Gemini on Question 1, Sep 25
Is 91 a prime number? Think step by step and then answer "[Yes]" or "[No]".To determine if 91 is a prime number, we can check if it is divisible by any prime numbers smaller than its square root (the square root of 91 is between 9 and 10, so we check 2, 3, 5, and 7).
- 1.Check 2: 91 does not end in an even number, so it is not divisible by 2.
- 2.Check 3: The sum of the digits is 9 + 1 = 10. Since 10 is not divisible by 3, 91 is not divisible by 3.
- 3.Check 5: 91 does not end in 0 or 5, so it is not divisible by 5.
- 4.Check 7: Let's divide 91 by 7.
7 × 10 = 70.
91 - 70 = 21.
7 × 3 = 21.
Therefore, 7 × 13 = 91.
Since 91 is divisible by 7 and 13 (meaning it has divisors other than 1 and itself), it is not a prime number.
[No]
Exact recordShowHideThe model id, the run, the verbatim text with line numbers and its full sha256
- Scored
- answered · correct · format ok
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- 2026-09-25 09:00:19 UTC
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- 20260925T090007Z-f08d1f
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- Google · HTTP 200 · finish stop
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- 691 characters · 622 tokens out incl. hidden reasoning · 5.7 s
Highlighted: the last [Yes]/[No] bracket, which is the scored answer (No).
To determine if 91 is a prime number, we can check if it is divisible by any prime numbers smaller than its square root (the square root of 91 is between 9 and 10, so we check 2, 3, 5, and 7).
1. **Check 2**: 91 does not end in an even number, so it is not divisible by 2.
2. **Check 3**: The sum of the digits is 9 + 1 = 10. Since 10 is not divisible by 3, 91 is not divisible by 3.
3. **Check 5**: 91 does not end in 0 or 5, so it is not divisible by 5.
4. **Check 7**: Let's divide 91 by 7.
7 × 10 = 70.
91 - 70 = 21.
7 × 3 = 21.
Therefore, 7 × 13 = 91.
Since 91 is divisible by 7 and 13 (meaning it has divisors other than 1 and itself), it is not a prime number.
[No]
End of response · 14 lines · 691 characters · sha256 36de24527afab8b89bc547f51148b431d929094ec3e979a7ad14a5a188662cf8