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Posers and Puzzles

Posers and Puzzles

  1. Standard member Agerg
    The 'edit'or
    03 Jun '10 19:05 / 3 edits
    Whilst still in my prime,
    It seemed a good time
    That I ask you all think
    what is the integral link?

    Before you all curse
    This one's like my first
    Though the pattern in this sequel
    is not the first's equal

    3/2 it did start
    and the next? 1 apart!
    98,218, these both over three
    144244/5 is another we see

    Before giving the quest,
    Leaving some of you hexed...
    The latest was 866 over three
    Your turn now, the next one will be?...

    3/2, 5/2, 98/3, 218/3, 144244/5, 866/3, ?

    Apologies for the dodgy poem but there is a hint or two in there :]
  2. Standard member TheMaster37
    Kupikupopo!
    04 Jun '10 08:11
    No time to solve this, but compliments for the cute poem
  3. Standard member Agerg
    The 'edit'or
    04 Jun '10 15:33
    Heh...cheers, though in retrospect I think I'm asking a bit too much in this particular problem, and the first number in the sequence can be argued that it doesn't belong with the standard definition of prime numbers (ie: 1 isn't a prime)

    There is a skill to setting a good puzzle that I have yet to acquire!
  4. 04 Jun '10 16:09
    Originally posted by Agerg
    Heh...cheers, though in retrospect I think I'm asking a bit too much in this particular problem, and the first number in the sequence can be argued that it doesn't belong with the standard definition of prime numbers (ie: 1 isn't a prime)

    There is a skill to setting a good puzzle that I have yet to acquire!
    No no, I think you have a good point.
    I have long argued that 1 should be considered prime, since the definition of a prime is that it "can only be divided by itself and 1" just because itself IS 1 shouldn't preclude it from being considered prime--- says I!
  5. Standard member Agerg
    The 'edit'or
    04 Jun '10 16:12
    Originally posted by telecomladyj
    No no, I think you have a good point.
    I have long argued that 1 should be considered prime, since the definition of a prime is that it "can only be divided by itself and 1" just because itself IS 1 shouldn't preclude it from being considered prime--- says I!
    If we let 1 be prime we lose the unique factorisation of the integers (up to ordering that is). No longer can we say 12 = 2 x 2 x 3, since we can also factorise it as
    1 x 1 x 1 x 2 x 2 x 3 or
    1 x 2 x 2 x 3 or
    .
    .
    .
    1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 2 x 2 x 3
  6. 04 Jun '10 16:25 / 2 edits
    Originally posted by telecomladyj
    No no, I think you have a good point.
    I have long argued that 1 should be considered prime, since the definition of a prime is that it "can only be divided by itself and 1" just because itself IS 1 shouldn't preclude it from being considered prime--- says I!
    A non-prime is a number composed of two or more primes. Like 6=3x2. Right?
    So if 1 is a prime, then 5 is a non-prime, because 5=5x1.

    By including 1 in the set of primes, then you have to exclude 1 every time you want to have a unique factorization. Very impractical.

    No 1 is not a prime for practical reasons.