The repdigits that are sums of two Perrin numbers were studied mainly.The problem is equivalent to solving a Diophantine equation.First,the Baker method was applied to obtain an upper bound of this Diophan-tine equation.Then,this upper bound was reduced to a computable range by using the reduction method.Fi-nally,with the help of Mathematica,all repdigits with more than two digits that can be expressed as the sum of two Perrin numbers within this range are found to be 22,44,and 666.
关键词
Perrin序列/纯位数/丢番图方程/对数线性型/Baker-Davenport引理
Key words
Perrin numbers/repdigits/diophantine equations/linear forms in logarithms/Baker-Davenport Lemma
维普
万方数据