1483 = (2 * 741) + 1 ;
hence not 2 divides 1483 by NAT_4:9; :: thesis:
1483 = (3 * 494) + 1 ;
hence not 3 divides 1483 by NAT_4:9; :: thesis:
1483 = (5 * 296) + 3 ;
hence not 5 divides 1483 by NAT_4:9; :: thesis:
1483 = (7 * 211) + 6 ;
hence not 7 divides 1483 by NAT_4:9; :: thesis:
1483 = (11 * 134) + 9 ;
hence not 11 divides 1483 by NAT_4:9; :: thesis:
1483 = (13 * 114) + 1 ;
hence not 13 divides 1483 by NAT_4:9; :: thesis:
1483 = (17 * 87) + 4 ;
hence not 17 divides 1483 by NAT_4:9; :: thesis:
1483 = (19 * 78) + 1 ;
hence not 19 divides 1483 by NAT_4:9; :: thesis:
1483 = (23 * 64) + 11 ;
hence not 23 divides 1483 by NAT_4:9; :: thesis:
1483 = (29 * 51) + 4 ;
hence not 29 divides 1483 by NAT_4:9; :: thesis:
1483 = (31 * 47) + 26 ;
hence not 31 divides 1483 by NAT_4:9; :: thesis:
1483 = (37 * 40) + 3 ;
hence not 37 divides 1483 by NAT_4:9; :: thesis:

end;

then for n being Element of NAT st 1 < n & n * n <= 1483 & n is prime holds
not n divides 1483 by XPRIMET1:24;
hence 1483 is prime by NAT_4:14; :: thesis: