Open Access

Elementary Number Theory Problems. Part XII – Primes in Arithmetic Progression

   | Dec 31, 2023

Cite

Leonard Eugene Dickson. History of Theory of Numbers. New York, 1952. Search in Google Scholar

Adam Grabowski. Elementary number theory problems. Part VI. Formalized Mathematics, 30(3):235–244, 2022. doi:10.2478/forma-2022-0019. Search in Google Scholar

Adam Grabowski. Polygonal numbers. Formalized Mathematics, 21(2):103–113, 2013. doi:10.2478/forma-2013-0012. Search in Google Scholar

Adam Grabowski and Christoph Schwarzweller. Translating mathematical vernacular into knowledge repositories. In Michael Kohlhase, editor, Mathematical Knowledge Management, volume 3863 of Lecture Notes in Computer Science, pages 49–64. Springer, 2006. doi:10.1007/11618027 4. 4th International Conference on Mathematical Knowledge Management, Bremen, Germany, MKM 2005, July 15–17, 2005, Revised Selected Papers. Search in Google Scholar

Adam Grabowski, Artur Korniłowicz, and Adam Naumowicz. Mizar in a nutshell. Journal of Formalized Reasoning, 3(2):153–245, 2010. Search in Google Scholar

Artur Korniłowicz. Flexary connectives in Mizar. Computer Languages, Systems & Structures, 44:238–250, December 2015. doi:10.1016/j.cl.2015.07.002. Search in Google Scholar

Artur Korniłowicz and Adam Naumowicz. Elementary number theory problems. Part V. Formalized Mathematics, 30(3):229–234, 2022. doi:10.2478/forma-2022-0018. Search in Google Scholar

Adam Naumowicz. Dataset description: Formalization of elementary number theory in Mizar. In Christoph Benzmüller and Bruce R. Miller, editors, Intelligent Computer Mathematics – 13th International Conference, CICM 2020, Bertinoro, Italy, July 26–31, 2020, Proceedings, volume 12236 of Lecture Notes in Computer Science, pages 303–308. Springer, 2020. doi:10.1007/978-3-030-53518-6 22. Search in Google Scholar

Adam Naumowicz. Extending numeric automation for number theory formalizations in Mizar. In Catherine Dubois and Manfred Kerber, editors, Intelligent Computer Mathematics – 16th International Conference, CICM 2023, Cambridge, UK, September 5–8, 2023, Proceedings, volume 14101 of Lecture Notes in Computer Science, pages 309–314. Springer, 2023. doi:10.1007/978-3-031-42753-4 23. Search in Google Scholar

Christoph Schwarzweller. Proth numbers. Formalized Mathematics, 22(2):111–118, 2014. doi:10.2478/forma-2014-0013. Search in Google Scholar

Wacław Sierpiński. Elementary Theory of Numbers. PWN, Warsaw, 1964. Search in Google Scholar

Wacław Sierpiński. 250 Problems in Elementary Number Theory. Elsevier, 1970. Search in Google Scholar

Nguyen Xuan Tho. On a remark of Sierpiński. Rocky Mountain Journal of Mathematics, 52(2):717–726, 2022. doi:10.1216/rmj.2022.52.717. Search in Google Scholar

Rafał Ziobro. Fermat’s Little Theorem via divisibility of Newton’s binomial. Formalized Mathematics, 23(3):215–229, 2015. doi:10.1515/forma-2015-0018. Search in Google Scholar

eISSN:
1898-9934
Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Computer Sciences, other, Mathematics, General Mathematics