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What Am I? 2

Math brain teasers require computations to solve.

 

Puzzle ID:#45394
Fun:*** (2.45)
Difficulty:** (2.09)
Category:Math
Submitted By:Lord_HawkAsx******

 

 

 



I am a seven digit number. All of my digits are distinct and non-zero. The sum of all my digits is 29. My first digit is 2, and my last is 6. No two consecutive digits are even, no two consecutive digits are odd, and no two consecutive digits are prime.
The number also follows another interesting pattern - starting from the first digit, if the second digit is higher, then the third will be lower than the second, and the fourth higher than the third, and so on alternately. This pattern can also be inverted.

What am I?

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Hint

Which digits can add up to 29? Then consider the rules and work from digit to digit.
Remember that 1 is not a prime - it is a cardinal number.

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Comments

-felixx-*jp
Sep 30, 2009

Quite easy... Well laid out information, simple yet requires some thought. Thanks for posting
dalfamnestAnz*
Oct 12, 2009

I agree. Needs a bit of thought and a pencil - and just a little bit different from others. That spells FUN!
Lord_HawkAsx*
Oct 12, 2009

Thanks, thought it up while on a plane
smartlilbitAus*
May 25, 2010

it was fun, i havent been challenged like that forever.
RRAMMOHAN*in*
Nov 10, 2012

A simple one.



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