Nerdle #1591 Answer
Friday, May 29, 2026
103−96=7
- Structure
- ABC-DE=F
- Type
- Mixed-Length Subtraction
- Result
- 7
How the clues would have read
- Today's equation begins with a two-digit number in the 100s.
- This puzzle uses subtraction only.
- The result is a single-digit odd number.
The numbers behind it
- Divisibility: 103 is prime, 96 is divisible by 2, 3, 4, 6, 8, 12, 16, 24, 32, and 48, and 7 is prime
- Digital roots: 103 → 1+0+3 = 4, 96 → 9+6 = 15 → 6, 7 → 7
- Prime factorization: 103 = 103, 96 = 2⁵×3, 7 = 7
Why the structure matters
This puzzle's shape is ABC-DE=F — a mixed-length subtraction, 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-length subtraction, most of the search space is gone before you have spent a single guess.
The result, 7, 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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