Remarks on exponential congruences and powerful numbers

DOI10.1016/0022-314X(88)90104-7zbMath0651.10012MaRDI QIDQ1106255

Paulo Ribenboim

Publication date: 1988

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Fermat's last theoremconsecutive powerful numbersexponential congruences

Mathematics Subject Classification ID

Higher degree equations; Fermat's equation (11D41) Distribution of integers with specified multiplicative constraints (11N25)

Cites Work

• Théorème de Brun-Titchmarsh; application au théorème de Fermat
• Consecutive powers
• On powerful numbers
• Powerless in face of the powers
• On the square-freeness of Fermat and Mersenne numbers
• The First Case of Fermat's Last Theorem is True for all Prime Exponents up to 714,591,416,091,389
• On the equation $y^m = P(x)$
• The first case of Fermat's last theorem
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