36;
  hence thesis by NAT_4:14;
end;
