Do Mersenne Primes Go On For Ever?

Open Question

Is there an infinite number of Mersenne primes?


Sources

  • 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $28$
  • 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): Mersenne numbers or Mersenne primes
  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $28$