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Repdigits,Base,b,as,Difference,of,Two,Fibonacci,Numbers

来源:公文范文 时间:2023-12-23 10:00:05 推荐访问: Base Based Difference

Zafer S¸iar,Fatih Erduvanand Refik Keskin,∗

1Bing¨ol University,Department of Mathematics,Bing¨ol 12000,Turkey.

2Sakarya University,Department of Mathematics,Sakarya TR-54187,Turkey.

Abstract.In this paper,we find all repdigits expressible as difference of two Fibonacci numbers in base b for 2≤b≤10.The largest repdigits in base b,which can be written as difference of two Fibonacci numbers are

Key words:Fibonacci numbers,repdigit,Diophantine equations,linear forms in logarithms.

Acknowledgments

We thank the referee for his/her suggestions which improved the quality of this paper.

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