Owlet puzzle #78
Released Monday, September 21, 2026 UTC
4913
the answer for puzzle #78
The five clues
- A four-digit perfect cube.
- A four-digit odd number equal to the cube of a prime.
- A perfect cube whose digit sum is a prime.
- Its cube root is one more than sixteen.
- One of the small family of cubes whose digit sum equals the number being cubed.
Backstory
4913 = 17³ has digit sum 4+9+1+3 = 17, making it a self-descriptive cube where the cube root equals the digit sum of the cube. The full list of such cubes n³ with digit_sum(n³) = n is: 1, 8, 17, 18, 26, 27 (with 8³=512, 17³=4913, 18³=5832, 26³=17576, 27³=19683).
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