
theorem
  5479 is prime
proof
  now
    5479 = 2*2739 + 1; hence not 2 divides 5479 by NAT_4:9;
    5479 = 3*1826 + 1; hence not 3 divides 5479 by NAT_4:9;
    5479 = 5*1095 + 4; hence not 5 divides 5479 by NAT_4:9;
    5479 = 7*782 + 5; hence not 7 divides 5479 by NAT_4:9;
    5479 = 11*498 + 1; hence not 11 divides 5479 by NAT_4:9;
    5479 = 13*421 + 6; hence not 13 divides 5479 by NAT_4:9;
    5479 = 17*322 + 5; hence not 17 divides 5479 by NAT_4:9;
    5479 = 19*288 + 7; hence not 19 divides 5479 by NAT_4:9;
    5479 = 23*238 + 5; hence not 23 divides 5479 by NAT_4:9;
    5479 = 29*188 + 27; hence not 29 divides 5479 by NAT_4:9;
    5479 = 31*176 + 23; hence not 31 divides 5479 by NAT_4:9;
    5479 = 37*148 + 3; hence not 37 divides 5479 by NAT_4:9;
    5479 = 41*133 + 26; hence not 41 divides 5479 by NAT_4:9;
    5479 = 43*127 + 18; hence not 43 divides 5479 by NAT_4:9;
    5479 = 47*116 + 27; hence not 47 divides 5479 by NAT_4:9;
    5479 = 53*103 + 20; hence not 53 divides 5479 by NAT_4:9;
    5479 = 59*92 + 51; hence not 59 divides 5479 by NAT_4:9;
    5479 = 61*89 + 50; hence not 61 divides 5479 by NAT_4:9;
    5479 = 67*81 + 52; hence not 67 divides 5479 by NAT_4:9;
    5479 = 71*77 + 12; hence not 71 divides 5479 by NAT_4:9;
    5479 = 73*75 + 4; hence not 73 divides 5479 by NAT_4:9;
  end;
  then for n being Element of NAT st 1 < n & n*n <= 5479 & n is prime
  holds not n divides 5479 by XPRIMET1:42;
  hence thesis by NAT_4:14;
end;
