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142857

  • 27-07-2005 9:49am
    #1
    biko
    Registered Users, Registered Users 2 Posts: 81,220 ✭✭✭✭


    This may be kidstuff but nevertheless it's intriguing:

    If you multiply the number 142,857 by anything between 1 and 6 the answer contains the same digits. e.g. 142857 x 3 = 428571 and 142857 x 6 = 857142
    If you multiply the same figure by 7 the answer is 999,999.


Comments

  • #2
    full forward
    Closed Accounts Posts: 255 ✭✭full forward


    biko wrote:
    This may be kidstuff but nevertheless it's intriguing:

    If you multiply the number 142,857 by anything between 1 and 6 the answer contains the same digits. e.g. 142857 x 3 = 428571 and 142857 x 6 = 857142
    If you multiply the same figure by 7 the answer is 999,999.

    they're also in the same order. How come that? :confused:


  • #3
    Yakuza
    Registered Users, Registered Users 2 Posts: 5,141 ✭✭✭Yakuza


    Have a look here:

    http://www.geocities.com/bprice1949/primes.html

    I remember doing something about the properties of decimal representations of fractions of prime numbers many moons ago...maths olympiad preparation if memory serves.

    Ahh takes me back :)

    (Edited: Spelling > me :))


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