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Some unconventional problems in number theory

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  • For a collection of some older problems of this and related type, see P. Erdős, “Some recent advances and current problems in number theory”, Lectures in modern mathematics (ed. Saaty), vol. 3 (Wiley, New York, 1965), 196–244. This contains an extensive bibliography.

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  • Some more recent problems on consecutive integers are discussed in P. Erdős, “Problems and results on number theoretic properties of consecutive integers and related problems”, Proceedings of the 5th Manitoba conference on numerical mathematics (1975). See also P. Erdős, “Problems and results on combinatorial number theory III.” Number theory day Proc., New York, 1976, Lecture Notes in Math. 26, Springer Verlag, 43–72, finally P. Erdős, “Some unconventional problems in number theory”, will soon appear in Math. Magazine.

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Dedicated to the 80th birthday of my friend George Alexits

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Erdős, P. Some unconventional problems in number theory. Acta Mathematica Academiae Scientiarum Hungaricae 33, 71–80 (1979). https://doi.org/10.1007/BF01903382

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