Unique Primes (9x9)
(Published on 27. June 2024, 01:38 by Elliptical)
This puzzle was inspired by the "Mystery Primes" series with contributions by sfushidahardy, jordanp301, Qodec, and Xenonetix.
The rule set is almost identical, with the addition of the "Prime Diagonal" rule.
RULES
Latin Square: Place the digits 1 – 9 once each in every row and column.
Prime Regions: Digits in each highlighted region sum to a prime number. Digits may repeat within a region.
Prime Diagonals: Digits along each diagonal indicated by an arrow sum to a prime number. Digits may repeat within a diagonal.
Unique Primes: The set of the primes created by both previous rules combined contains no repeats.
I appreciate solves, comments, and suggestions
Solve the puzzle at Penpa+ with answer check. I've included extra rows and columns around the grid to facilitate notation.To trigger the answer check, make sure to fill all the digits in the grid and remove any notation you may have created around the grid. Tip: use Penpa's "number" tab to write numbers with more than one digit.
Solution code: Row 3 followed by Column 3, no spaces.
Comments
on 28. June 2024, 00:56 by sanabas
Very nice constructing
on 27. June 2024, 16:01 by Elliptical
Fixed a few more typos.
on 27. June 2024, 15:44 by StefanSch
Verry nice puzzle and the answer to the question "Why do we learn math in school?"
@sanabas: You are on a good way.
on 27. June 2024, 06:34 by Elliptical
Clarified rules.
on 27. June 2024, 05:49 by MonsieurTRISTE
I may suppose that the final rule “unique primes” actually means that the sums from previous rules do not repeat?
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Yes, that's the intended meaning. Maybe I should rephrase it to make that point more clear.
on 27. June 2024, 01:43 by Elliptical
fixed minor typos
