On finding all positive integers a,b such that b\± a and ab are\n palindromic

2018/12/20 by Wang Pok Lo, Lo, Wang Pok, Yuval Paz +1
Engineering · Mathematics · #00A08 #Advanced Combinatorial Mathematics #Commutative Algebra and Its Applications #FOS: Mathematics #History and Overview (math.HO) #Limits and Structures in Graph Theory #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1812.08807

openalex publication_date 2018/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is proven that the only integer solutions (a,b) such that a+b and ab\nare palindromic are (2,5\⋅ 10^k-3), (3,24) and (9,9), and in a similar\nfashion, b-a and ab are only palindromic at (a,b)=(3,147\⋅\n10^4(k+1)+5247\∑_i=0^k10⁴ⁱ), (3,161 ,247\⋅\n10^4k+7+5247\∑_i=0^k10⁴ⁱ⁺³+387), (3,147) and (3,161 ,247 ,387)\nfor k=0,1,2,\⋯. Note a\≤ b without loss of generality.\n

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