The abc conjecture and non-Wieferich primes in arithmetic progressions

Author:

Graves Hester,Ram Murty M.

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference5 articles.

1. On the set of Wieferich primes and of its complement;De Koninck;Ann. Univ. Sci. Budapest. Sect. Comput.,2007

2. Problems in Analytic Number Theory;Ram Murty,2008

3. The nth prime is greater than nlog(n);Rosser;Proc. London Math. Soc.,1938

4. Wieferichʼs criterion and the abc-conjecture;Silverman;J. Number Theory,1988

5. The least prime congruent to one modulo n;Thangadurai;Amer. Math. Monthly,2011

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1. On Wieferich and Non-Wieferich Primes with Prime Bases;Mediterranean Journal of Mathematics;2023-01-31

2. Lucas non-Wieferich primes in arithmetic progressions and the abc conjecture;Open Mathematics;2023-01-01

3. A note on $p$-rational fields and the abc-conjecture;Proceedings of the American Mathematical Society;2020-04-14

4. Fibonacci numbers and real quadratic p-rational fields;Periodica Mathematica Hungarica;2020-03-24

5. Practice of the Incomplete $p$-Ramification Over a Number Field -- History of Abelian $p$-Ramification;Communications in Advanced Mathematical Sciences;2019-12-29

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