{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T17:48:35Z","timestamp":1777484915515,"version":"3.51.4"},"reference-count":11,"publisher":"Walter de Gruyter GmbH","issue":"1","license":[{"start":{"date-parts":[[2023,9,1]],"date-time":"2023-09-01T00:00:00Z","timestamp":1693526400000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-sa\/3.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2023,9,1]]},"abstract":"<jats:title>Summary<\/jats:title>\n                  <jats:p>This paper continues the formalization of problems defined in the book \u201c250 Problems in Elementary Number Theory\u201d by Wac\u0142aw Sierpi\u0144ski.<\/jats:p>","DOI":"10.2478\/forma-2023-0016","type":"journal-article","created":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T13:42:24Z","timestamp":1704116544000},"page":"171-180","source":"Crossref","is-referenced-by-count":1,"title":["Elementary Number Theory Problems. Part X \u2013 Diophantine Equations"],"prefix":"10.2478","volume":"31","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4565-9082","authenticated-orcid":false,"given":"Artur","family":"Korni\u0142owicz","sequence":"first","affiliation":[{"name":"Faculty of Computer Science , University of Bia\u0142ystok , Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2023,12,31]]},"reference":[{"key":"2026042801431621284_j_forma-2023-0016_ref_001","doi-asserted-by":"crossref","unstructured":"Grzegorz Bancerek, Czes\u0142aw Byli\u0144ski, Adam Grabowski, Artur Korni\u0142owicz, Roman Matuszewski, Adam Naumowicz, Karol P\u0105k, and Josef Urban. Mizar: State-of-the-art and beyond. In Manfred Kerber, Jacques Carette, Cezary Kaliszyk, Florian Rabe, and Volker Sorge, editors, Intelligent Computer Mathematics, volume 9150 of Lecture Notes in Computer Science, pages 261\u2013279. Springer International Publishing, 2015. ISBN 978-3-319-20614-1. doi:10.1007\/978-3-319-20615-8_17.","DOI":"10.1007\/978-3-319-20615-8_17"},{"key":"2026042801431621284_j_forma-2023-0016_ref_002","doi-asserted-by":"crossref","unstructured":"Grzegorz Bancerek, Czes\u0142aw Byli\u0144ski, Adam Grabowski, Artur Korni\u0142owicz, Roman Matuszewski, Adam Naumowicz, and Karol P\u0105k. The role of the Mizar Mathematical Library for interactive proof development in Mizar. Journal of Automated Reasoning, 61(1):9\u201332, 2018. doi:10.1007\/s10817-017-9440-6.","DOI":"10.1007\/s10817-017-9440-6"},{"key":"2026042801431621284_j_forma-2023-0016_ref_003","doi-asserted-by":"crossref","unstructured":"Artur Korni\u0142owicz. Flexary connectives in Mizar. Computer Languages, Systems & Structures, 44:238\u2013250, December 2015. doi:10.1016\/j.cl.2015.07.002.","DOI":"10.1016\/j.cl.2015.07.002"},{"key":"2026042801431621284_j_forma-2023-0016_ref_004","doi-asserted-by":"crossref","unstructured":"Artur Korni\u0142owicz. Elementary number theory problems. Part VIII. Formalized Mathematics, 31(1):87\u2013100, 2023. doi:10.2478\/forma-2023-0009.","DOI":"10.2478\/forma-2023-0009"},{"key":"2026042801431621284_j_forma-2023-0016_ref_005","doi-asserted-by":"crossref","unstructured":"Artur Korni\u0142owicz. Elementary number theory problems. Part IX. Formalized Mathematics, 31(1):161\u2013169, 2023. doi:10.2478\/forma-2023-0015.","DOI":"10.2478\/forma-2023-0015"},{"key":"2026042801431621284_j_forma-2023-0016_ref_006","doi-asserted-by":"crossref","unstructured":"Adam Naumowicz. Dataset description: Formalization of elementary number theory in Mizar. In Christoph Benzm\u00fcller and Bruce R. Miller, editors, Intelligent Computer Mathematics \u2013 13th International Conference, CICM 2020, Bertinoro, Italy, July 26\u201331, 2020, Proceedings, volume 12236 of Lecture Notes in Computer Science, pages 303\u2013308. Springer, 2020. doi:10.1007\/978-3-030-53518-6_22.","DOI":"10.1007\/978-3-030-53518-6_22"},{"key":"2026042801431621284_j_forma-2023-0016_ref_007","doi-asserted-by":"crossref","unstructured":"Adam Naumowicz. Extending numeric automation for number theory formalizations in Mizar. In Catherine Dubois and Manfred Kerber, editors, Intelligent Computer Mathematics \u2013 16th International Conference, CICM 2023, Cambridge, UK, September 5\u20138, 2023, Proceedings, volume 14101 of Lecture Notes in Computer Science, pages 309\u2013314. Springer, 2023. doi:10.1007\/978-3-031-42753-4_23.","DOI":"10.1007\/978-3-031-42753-4_23"},{"key":"2026042801431621284_j_forma-2023-0016_ref_008","doi-asserted-by":"crossref","unstructured":"Marco Riccardi. Solution of cubic and quartic equations. Formalized Mathematics, 17(2): 117\u2013122, 2009. doi:10.2478\/v10037-009-0012-z.","DOI":"10.2478\/v10037-009-0012-z"},{"key":"2026042801431621284_j_forma-2023-0016_ref_009","unstructured":"Wac\u0142aw Sierpi\u0144ski. Elementary Theory of Numbers. PWN, Warsaw, 1964."},{"key":"2026042801431621284_j_forma-2023-0016_ref_010","unstructured":"Wac\u0142aw Sierpi\u0144ski. 250 Problems in Elementary Number Theory. Elsevier, 1970."},{"key":"2026042801431621284_j_forma-2023-0016_ref_011","doi-asserted-by":"crossref","unstructured":"Rafa\u0142 Ziobro. Prime factorization of sums and differences of two like powers. Formalized Mathematics, 24(3):187\u2013198, 2016. doi:10.1515\/forma-2016-0015.","DOI":"10.1515\/forma-2016-0015"}],"container-title":["Formalized Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/reference-global.com\/pdf\/10.2478\/forma-2023-0016","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T14:24:43Z","timestamp":1777386283000},"score":1,"resource":{"primary":{"URL":"https:\/\/reference-global.com\/article\/10.2478\/forma-2023-0016"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,9,1]]},"references-count":11,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2023,12,31]]},"published-print":{"date-parts":[[2023,9,1]]}},"alternative-id":["10.2478\/forma-2023-0016"],"URL":"https:\/\/doi.org\/10.2478\/forma-2023-0016","relation":{},"ISSN":["1898-9934"],"issn-type":[{"value":"1898-9934","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,9,1]]}}}