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Let $K / ℚ$ be an algebraic number field of class number one and let $𝒪_{K}$ be its ring of integers. We show that there are infinitely many non-Wieferich primes with respect to certain units in $𝒪_{K}$ under the assumption of the $a b c$ -conjecture for number fields.

Note sur les sommes des puissances semblables des n premiers nombres entiers

Édouard Amigues (1871)

Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale

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Displaying 1 – 7 of 7

Něco málo o prvočíslech

Neuer Beweis eines Fundamentaltheorems aus der Theorie der Substitutionslehre

New prime gaps between 10 15 and 5 × 10 16 .

New Quadratic Forms with High Density of Primes.

Nombres ayant de grands facteurs premiers

Non-Wieferich primes in number fields and a b c -conjecture

Note sur les sommes des puissances semblables des n premiers nombres entiers

Currently displaying 1 – 7 of 7

New prime gaps between $10^{15}$ and $5 \times 10^{16}$ .

Non-Wieferich primes in number fields and $a b c$ -conjecture