Riemann Hypothesis Quiz: Test Your Math Smarts
Published Jul 9, 2026 · Updated Jul 31, 2026 · Editorial Team
A fun, easy‑level quiz to see how much you know about the famous Riemann Hypothesis and related concepts.
❓ 9 Questions
⏱️ 5 Minutes
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Question 1 of 90 correct
⏱️ 04:30
QUESTION 1
What is the Riemann Hypothesis primarily about?
All Questions in This Quiz
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What is the Riemann Hypothesis primarily about?
- A. Distribution of prime numbers
- B. Zeros of the Riemann zeta function
- C. Solutions to Fermat's last theorem
- D. Value of pi
The Riemann zeta function is defined for complex numbers s with real part > 1 by the series Σ_{n=1}^{∞} 1/n^s. What is ζ(2)?
- A. π^2/6
- B. 1
- C. ∞
- D. 0
The "critical line" in the Riemann Hypothesis refers to which vertical line in the complex plane?
- A. Re(s)=0
- B. Re(s)=1/2
- C. Re(s)=1
- D. Im(s)=0
The nontrivial zeros of the Riemann zeta function are known to lie in which strip?
- A. 0 < Re(s) < 1
- B. 0 < Im(s) < 1
- C. -1 < Re(s) < 0
- D. Re(s) > 1
If the Riemann Hypothesis is true, what does it imply about the error term in the prime number theorem?
- A. The error term is O(x^{1/2} log x)
- B. The error term is zero
- C. The error term grows exponentially
- D. No implication
Which of the following is a trivial zero of the Riemann zeta function?
- A. s = -2
- B. s = 1/2 + i14.13
- C. s = 1
- D. s = iπ
The Riemann Hypothesis is one of the seven Millennium Prize Problems. What is the prize for solving it?
- A. $1 million
- B. Fields Medal
- C. Nobel Prize
- D. Turing Award
Which function is linked to the primes through the Euler product formula?
- A. Gamma function
- B. Riemann zeta function
- C. Lambert W function
- D. Beta function
Numerical computations have verified the Riemann Hypothesis for roughly how many of the first nontrivial zeros?
- A. 10^13
- B. 10^6
- C. 10^3
- D. 10^9
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