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Bits of \(3^n\) in binary, Wieferich primes and a conjecture of Erdős

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Publication:495292
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DOI10.1016/J.JNT.2015.05.022zbMath1339.11006OpenAlexW1244140038WikidataQ123356640 ScholiaQ123356640MaRDI QIDQ495292

David E. Weirich, Taylor Dupuy

Publication date: 9 September 2015

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.05.022


zbMATH Keywords

Erdős conjectureWieferich primes


Mathematics Subject Classification ID

Radix representation; digital problems (11A63)


Related Items (4)

Pseudorandom sequences derived from automatic sequences ⋮ Digit expansions of numbers in different bases ⋮ On subwords in the base-$q$ expansion of polynomial and exponential functions ⋮ ABC implies there are infinitely many non-Fibonacci-Wieferich primes




Cites Work

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  • Wieferich's criterion and the abc-conjecture
  • Wieferich past and future
  • Old and new conjectured diophantine inequalities
  • Ternary expansions of powers of 2
  • Some unconventional problems in number theory
  • A search for Wieferich and Wilson primes




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