The Deny Proof of the Palindrome Number Conjecture

نویسندگان

چکیده

Palindrome number conjecture: Take any non-palindromic natural with two or more digits, add its inverse ordinal number, continue to use the inverted of sum plus sum, repeat this process continuously. After a finite operations, palindrome must be obtained. We firstly give out several definitions: The pure-single-digit-of-sum is single digits that only count numbers same digit in vertical operation addition, which referred as pure for short, denoted by g. pure-carry-digit-of-sum carry counts bit addition. It special composed 1 and 0, represented j'. complement-0-carry-digit-of-sum supplement 0 on last side j' according rule adding bits, j. Therefore, addition operation, divided into parts: g Then, characteristics j are characterized following theorems: Theorem 1: As all number; not number. 2: H non-palindrome Then we proved conjecture correct using above theorems.

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ژورنال

عنوان ژورنال: Advances in Pure Mathematics

سال: 2022

ISSN: ['2160-0368', '2160-0384']

DOI: https://doi.org/10.4236/apm.2022.124026