Logic Masters Deutschland e.V.

Lupin's Loop 1 - No Shared Factors

(Eingestellt am 13. Mai 2026, 12:45 Uhr von Rab3aron)

Lupin's Loop 1
No Shared Factors
Backstory
When the city announced a challenge to design a perfect new road system, there was really only one candidate everyone expected to solve it: Professor Lupin, the mathematician so famous for his love of loops that people joked that was how he got his name. He set out to design a single elegant road network — one continuous road that would eventually close into a loop while connecting every house in the city.
Rules

Normal Sudoku rules apply.

Road: Draw a single road that travels orthogonally from cell to cell, never branching, crossing, or overlapping, and eventually closes into a loop. The road must pass through every house.

Traffic Lights: Borders marked with traffic lights are controlled intersections that the road cannot cross.

Segments: The bold 3×3 borders divide the road into segments.

No Shared Factors: Within each segment, all digits must be pairwise prime. That is, any two digits in the same segment share no common factor greater than 1.

Houses: A digit in a house equals the length of the segment containing it.

Speed Cameras: A digit in a speed camera counts how many road cells appear in the entire row of that camera, including the camera cell itself.

Note: A segment does not necessarily contain a house. Any segment of length 1 must contain the digit 1.

Solve Online
This is the first puzzle in a new series, and I truly hope you enjoy solving it. I would be very happy to hear any feedback, thoughts, or comments you may have.

Lösungscode: Digits on the loop in column 6 from top to bottom.


Gelöst von mathics, waxy, SennyK, pmays123, luna_vale, kroutu, Malakree, Vionix, 6yler, Clipper, IvoryLinnie, Joyofrandomness, stramosk, Silverscree, snowbaby, Zzzzz..., zeniko, Dr Logic, karlmortenlunna, ... Alce, mscha, 6rank, jonmag, FrauHoppmann, gmart, justCallMe, y00j1n, mse326, cat, QuiltyAsCharged, florita, Isael, jinkela114514, KuperWes, UltraLuigi, Druselbert, GWilliams00, Fusce, PuzzBmcg
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Kommentare

am 19. Mai 2026, 21:13 Uhr von GWilliams00
Extremely smooth solve! Never got stuck for long. I put it closer to 3*. Loved it!

am 16. Mai 2026, 18:27 Uhr von mscha
Very, very nice! I hope this becomes just as epic a series as Rat Run!

am 16. Mai 2026, 12:33 Uhr von Agent
Great idea!

am 13. Mai 2026, 17:17 Uhr von 6yler
Great start to the series! Excited for the next ones

am 13. Mai 2026, 16:59 Uhr von Vionix
Great puzzle! Thank you for sharing

am 13. Mai 2026, 15:27 Uhr von luna_vale
Amazing puzzle with a very interesting and original ruleset!
Can't wait for episode 2 :)

am 13. Mai 2026, 15:15 Uhr von pmays123
Very lovely. I enjoyed every second of this solve. Thank you!

am 13. Mai 2026, 14:57 Uhr von SennyK
Great puzzle! :-)

am 13. Mai 2026, 14:04 Uhr von waxy
elegant solve, loved solving it. brilliant

am 13. Mai 2026, 13:24 Uhr von mathics
Very beautiful construction!
I really enjoyed the logic behind finding the loop.
I’d say it’s around 3.5 stars for difficulty.

Schwierigkeit:4
Bewertung:97 %
Gelöst:68 mal
Beobachtet:0 mal
ID:000SSD

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