Fibonacci Numbers with a Prescribed Block of Digits Article Swipe
Related Concepts
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Pavel Trojovský
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YOU?
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· 2020
· Open Access
·
· DOI: https://doi.org/10.3390/math8040639
· OA: W3020284151
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.3390/math8040639
· OA: W3020284151
In this paper, we prove that F 22 = 17711 is the largest Fibonacci number whose decimal expansion is of the form a b … b c … c . The proof uses lower bounds for linear forms in three logarithms of algebraic numbers and some tools from Diophantine approximation.
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