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The intrinsic divisors of Lehmer numbers in the case of negative discriminant. (English) Zbl 0106.03105


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number theory
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[1] Browkin, J., Schinzel, A., Sur les nombres de Mersenne qui sont triangulaires. C. R. Paris242, 1780–81 (1956). · Zbl 0070.27102
[2] Chowla, P., A class of Diophantine equations. Proc. Nat. Acad. Sci., U.S.A.45, 569–570 (1959). · Zbl 0084.27105 · doi:10.1073/pnas.45.4.569
[3] Chowla, S., Dunton, M., Lewis, D. J., All integral solutions of 2n–7=x2 are given byn=3, 4, 5, 7, 15. Det Kongl. Norske Vidensk. Selsk. Forhandl.B 33, nr. 9 (1960). · Zbl 0096.25903
[4] Durst, L. K., Exceptional real Lehmer sequences, Pacific Journal of Math.9, 437–441 (1959). · Zbl 0091.04204
[5] –, Exceptional real Lucas sequences, Pacific Journal of Math.11, 489–494 (1961). · Zbl 0112.26905
[6] Gelfond, A. O., Transcendental and Algebraic Numbers. New York, 1960. · Zbl 0090.26103
[7] Nagell, T.,, Løste oppgaver. Norsk Matematisk Tidsskrift30, 62–64 (1948).
[8] –, The Diophantine equation x2+7=2n. Arkiv för Matematik4, 182–185 (1961).
[9] Sierpiński, W., Sur deux suites recurrentes. Matematiche Catania12, 23–30 (1957). · Zbl 0178.37401
[10] Skolem, T., Chowla, S., Lewis, D. J., The Diophantine equation 2n+2–7=x2 and related problems. Proc. Amer. Math. Soc.10, 663–669 (1959). · Zbl 0089.26701
[11] Ward, M., The intrinsic divisors of Lehmer numbers. Annals of Math. (2)62, 230–236 (1955). · Zbl 0065.27102 · doi:10.2307/1969677
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