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When searching a number on Wolfram Alpha, one of the results is its representation.
For example, for 8549:

8549 has the representation 8549 = $5·2^6·3^3-91$.

Similarly for 75290:

75290 has the representation 75290 = $3·2^9·7^2+26$.

What is the significance of these representations?

  • 2
    Hum, it shows the numbers as sums or differences of products of small primes. It is curious.2011-01-18
  • 1
    Have you tried to ask Wolfram Alpha? If not, you could send an e-mail to this adress: info@wolframalpha.com or start a discussion at their forum: http://community.wolframalpha.com/2011-01-18
  • 0
    My guess is that it is the "shortest" way of expressing this number. Note that it doesn't do it for primes.2011-01-18
  • 0
    Very well. I've submitted a question to their forum, I hope to get results. I wanted to give Math.SE the first chance of ansering the question. It is possible that line is just a filler...2011-01-19
  • 0
    @Noon Silk - Well, isn't the "shortest" way simply writing the number? 8549 is quite short. And 83×103 (prime factors) is also shorter than that representation.2011-01-19
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    @Kobi: You've got me there. I retract my statement :)2011-01-19

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