Logic Masters Deutschland e.V.

Twin prime sudoku

(Published on 29. January 2020, 15:44 by Shinya)

Standard sudoku rules apply. In addition, every box must contain exactly one pair (not zero, not two) of twin primes, formed by two digits read left to right or top to bottom. Twin primes are a set of two primes which differ by exactly 2.

Example:

In the picture below, two sets of twin primes are shown. On the left, 29 and 31 are the twin primes, on the right, 41 and 43 are the twin primes.

The puzzle must contain every set of two-digit twin primes that can be formed in one box without breaking standard sudoku rules (so all sets bigger than 11/13, and lower than 100)

Have fun!

Solution code: Row 8, column 7

Last changed on on 30. January 2020, 19:27

Solved by cdwg2000, Julianl, rimodech, Nylimb, marcmees, ch1983, zorant, saskia-daniela, pokerke, jessica6, Matt, Joe Average, Nothere, tuace, ffricke, Circleconstant314, Danielle, Thomster, azalozni, ropeko, geronimo92, dm_litv, Feadoor, Realshaggy, Mody, ildiko, NikolaZ, pin7guin
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Comments

on 20. February 2020, 16:01 by Shinya
@@Feadoor
Yes, it may contain prime numbers from other twin sets, as long as the second number of the second set is missing.

on 20. February 2020, 15:58 by Feadoor
May a box contain a third twin prime, as long as it doesn't contain its partner? For example, could a box contain the pair of twin primes 41 and 43, and additionally contain the twin prime 17 (but without its partner 19)?

on 31. January 2020, 13:17 by Nylimb
@Shinya: Thanks for the clarification.

For anyone who hasn't solved the puzzle yet, this modification eliminates one of my two solutions, so now the answer is unique.

on 30. January 2020, 19:27 by Shinya
Added clarification to description, changed row of solution code.

on 30. January 2020, 01:20 by Realshaggy
Hidden comments may only be seen by the puzzle author, the person who made the comment and people who already entered the right solution code. So it's totally fine to discuss the puzzle there.

on 29. January 2020, 23:48 by Nylimb
It's a nice puzzle, but unless I'm making some stupid mistake, there are 2 solutions, which are similar enough so that they give the same solution code.

Is it OK to give the solutions in a hidden comment? (I'm new here, so I'm not sure if that's allowed.)

Difficulty:3
Rating:77 %
Solved:28 times
Observed:10 times
ID:000375

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