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On the product of consecutive elements of an arithmetic progression

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Abstract

A product ofkk 0 (d) consecutive members of an arithmetic progression of differenced cannot be a proper power.

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References

  1. Sylvester, J. J.: On arithmetic series. Messenger Math.21, 1–19 and 87–120 (1982).

    Google Scholar 

  2. Rosser, J. B., Schoenfeld, L.: Approximate formulas for some functions of prime numbers. Illinois J. Math.,6, 64–94 (1962).

    Google Scholar 

  3. Erdös, P., Selfridge, J. L.: The product of consecutive integers is never a power. Illinois J. Math.,19, 292–301 (1975).

    Google Scholar 

  4. Langevin, M.: Plus grand facteur premier d'entiers en progression arithmétique, Séminaire Delange-Pisot-Poitou. 18e annèe. Fasc. 1, Exp. 3 (1977).

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Marszalek, R. On the product of consecutive elements of an arithmetic progression. Monatshefte für Mathematik 100, 215–222 (1985). https://doi.org/10.1007/BF01299269

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  • DOI: https://doi.org/10.1007/BF01299269

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