Notes, Proofs and other Comments

By Chris Caldwell

This page indexes the notes, proofs, frequently asked questions... from the The Prime Pages.

• The PrimePages' Crackpot index
• Conjectures and Open Questions (index)
• Dirichlet's Theorem on Primes in Arithmetic Progressions
• Frequently Asked Questions about Primes (index)
• Letters
  • New values of πぱい(x) (18 Apr 1996)
  • New values of πぱい(x) (19 Jun 1996)
  • Factorization of RSA-130 (12 Apr 1996)
• Lists of Record Primes
  • This List of Largest Known Primes
  • Lists of Primes
• M₁₀₇: Fauquembergue or Powers
• Probable-primes: How Probable?
• Record Primes
  • A 49th Mersenne: 2^74207281-1
  • Lightening strikes twice: 2^43112609-1 and 2^37156667-1
  • A 40th Mersenne: 2^20996011-1
  • Giant Slaying Refined: 2^3021377-1 (index)
  • GIMPS finds another record prime: 2^2976221-1 (index)
  • And the Winning Number is: 2^6972593-1 (index)
  • GIMPS finds a record prime: 2^1398269-1 (index)
  • A Record Breaking Prime! 2^1257787-1
  • The finding of the 32nd Mersenne
• Selected Theorems and their Proofs (index)
• The Prime Lexicon
• The Gaps Between Primes
• The Largest Known prime by Year: A Brief History
• The Riemann Hypothesis
• What is the probability that gcd(n,m)=1?
• Mill's Constant