<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this paper another twelve problems from W. Sierpiński’s book “250 Problems in Elementary Number Theory” are formalized, using the Mizar formalism, namely: 42, 43, 51, 51a, 57, 59, 72, 135, 136, and 153–155. Significant amount of the work is devoted to arithmetic progressions.</p>
</abstract>

In this paper another twelve problems from W. Sierpiński’s book “250 Problems in Elementary Number Theory” are formalized, using the Mizar formalism, namely: 42, 43, 51, 51a, 57, 59, 72, 135, 136, and 153–155. Significant amount of the work is devoted to arithmetic progressions.

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

Formalized Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this paper another twelve problems from W. Sierpiński’s book “250 Problems in Elementary Number Theory” are formalized, using the Mizar formalism, namely:...

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

Published Online: Dec 31, 2023

Page range: 277 - 286

Accepted: Dec 18, 2023

DOI: https://doi.org/10.2478/forma-2023-0022

Keywords
number theory, primes, arithmetic progression

© 2023 Adam Grabowski, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Dec 31, 2023

Page range: 277 - 286

Accepted: Dec 18, 2023

DOI: https://doi.org/10.2478/forma-2023-0022

Keywordsnumber theory, primes, arithmetic progression

© 2023 Adam Grabowski, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
number theory, primes, arithmetic progression