Nerdle #1033 Answer
Sunday, November 17, 2024
21+52=73
- Structure
- AB+CD=EF
- Type
- Double-Digit Addition
- Result
- 73
How the clues would have read
- Today's equation begins with a two-digit number in the 20s.
- This puzzle uses addition only.
- The result is a 2-digit odd number.
The numbers behind it
- Divisibility: 21 is divisible by 3 and 7, 52 is divisible by 2, 4, 13, and 26, and 73 is prime
- Digital roots: 21 → 2+1 = 3, 52 → 5+2 = 7, 73 → 7+3 = 10 → 1
- Prime factorization: 21 = 3×7, 52 = 2²×13, 73 = 73
Why the structure matters
This puzzle's shape is AB+CD=EF — a double-digit 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 double-digit addition, most of the search space is gone before you have spent a single guess.
The result, 73, 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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