Consecutive integers in the form $ a^x+y^b $
Let $ a, b $ and $ k $ be integers greater than $ 1 $. For a tuple of $ k $ consecutive integers sorted in ascending order, denoted by $ T_k $, call $ T_k $ a nice $ k $-tuple if each integer of $ T_k $ is a sum of two powers of the form $ a^x+y^b $ and a perfect $ k $-tuple if each integer of $ T_k...
Main Authors: | Zhen Pu, Kaimin Cheng |
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Format: | Article |
Language: | English |
Published: |
AIMS Press
2023-05-01
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Series: | AIMS Mathematics |
Subjects: | |
Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023899?viewType=HTML |
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