output_description: The output is a sequence of pairs of positive integers. The _i_ -th output
  pair corresponds to the _i_ -th input triplet. The integers of each output
  pair are the width _p_ and the height _q_ described above, in this order.
  
  Each output line contains a single pair. A space character is put between the
  integers as a delimiter. No other characters should appear in the output.
input_description: The input is a sequence of at most 2000 triplets of positive integers,
  delimited by a space character in between. Each line contains a single
  triplet. The sequence is followed by a triplet of zeros, 0 0 0, which
  indicates the end of the input and should not be treated as data to be
  processed.
  
  The integers of each input triplet are the integer _m_ , the numerator _a_ ,
  and the denominator _b_ described above, in this order. You may assume 4 < _m_
  < 100000 and 1 ≤ _a_ ≤ _b_ ≤ 1000\.
attempt: MAXN = 320
  sieve = [0, 0] + [1] * MAXN
  primes = []
  p = 2
  while p * p <= MAXN:
      if sieve[p]:
          primes.append(p)
          for q in range(p * 2, MAXN + 1, p):
              sieve[q] = 0
      p += 1
  for q in range(p, MAXN):
      if sieve[q]:
          primes.append(q)
  
  while True:
      M, A, B = map(int, input().split())
      if M == 0:
          break
      opt_p = opt_q = 0
      for p in primes:
          for q in primes:
              if p > q:
                  continue
              if p * q > M:
                  break
              if A * q > B * p:
                  continue
              if p * q > opt_p * opt_q:
                  opt_p, opt_q = p, q
      print("{0} {1}".format(opt_p, opt_q))
  
problem_description: A: Calling Extraterrestrial Intelligence Again
  
  A message from humans to extraterrestrial intelligence was sent through the
  Arecibo radio telescope in Puerto Rico on the afternoon of Saturday November
  l6, l974. The message consisted of l679 bits and was meant to be translated to
  a rectangular picture with 23 × 73 pixels. Since both 23 and 73 are prime
  numbers, 23 × 73 is the unique possible size of the translated rectangular
  picture each edge of which is longer than l pixel. Of course, there was no
  guarantee that the receivers would try to translate the message to a
  rectangular picture. Even if they would, they might put the pixels into the
  rectangle incorrectly. The senders of the Arecibo message were optimistic.
  
  We are planning a similar project. Your task in the project is to find the
  most suitable width and height of the translated rectangular picture. The term
  ``most suitable'' is defined as follows. An integer m greater than 4 is given.
  A positive fraction _a_ /_b_ less than or equal to 1 is also given. The area
  of the picture should not be greater than _m_. Both of the width and the
  height of the translated picture should be prime numbers. The ratio of the
  width to the height should not be less than _a_ /_b_ nor greater than 1. You
  should maximize the area of the picture under these constraints.
  
  In other words, you will receive an integer _m_ and a fraction _a_ /_b_ . It
  holds that _m_ > 4 and 0 < _a_ /_b_ ≤ 1 . You should find the pair of prime
  numbers _p_ , _q_ such that _pq_ ≤ _m_ and _a_ /_b_ ≤ _p_ /_q_ ≤ 1 , and
  furthermore, the product _pq_ takes the maximum value among such pairs of two
  prime numbers. You should report _p_ and _q_ as the "most suitable" width and
  height of the translated picture.
samples: [{"input": "1 2\n    99999 999 999\n    1680 5 16\n    1970 1 1\n    2002 4 11\n    0 0 0", "output": "2\n    313 313\n    23 73\n    43 43\n    37 53"}]