September 10, 2005

Miscellaneous Mathematics

Coolest thing I’d seen all year. Who discovers these things?
_____

The aftermath of a discussion by multiple exponents.


  • 111,111,111 multiplied by 111,111,111 gives a result of 12,345,678,987,654,321

  • Multiply 21978 by 4 and you get 87912, which is the original number in reverse.

  • 12345679 multipled by a product of 9 gives a nine digit sequence of the factor used. For example, 12345679 × (1 × 9) = 111111111, 12345679 × (2 × 9) = 222222222, etc. (This only works for single digit multiples of 9.)

  • 142857 is known as a cyclic number: the individual digits always appear in different positions when multiplied by any number from 1 to 6. (142857 × 2 = 285714, 142857 × 3 = 428571, 142857 × 4 = 571428, 142857 × 5 = 714285, 142857 × 6 = 857142.)

  • Pick any prime number larger than 5, multiply it by itself (i.e, find the square of the prime number you picked), add 17 to it and divide it by 12: you will always get a remainder of 6.

via dullneon

Posted by Karen at September 10, 2005 11:01 AM in miscellaneous
Comments

i actually discovered these things from an evening at the library, where i stumbled upon a couple of very nice mathematics (and mathematical proofs) books.

this is what happens when i try to live a life outside of design after office hours… i end up getting closer to the nerdy side of me.

<nerd talk>
if anyone is interested, i highly recommend the book “The Music of the Primes - Searching to solve the greatest mystery in mathematics”. absolutely fascinating.
</nerd talk>

Posted by: jaffry at September 11, 2005 12:35 AM

tat’s so interesting, any more?

Posted by: www.BearieTreats.com at September 11, 2005 10:35 AM
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