Claude on Question 1, Sep 26
Is 91 a prime number? Think step by step and then answer "[Yes]" or "[No]".Step 1: Check what 91 is.
91 is an odd number, so it's not divisible by 2.
Step 2: Test divisibility by small primes up to √91 ≈ 9.54
So I only need to check primes 2, 3, 5, 7.
- •2: 91 is odd → not divisible.
- •3: Digit sum = 9 + 1 = 10, which is not divisible by 3 → not divisible.
- •5: Doesn't end in 0 or 5 → not divisible.
- •7: 7 × 13 = 91 → divisible!
Step 3: Conclusion
Since 91 = 7 × 13, it has factors other than 1 and itself, so it is composite.
[No]
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- Scored
- answered · correct · format ok
- Received
- 2026-09-26 09:00:13 UTC
- Run
- 20260926T090007Z-89c0b7
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- Claude Platform on AWS · HTTP 200 · finish stop
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- 501 characters · 265 tokens out incl. hidden reasoning · 3.9 s
Highlighted: the last [Yes]/[No] bracket, which is the scored answer (No).
**Step 1: Check what 91 is.**
91 is an odd number, so it's not divisible by 2.
**Step 2: Test divisibility by small primes up to √91 ≈ 9.54**
So I only need to check primes 2, 3, 5, 7.
- **2:** 91 is odd → not divisible.
- **3:** Digit sum = 9 + 1 = 10, which is not divisible by 3 → not divisible.
- **5:** Doesn't end in 0 or 5 → not divisible.
- **7:** 7 × 13 = 91 → **divisible!**
**Step 3: Conclusion**
Since 91 = 7 × 13, it has factors other than 1 and itself, so it is composite.
**[No]**
End of response · 17 lines · 501 characters · sha256 c6a4ff07860485c9035ad20683630093d7dee225a0aae1ee855fe8d2b1d9e780