Lower bounds for the solutions in the second case of Fermat's equation with prime power exponents
Maohua Le (1993)
Colloquium Mathematicae
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Displaying similar documents to “On systems of composite Lehmer numbers with prime indices”
Lower bounds for the solutions in the second case of Fermat's equation with prime power exponents
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In this paper, under a mild hypothesis, we prove a conjecture of Gross for the Stickelberger element of the maximal abelian extension over the rational function field unramified outside a set of four degree-one places.
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J. Browkin, A. Schinzel (1995)
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W. Sierpiński asked in 1959 (see [4], pp. 200-201, cf. [2]) whether there exist infinitely many positive integers not of the form n - φ(n), where φ is the Euler function. We answer this question in the affirmative by proving Theorem. None of the numbers (k = 1, 2,...) is of the form n - φ(n).
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