Daily Math Puzzle: 2026-08-12
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2026-08-12
In a dusty attic, you stumble upon a cryptic ancient map leading to a forgotten treasure. The map has four symbols, each corresponding to a number. A note from the original explorer states: 'The treasure is hidden beneath the symbol whose number possesses three sacred properties: it must be a perfect square; the sum of its individual digits must be a prime number; and finally, the number itself must not be divisible by 5.' Which number marks the treasure's location?
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Solution
256 — Let's examine each choice against the three sacred properties:
1. It must be a perfect square.
2. The sum of its individual digits must be a prime number.
3. The number itself must not be divisible by 5.
* **Choice A: 625**
* Is it a perfect square? Yes, 25 * 25 = 625.
* Is the sum of its digits a prime number? 6 + 2 + 5 = 13. Yes, 13 is a prime number.
* Is it not divisible by 5? No, it ends in 5, so it IS divisible by 5. This choice fails the third property.
* **Choice B: 144**
* Is it a perfect square? Yes, 12 * 12 = 144.
* Is the sum of its digits a prime number? 1 + 4 + 4 = 9. No, 9 is not a prime number (it's divisible by 3). This choice fails the second property.
* Is it not divisible by 5? Yes, it ends in 4.
* **Choice C: 256**
* Is it a perfect square? Yes, 16 * 16 = 256.
* Is the sum of its digits a prime number? 2 + 5 + 6 = 13. Yes, 13 is a prime number.
* Is it not divisible by 5? Yes, it ends in 6.
This number satisfies all three properties.
* **Choice D: 139**
* Is it a perfect square? No, 11 * 11 = 121 and 12 * 12 = 144. This choice fails the first property.
* Is the sum of its digits a prime number? 1 + 3 + 9 = 13. Yes, 13 is a prime number.
* Is it not divisible by 5? Yes, it ends in 9.
Only the number 256 fulfills all three sacred properties required by the explorer's note.
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