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8 - Congruences to Composite Moduli

Table of contents

  • 8.1 Linear Congruences
  • 8.2 Congruences to a Higher Degree
  • 8.3 Congruences to a Prime-Power Modulus
  • 8.4 Examples
  • 8.5 Bauer’s Identical Congruence
  • 8.6 Bauer’s Congruence: the Case p = 2
  • 8.7 A Theorem of Leudesdorf
  • 8.8 Further Consequences of Bauer’s Theorem
  • 8.9 The Residues of 2^{p - 1} and (p-1)! to modulus p^2

8.1 Linear Congruences

8.2 Congruences to a Higher Degree

8.3 Congruences to a Prime-Power Modulus

8.4 Examples

8.5 Bauer’s Identical Congruence

8.6 Bauer’s Congruence: the Case p=2

8.7 A Theorem of Leudesdorf

8.8 Further Consequences of Bauer’s Theorem

8.9 The Residues of 2p−1 and (p−1)! to modulus p2


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