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 The highest prime (Posted on 2014-05-16)
You are requested to partition the set of 10 digits (0,1,…,9) into a maximal number of subsets, such that in each set it is possible to create a prime number
using all its members.

What is the highest prime thus created?

 See The Solution Submitted by Ady TZIDON No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: Lucky 7 ok,but.... | Comment 6 of 8 |
(In reply to Lucky 7 by Steve Herman)

Although not anticipated by me it certainly qualfies as a valid solution, since the text did nor preclude use of math.  symbols.

Whether this is the maximal prime under the broad definition is hard to say, may be the last two sets  are :

8/4 and 60!-1  or    8-1 and 64!-0! or 6-1 and 48!!!!-0! or similar

iff any of the bolded numbers happens to be prime (Charlie might find one, but without proving that no bigger example exists.)

So - since  the restricted version  leads to a unique solution, let stick to it. I should have specify what is meant by "create a prime".

Mea culpa.

 Posted by Ady TZIDON on 2014-05-16 12:09:49

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