
theorem
  9103 is prime
proof
  now
    9103 = 2*4551 + 1; hence not 2 divides 9103 by NAT_4:9;
    9103 = 3*3034 + 1; hence not 3 divides 9103 by NAT_4:9;
    9103 = 5*1820 + 3; hence not 5 divides 9103 by NAT_4:9;
    9103 = 7*1300 + 3; hence not 7 divides 9103 by NAT_4:9;
    9103 = 11*827 + 6; hence not 11 divides 9103 by NAT_4:9;
    9103 = 13*700 + 3; hence not 13 divides 9103 by NAT_4:9;
    9103 = 17*535 + 8; hence not 17 divides 9103 by NAT_4:9;
    9103 = 19*479 + 2; hence not 19 divides 9103 by NAT_4:9;
    9103 = 23*395 + 18; hence not 23 divides 9103 by NAT_4:9;
    9103 = 29*313 + 26; hence not 29 divides 9103 by NAT_4:9;
    9103 = 31*293 + 20; hence not 31 divides 9103 by NAT_4:9;
    9103 = 37*246 + 1; hence not 37 divides 9103 by NAT_4:9;
    9103 = 41*222 + 1; hence not 41 divides 9103 by NAT_4:9;
    9103 = 43*211 + 30; hence not 43 divides 9103 by NAT_4:9;
    9103 = 47*193 + 32; hence not 47 divides 9103 by NAT_4:9;
    9103 = 53*171 + 40; hence not 53 divides 9103 by NAT_4:9;
    9103 = 59*154 + 17; hence not 59 divides 9103 by NAT_4:9;
    9103 = 61*149 + 14; hence not 61 divides 9103 by NAT_4:9;
    9103 = 67*135 + 58; hence not 67 divides 9103 by NAT_4:9;
    9103 = 71*128 + 15; hence not 71 divides 9103 by NAT_4:9;
    9103 = 73*124 + 51; hence not 73 divides 9103 by NAT_4:9;
    9103 = 79*115 + 18; hence not 79 divides 9103 by NAT_4:9;
    9103 = 83*109 + 56; hence not 83 divides 9103 by NAT_4:9;
    9103 = 89*102 + 25; hence not 89 divides 9103 by NAT_4:9;
  end;
  then for n being Element of NAT st 1 < n & n*n <= 9103 & n is prime
  holds not n divides 9103 by XPRIMET1:48;
  hence thesis by NAT_4:14;
end;
