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Monday, January 3, 2011

A Mathematical Challenge

Nothing like a little brain teaser to start the new year!


Why? Because I'm working on a piece to submit to the Arts Center in Corvallis, OR for their Math related exhibit - more info HERE.

The Challenge:

I'll be working with prime numbers in a grid format using the seeds of various fruits as the designated number for each block.

  • I want a 5 x 7 grid
  • Each block should contain a prime number (hopefully under 30 - the smaller the better)
  • I don't want any duplicate numbers in a row
  • I don't want any duplicate numbers in a column
  • Each row should add up to a different prime number (e.g., I don't want 2 rows both adding to 29)
  • Each column should add up to a different prime number
There will be more prime numbers hidden throughout, but I'm struggling with this first part. I can get close, but can't quite close the deal.

The REWARD:
Be the first to solve my mathematical dilemma (posting your solution in the comments here) and I'll send you a FREE 11 x 14 inch print of the final piece which should be done in March.

(PLEASE NOTE: Free item must be shipped within the US. Only 1 winner.)

Happy calculating!

8 comments:

Scott Lommers said...

I'd love to help...but I'm too dumb.

Good luck!

Mary Quintrall said...

I'm not sure I understand exactly what you want but my extensive Sudoku training tells me I'm perfect for the job. Here's what I got so far, tell me if I'm on the right track.

47 23 13 3 17
11 3 19 7 1
3 1 17 11 29
13 17 11 5 1
1 13 3 19 7
7 5 1 13 11
31 11 7 1 23

Jennifer Lommers said...

Mary - you're on the right track! My mathematical father, however, has informed me that 1 is not considered prime. Want to give it another go? THANK YOU!

Pat said...
This comment has been removed by the author.
hjg said...

I think this'll do it:

3 13 7 11 19 53
17 5 19 7 13 61
29 89 37 13 23 191
37 43 41 47 29 197
31 17 11 3 5 67
5 11 17 19 7 59
29 3 47 37 11 127
151 181 179 137 107

Jennifer Lommers said...

hjg - I think that does it! I'll send both you and Mary a print when it's done for your fine efforts! THANK YOU!

Mary & hjg - Just email me a mailing address sometime in the near future, and I'll send you a print when they're ready (again, it should be about March).

art@jenniferlommers.com

Thanks again!

Amanda Makepeace said...

You're in the EBSQ Friday Five!

Jennifer Lommers said...

Oh NO - I MISSED the deadline, and haven't had time to finish this painting! I hope to work on it more soon - at which point Mary and hjg - I'll get you your print! Sorry for the delay...

Jennifer

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