典型文献
Repdigits Base b as Difference of Two Fibonacci Numbers
文献摘要:
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 F9-F4=34-3=31=(11111)2,F14-F7=377-13=364=(111111)3,F14-F7=377-13=364=(222)4,F9-F4=34-3=31=(111)5,F11-F4=89-3=86=(222)6,F13-F5=233-5=228=(444)7,F10-F2=55-1=54=(66)8,F14-F7=377-13=364=(444)9,and F15-F10=610-55=555=(555)10.As a result,it is shown that the largest Fibonacci number which can be written as a sum of a repdigit and a Fibonacci number is F15=610=555+55=555+F10.
文献关键词:
中图分类号:
作者姓名:
Zafer ?iar;Fatih Erduvan;Refik Keskin
作者机构:
Bing?l University,Department of Mathematics,Bing?l 12000,Turkey;Sakarya University,Department of Mathematics,Sakarya TR-54187,Turkey
文献出处:
引用格式:
[1]Zafer ?iar;Fatih Erduvan;Refik Keskin-.Repdigits Base b as Difference of Two Fibonacci Numbers)[J].数学研究(英文),2022(01):84-94
A类:
Repdigits,repdigits,expressible,repdigit,555+55,555+F10
B类:
Base,Difference,Two,Fibonacci,Numbers,In,this,paper,we,find,all,difference,two,numbers,base,largest,which,can,written,are,F9,F4,F14,F7,F11,F13,F5,F2,F15,result,shown,that,sum
AB值:
0.389078
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