Zsigmondy ’ s Theorem

  title={Zsigmondy ’ s Theorem},
  author={Bart Michels},
  • Bart Michels
  • Published 2014
The theorem was discovered by Zsigmondy in 1892 and independently rediscovered by Birkhoff and Vandiver in 1904. The special case where b = 1 was discovered earlier by Bang in 1886. The proof we present is mainly a reformulation of Birkhoff and Vandivers proof, which was published in 1904, see [1]. [1, Theorem 1] is nowadays, among Olympiad enthousiasts, known as a case of the Lifting The Exponent Lemma. Here we present this Lemma as Lemma 5, for a proof we refer to [4]. We give a shorter proof… CONTINUE READING