Language:

  • English (en)English
  • Deutsch (de)Deutsch
  • Foreword
  • Prime number, definitions
  • The odd sieve
  • Prime number, definition by sets
  • The general set operation to determine all prime numbers in a selected range
  • The determination of all prime numbers in a selected range with the u-method
  • The determination of all prime numbers in a selected range with the n-method
  • The n-primality test
  • About the actual number of primes (1)
  • The dual prime function
  • The sine primality test
  • About the actual number of primes (2)
  • Sine-formula for all primes greater than 2 and all composite uneven numbers indirectly
  • Infinite prime number formulas thanks to Eratosthenes
  • About the actual number of primes (3)
  • The prime number function, the prime number theorem and the actual number of prime numbers
  • Mystery about the set of all prime numbers solved
  • An exact prime number function
  • The next prime number
  • The Sine Test
  • Fermat prime number test without Fermat pseudoprime numbers?
  • Generating all Fermat pseudoprimes incl. Carmichael numbers
  • Euler’s prime number formula with sieve factor function
  • All prime numbers greater than 2
  • One formula for all prime numbers
  • Fundamental theorem of number theory refuted and corrected
  • FAQs
  • About this Website

Language:

  • English (en)English
  • Deutsch (de)Deutsch

THE PRIME NUMBER SERIES

  • Foreword
  • Prime number, definitions
  • The odd sieve
  • Prime number, definition by sets
  • The general set operation to determine all prime numbers in a selected range
  • The determination of all prime numbers in a selected range with the u-method
  • The determination of all prime numbers in a selected range with the n-method
  • The n-primality test
  • About the actual number of primes (1)
  • The dual prime function
  • The sine primality test
  • About the actual number of primes (2)
  • Sine-formula for all primes greater than 2 and all composite uneven numbers indirectly
  • Infinite prime number formulas thanks to Eratosthenes
  • About the actual number of primes (3)
  • The prime number function, the prime number theorem and the actual number of prime numbers
  • Mystery about the set of all prime numbers solved
  • An exact prime number function
  • The next prime number
  • The Sine Test
  • Fermat prime number test without Fermat pseudoprime numbers?
  • Generating all Fermat pseudoprimes incl. Carmichael numbers
  • Euler’s prime number formula with sieve factor function
  • All prime numbers greater than 2
  • One formula for all prime numbers
  • Fundamental theorem of number theory refuted and corrected
  • FAQs
  • About this Website

(Deutsch) Die i-te Primzahl

Sorry, this entry is only available in German.