
theorem
  941 is prime
proof
  now
    941 = 2*470 + 1; hence not 2 divides 941 by NAT_4:9;
    941 = 3*313 + 2; hence not 3 divides 941 by NAT_4:9;
    941 = 5*188 + 1; hence not 5 divides 941 by NAT_4:9;
    941 = 7*134 + 3; hence not 7 divides 941 by NAT_4:9;
    941 = 11*85 + 6; hence not 11 divides 941 by NAT_4:9;
    941 = 13*72 + 5; hence not 13 divides 941 by NAT_4:9;
    941 = 17*55 + 6; hence not 17 divides 941 by NAT_4:9;
    941 = 19*49 + 10; hence not 19 divides 941 by NAT_4:9;
    941 = 23*40 + 21; hence not 23 divides 941 by NAT_4:9;
    941 = 29*32 + 13; hence not 29 divides 941 by NAT_4:9;
  end;
  then for n being Element of NAT st 1 < n & n*n <= 941 & n is prime
  holds not n divides 941 by XPRIMET1:20;
  hence thesis by NAT_4:14;
