Sunday, 11 December 2011

Digits being same

Let me introduce 2 sets of numbers
First set 13458
Second set 02679
Let me show you how the numbers can be made to travel.With each set I make 18 five digit numbers .You can see that the numbers in the second set are exactly double those in the first set.
13485/26970.....13548/27096....13845/27690....14538/29076.....14835/29670.....14853/29706
31485/62970.....34851/69702....35148/70296....35481/70962.....38145/76290..... 38451/76902
45138/90276.....45381/90762.....48135/96270...48351/96702.....48513/97026...   48531/97062   ....
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4 comments:

  1. Shekar Raghavan11 December 2011 at 05:35

    Thats amazing. How does it happen?

    ReplyDelete
  2. Lalit11 December 2011 at 19:49

    Surely you didn't stumble across this. How did you find them? Are there many more sets like this?

    ReplyDelete
  3. Shekar Raghavan11 December 2011 at 19:49

    See this video...interesting solution -
    http://www.youtube.com/watch?feature=player_embedded&v=dAyDi1aa40E

    ReplyDelete
  4. Prof.N.Hariharan12 December 2011 at 20:54

    Good effort. The elementary structure of numbers from 1 to 10 is such that you will find some nos double the other 5. So you can form a pair. Then by sheer permutation and reckoning you an get more pairs. 5 digits can be permuted in 120 ways and in some of the pairs we may find the mass doubling. Anyhow good &sustained work.

    Now I am a bit involved in Theory of relativity (General) tieing up with indian Institute of Astrophysics Bangalore to see whether some constructive work can be done in Dark energy &Dark matter. For this as a preliminary measure I have to do a large no of problems in those theories (Special &General) After retirement I could devote some time to this amidst my annoying eyeproblems. hope I will do some work.

    I longback studied some group theory pertaining to Prime nos and nos and there are beautiful &elegant therems and analytic formulations giving behaviour of nos. There is a journal from Madras Mathes science institute solely devoted to prime numbers.

    anyhow I laud your effort. keep up.

    Hariharan

    ReplyDelete

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