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On Lucas's Test for the Primality of Mersenne's Numbers
Journal of the London Mathematical Society, 1935Beweis des Satzes: Ist \(p\) eine Primzahl \((\neq 2)\), so ist \(N = 2^p - 1\) dann und nur dann eine Primzahl, wenn das \((n - 1)\)-te Glied der Reihe \(S_1 = 4, \ldots, S_k= S_{k-1}^2 - 1\) teilbar ist durch \(N\). Ein Teil dieses Satzes ist von Lucas; sein Beweis war nicht einwandfrei. Verf. gebraucht die Reihe \(U_r =\frac{(a^r - b^r)}{(a - b)}\),
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Lucas's Tests for Mersenne Numbers
The American Mathematical Monthly, 1945(1945). Lucas's Tests for Mersenne Numbers. The American Mathematical Monthly: Vol. 52, No. 4, pp. 188-190.
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Expansion of Analytic Functions in Terms Involving Lucas Numbers or Similar Number Sequences
Paul F. Byrd
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Any Lucas Number L 5p , for any Prime p ≥ 5, Has at Least Two Distinct Primitive Prime Divisors
Dov Jarden
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Expansion of the Fibonacci Number F nm in n TH Powers of Fibonacci or Lucas Numbers
A.S. Gladwin
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On the Rank of Appearance and the Number of Zeros of the Lucas Sequences over $$ {\mathbb{F}_{q}} $$
Siguna Müller
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