
theorem
  7079 is prime
proof
  now
    7079 = 2*3539 + 1; hence not 2 divides 7079 by NAT_4:9;
    7079 = 3*2359 + 2; hence not 3 divides 7079 by NAT_4:9;
    7079 = 5*1415 + 4; hence not 5 divides 7079 by NAT_4:9;
    7079 = 7*1011 + 2; hence not 7 divides 7079 by NAT_4:9;
    7079 = 11*643 + 6; hence not 11 divides 7079 by NAT_4:9;
    7079 = 13*544 + 7; hence not 13 divides 7079 by NAT_4:9;
    7079 = 17*416 + 7; hence not 17 divides 7079 by NAT_4:9;
    7079 = 19*372 + 11; hence not 19 divides 7079 by NAT_4:9;
    7079 = 23*307 + 18; hence not 23 divides 7079 by NAT_4:9;
    7079 = 29*244 + 3; hence not 29 divides 7079 by NAT_4:9;
    7079 = 31*228 + 11; hence not 31 divides 7079 by NAT_4:9;
    7079 = 37*191 + 12; hence not 37 divides 7079 by NAT_4:9;
    7079 = 41*172 + 27; hence not 41 divides 7079 by NAT_4:9;
    7079 = 43*164 + 27; hence not 43 divides 7079 by NAT_4:9;
    7079 = 47*150 + 29; hence not 47 divides 7079 by NAT_4:9;
    7079 = 53*133 + 30; hence not 53 divides 7079 by NAT_4:9;
    7079 = 59*119 + 58; hence not 59 divides 7079 by NAT_4:9;
    7079 = 61*116 + 3; hence not 61 divides 7079 by NAT_4:9;
    7079 = 67*105 + 44; hence not 67 divides 7079 by NAT_4:9;
    7079 = 71*99 + 50; hence not 71 divides 7079 by NAT_4:9;
    7079 = 73*96 + 71; hence not 73 divides 7079 by NAT_4:9;
    7079 = 79*89 + 48; hence not 79 divides 7079 by NAT_4:9;
    7079 = 83*85 + 24; hence not 83 divides 7079 by NAT_4:9;
  end;
  then for n being Element of NAT st 1 < n & n*n <= 7079 & n is prime
  holds not n divides 7079 by XPRIMET1:46;
  hence thesis by NAT_4:14;
end;
