Unsolved problems in number theory

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68 unsolved problems and conjectures in number theory are presented and briefly discussed. The topics covered are: additive representation functions, the Erdos-Fuchs theorem, multiplicative problems (involving general sequences), additive and multiplicative Sidon sets, hybrid problems (i.e., problems involving both special and general sequences), arithmetic functions, the greatest prime factor function and mixed problems.

Original languageEnglish
Pages (from-to)17-35
Number of pages19
JournalPeriodica Mathematica Hungarica
Issue number1-2
Publication statusPublished - Dec 1 2001



  • Number theory
  • Unsolved problems

ASJC Scopus subject areas

  • Mathematics(all)

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