{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/every-positive-integer-is-a-sum-of-three","title":"Every positive integer is a sum of three palindromes","arxiv_id":"1602.06208","date":"2016-02-19","proceeding":null,"authors":["Javier Cilleruelo","Florian Luca","Lewis Baxter"],"abstract":"For integer $g\\ge 5$, we prove that any positive integer can be written as a sum of three palindromes in base $g$.","url_abs":"http://arxiv.org/abs/1602.06208v2","url_pdf":"http://arxiv.org/pdf/1602.06208v2.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"every-positive-integer-is-a-sum-of-three","repo_url":"https://github.com/TroyLaurin/PalindromeSum","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null},{"paper_slug":"every-positive-integer-is-a-sum-of-three","repo_url":"https://github.com/biswaroop1547/Any_num_as_sum_of_three_palindromes_using_ML","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null},{"paper_slug":"every-positive-integer-is-a-sum-of-three","repo_url":"https://github.com/sorrowfulT-Rex/Python-Palindrome","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}