Nerdle #822 Answer
Saturday, April 20, 2024
4*4+1=17
- Structure
- A*B+C=DE
- Type
- Mixed Multiplication and Addition
- Result
- 17
How the clues would have read
- Today's equation begins with a single-digit number.
- This puzzle uses addition and multiplication operations.
- The result is a 2-digit odd number.
The numbers behind it
- Divisibility: 4 is divisible by 2, 4 is divisible by 2, 1 is prime, and 17 is prime
- Digital roots: 4 → 4, 4 → 4, 1 → 1, 17 → 1+7 = 8
- Prime factorization: 4 = 2², 4 = 2², 1 has no prime factors, 17 = 17
Why the structure matters
This puzzle's shape is A*B+C=DE — a mixed multiplication and addition, where each letter stands for one digit. Recognising the shape before the arithmetic is what separates a three-guess solve from a six-guess struggle: once you know the equation is a mixed multiplication and addition, most of the search space is gone before you have spent a single guess.
The result, 17, is prime — so it cannot be reached by multiplying two smaller whole numbers, which rules out a whole family of candidate equations immediately.
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