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Lychrel number
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{{Short description|Number, non-palindrome after repeated sum with reverse}} {{unsolved|mathematics|Do any base-10 Lychrel numbers exist?}} A '''Lychrel number''' is a [[natural number]] that cannot form a [[Palindromic number|palindrome]] through the [[iteration|iterative]] process of repeatedly reversing its digits and adding the resulting numbers. This process is sometimes called the ''196-algorithm'', after the most famous number associated with the process. In [[base ten]], no Lychrel numbers have been yet [[mathematical proof|proven]] to exist, but many, including 196, are suspected on [[heuristics|heuristic]]<ref>{{cite web |last=O'Bryant |first=Kevin |date=26 December 2012 |title=Reply to ''Status of the 196 conjecture?'' |website=[[MathOverflow]] |url=https://mathoverflow.net/q/117277 }}</ref> and [[statistics|statistical]] grounds. The name "Lychrel" was coined by Wade Van Landingham as a rough [[anagram]] of "Cheryl", his girlfriend's first name.<ref>{{Cite web|url=https://www.p196.org/faq.html|archive-url=https://web.archive.org/web/20061201050326/https://www.p196.org/faq.html|url-status=dead|archive-date=2006-12-01|title=FAQ}}</ref>
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