
theorem
  5087 is prime
proof
  now
    5087 = 2*2543 + 1; hence not 2 divides 5087 by NAT_4:9;
    5087 = 3*1695 + 2; hence not 3 divides 5087 by NAT_4:9;
    5087 = 5*1017 + 2; hence not 5 divides 5087 by NAT_4:9;
    5087 = 7*726 + 5; hence not 7 divides 5087 by NAT_4:9;
    5087 = 11*462 + 5; hence not 11 divides 5087 by NAT_4:9;
    5087 = 13*391 + 4; hence not 13 divides 5087 by NAT_4:9;
    5087 = 17*299 + 4; hence not 17 divides 5087 by NAT_4:9;
    5087 = 19*267 + 14; hence not 19 divides 5087 by NAT_4:9;
    5087 = 23*221 + 4; hence not 23 divides 5087 by NAT_4:9;
    5087 = 29*175 + 12; hence not 29 divides 5087 by NAT_4:9;
    5087 = 31*164 + 3; hence not 31 divides 5087 by NAT_4:9;
    5087 = 37*137 + 18; hence not 37 divides 5087 by NAT_4:9;
    5087 = 41*124 + 3; hence not 41 divides 5087 by NAT_4:9;
    5087 = 43*118 + 13; hence not 43 divides 5087 by NAT_4:9;
    5087 = 47*108 + 11; hence not 47 divides 5087 by NAT_4:9;
    5087 = 53*95 + 52; hence not 53 divides 5087 by NAT_4:9;
    5087 = 59*86 + 13; hence not 59 divides 5087 by NAT_4:9;
    5087 = 61*83 + 24; hence not 61 divides 5087 by NAT_4:9;
    5087 = 67*75 + 62; hence not 67 divides 5087 by NAT_4:9;
    5087 = 71*71 + 46; hence not 71 divides 5087 by NAT_4:9;
  end;
  then for n being Element of NAT st 1 < n & n*n <= 5087 & n is prime
  holds not n divides 5087 by XPRIMET1:40;
  hence thesis by NAT_4:14;
end;
