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This article is cited in 1 scientific paper (total in 1 paper)
Divisibility of Fermat Quotients
Yu. N. Shteinikov M. V. Lomonosov Moscow State University
Abstract:
For any $\varepsilon >0$ and all primes $p$, with the exception of primes from a set with relative zero density, there exists a natural number $a\le(\log p)^{3/2+\varepsilon}$ for which the congruence $a^{p-1}\equiv 1 \,(\operatorname{mod} p^{2})$ does not hold.
Keywords:
Fermat quotient, smooth number, coset, oriented graph.
Received: 19.05.2011
Citation:
Yu. N. Shteinikov, “Divisibility of Fermat Quotients”, Mat. Zametki, 92:1 (2012), 116–122; Math. Notes, 92:1 (2012), 108–114
Linking options:
https://www.mathnet.ru/eng/mzm9484https://doi.org/10.4213/mzm9484 https://www.mathnet.ru/eng/mzm/v92/i1/p116
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Abstract page: | 411 | Full-text PDF : | 192 | References: | 54 | First page: | 18 |
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