Nobody's perfect
(Published on 11. April 2026, 11:57 by Lithium-Ion)
This puzzle has been my sixth feature on Cracking the Cryptic (click here to see Mark solving it) and is about perfect numbers. I hope that you enjoy the puzzle. Constructive feedback is always appreciated! The rules are as follows:
Normal Sudoku rules apply. Orthogonally adjacent digits are not allowed to contain consecutive digits. Digits within a killer cage do not repeat and sum to a perfect number. A perfect number is a number that equals the sum of its proper divisors (i.e. each divisor excluding the number itself). For example, 20 is not a perfect number since the sum of the proper divisors is 1+2+4+5+10=22, which is not 20. Hint: There are only two perfect numbers that are less than 45.
You can play this puzzle via the following link: https://sudokupad.app/3ppzefe55t
Normal Sudoku rules apply. Orthogonally adjacent digits are not allowed to contain consecutive digits. Digits within a killer cage do not repeat and sum to a perfect number. A perfect number is a number that equals the sum of its proper divisors (i.e. each divisor excluding the number itself). For example, 20 is not a perfect number since the sum of the proper divisors is 1+2+4+5+10=22, which is not 20. Hint: There are only two perfect numbers that are less than 45.
You can play this puzzle via the following link: https://sudokupad.app/3ppzefe55t
Solution code: Digits in row 9, read from left to right.
Solved by Gribba Bibba, cathematician, caiogi, SKORP17, DigitCounter, Aaravos, Exigus, killer_rectangle, RedBarchetta, stephan_71, marcmees, lm_12, JohnMoore, kehan628, ax_86, taj, Piff, Dr Logic, lianarox, JRaunak, puzzle_hunter, trz7, michael_a
Comments
on 12. April 2026, 13:31 by Dr Logic
Very nice puzzle, felt like 2 stars to me however.
Now prove that all perfect numbers are even...
