Open Access

Proth Numbers

Formalized Mathematics's Cover Image
Formalized Mathematics
Special Issue: 25 years of the Mizar Mathematical Library

Cite

[1] Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41–46, 1990.Search in Google Scholar

[2] Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91–96, 1990.Search in Google Scholar

[3] J. Buchmann and V. Müller. Primality testing. 1992.Search in Google Scholar

[4] Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47–53, 1990.Search in Google Scholar

[5] Yoshinori Fujisawa, Yasushi Fuwa, and Hidetaka Shimizu. Public-key cryptography and Pepin’s test for the primality of Fermat numbers. Formalized Mathematics, 7(2):317–321, 1998.Search in Google Scholar

[6] Yuichi Futa, Hiroyuki Okazaki, Daichi Mizushima, and Yasunari Shidama. Operations of points on elliptic curve in projective coordinates. Formalized Mathematics, 20(1):87–95, 2012. doi:10.2478/v10037-012-0012-2.10.2478/v10037-012-0012-2Search in Google Scholar

[7] Andrzej Kondracki. Basic properties of rational numbers. Formalized Mathematics, 1(5):841–845, 1990.Search in Google Scholar

[8] Rafał Kwiatek. Factorial and Newton coefficients. Formalized Mathematics, 1(5):887–890, 1990.Search in Google Scholar

[9] Rafał Kwiatek and Grzegorz Zwara. The divisibility of integers and integer relatively primes. Formalized Mathematics, 1(5):829–832, 1990.Search in Google Scholar

[10] Hiroyuki Okazaki and Yasunari Shidama. Uniqueness of factoring an integer and multiplicative group Z/pZ. Formalized Mathematics, 16(2):103–107, 2008. doi:10.2478/v10037- 008-0015-1.Search in Google Scholar

[11] Piotr Rudnicki and Andrzej Trybulec. Abian’s fixed point theorem. Formalized Mathematics, 6(3):335–338, 1997.Search in Google Scholar

[12] Andrzej Trybulec and Czesław Byliński. Some properties of real numbers. Formalized Mathematics, 1(3):445–449, 1990.Search in Google Scholar

[13] Michał J. Trybulec. Integers. Formalized Mathematics, 1(3):501–505, 1990.Search in Google Scholar

[14] Wojciech A. Trybulec. Groups. Formalized Mathematics, 1(5):821–827, 1990.Search in Google Scholar

[15] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67–71, 1990.Search in Google Scholar

[16] Li Yan, Xiquan Liang, and Junjie Zhao. Gauss lemma and law of quadratic reciprocity. Formalized Mathematics, 16(1):23–28, 2008. doi:10.2478/v10037-008-0004-4.10.2478/v10037-008-0004-4Search in Google Scholar

eISSN:
1898-9934
Language:
English
Publication timeframe:
4 times per year
Journal Subjects:
Computer Sciences, other, Mathematics, General Mathematics