Question 90
Find all four-digit numbers $n$ satisfying the following conditions:
i) number $n$ is product of three different primes;
ii) sum of the two smallest of these prime numbers is equal to the difference of largest two of them;
iii) sum of three primes is equal to the square of another prime.
i) number $n$ is product of three different primes;
ii) sum of the two smallest of these prime numbers is equal to the difference of largest two of them;
iii) sum of three primes is equal to the square of another prime.