The diophantine equation x² + 19 = yⁿ
J. H. E. Cohn (1992)
Acta Arithmetica
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J. H. E. Cohn (1992)
Acta Arithmetica
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J. Browkin, A. Schinzel (1995)
Colloquium Mathematicae
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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).
Zhi-Hong Sun (1998)
Acta Arithmetica
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Wayne McDaniel (1993)
Colloquium Mathematicae
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Maohua Le (1996)
Colloquium Mathematicae
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Maohua Le (1993)
Colloquium Mathematicae
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Tekcan, Ahmet (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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Csajbók, Zoltán (2007)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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