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The intrinsic divisors of Lehmer numbers in the case of negative discriminant

https://doi.org/10.1007/bf02591623
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4/4 checkable references clean · checked 2026-08-12

Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.

7 without a DOI — not checked. A reference deposited without a DOI is never matched by title or guessed at; it stays outside the checked set, and this line discloses that.

The 4 checked references that resolve
resolves10.1073/pnas.45.4.569
A CLASS OF DIOPHANTINE EQUATIONS
resolves10.2140/pjm.1959.9.437
Exceptional real Lehmer sequences
resolves10.2140/pjm.1961.11.489
Exceptional real Lucas sequences
resolves10.2307/1969677
The Intrinsic Divisors of Lehmer Numbers
The 7 references without a DOI — listed, not checked
no DOI — not checkedBrowkin, J., Schinzel, A., Sur les nombres de Mersenne qui sont triangulaires. C. R. Paris242, 1780–81 (1956).
no DOI — not checkedChowla, 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).
no DOI — not checkedGelfond, A. O., Transcendental and Algebraic Numbers. New York, 1960.
no DOI — not checkedNagell, T.,, Løste oppgaver. Norsk Matematisk Tidsskrift30, 62–64 (1948).
no DOI — not checked—, The Diophantine equation x2+7=2n. Arkiv för Matematik4, 182–185 (1961).
no DOI — not checkedSierpiński, W., Sur deux suites recurrentes. Matematiche Catania12, 23–30 (1957).
no DOI — not checkedSkolem, T., Chowla, S., Lewis, D. J., The Diophantine equation 2n+2–7=x2 and related problems. Proc. Amer. Math. Soc.10, 663–669 (1959).
What this badge says. CiteStamped means the CHECKABLE references of this work were clean at the dated check: each resolved to a known work in a public registry, and none carried a retraction notice at that time. It says nothing about the quality, findings, or importance of the work itself, and nothing about references deposited without a DOI.

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