Brainsteem Mathematics Challenges: Prime Triangle

in #mathematics7 years ago

The image below shows a triangular shape with four circles along each side. The aim is to place a different prime number within each circle so that the sum of the four numbers along each side is the same.

What is the smallest possible sum of all nine numbers?


As always, these questions are designed to be done by hand, without computational assistance. In this case, you should find some structure to the puzzle so that you can then generate many other such triangles of primes.


More Brainsteems currently live:

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The first correct answer and further interesting comments will be rewarded with an upvote.

Enjoy!

image:my own image, from my blog


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Please Comment, Resteem and Upvote. Thanks!

@rycharde manages the AAKOM project and the MAP forum.

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Hi, thanks - although tempting to place the smallest primes in the corners, that does not lead to a minimum for the total sum.

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