| Sharpening “PRIMES is in P” for a large family of numbers P Berrizbeitia Mathematics of computation 74 (252), 2043-2059, 2005 | 66 | 2005 |
| On cycles in the sequence of unitary Cayley graphs P Berrizbeitia, RE Giudici Discrete Mathematics 282 (1-3), 239-243, 2004 | 62 | 2004 |
| Cubic reciprocity and generalised Lucas-Lehmer tests for primality of 𝐴. 3ⁿ±1 P Berrizbeitia, T Berry Proceedings of the American Mathematical Society 127 (7), 1923-1925, 1999 | 34 | 1999 |
| Counting pure k cycles in sequences of Cayley graphs P Berrizbeitia, RE Giudici Discrete Mathematics 149 (1-3), 11-18, 1996 | 29 | 1996 |
| Random walks on edge-transitive graphs (II) JL Palacios, JM Renom, P Berrizbeitia Statistics & probability letters 43 (1), 25-32, 1999 | 17 | 1999 |
| Biquadratic reciprocity and a Lucasian primality test P Berrizbeitia, T Berry Mathematics of computation 73 (247), 1559-1564, 2004 | 15 | 2004 |
| A generalization of Proth's theorem P Berrizbeitia, TG Berry, J Tena-Ayuso ACTA ARITHMETICA-WARSZAWA- 110 (2), 107-115, 2003 | 14 | 2003 |
| Generalized strong pseudoprime tests and applications P Berrizbeitia, TG Berry Journal of Symbolic Computation 30 (2), 151-160, 2000 | 14 | 2000 |
| On the Lefschetz zeta function and the minimal sets of Lefschetz periods for Morse–Smale diffeomorphisms on products of ℓ-spheres P Berrizbeitia, MJ González, VF Sirvent Topology and its Applications 235, 428-444, 2018 | 11 | 2018 |
| On Cullen numbers which are both Riesel and Sierpiński numbers P Berrizbeitia, JG Fernandes, MJ González, F Luca, VJM Huguet Journal of Number Theory 132 (12), 2836-2841, 2012 | 10 | 2012 |
| Gaussian mersenne and eisenstein mersenne primes P Berrizbeitia, B Iskra Mathematics of computation 79 (271), 1779-1791, 2010 | 10 | 2010 |
| Pseudocubes and primality testing P Berrizbeitia, S Müller, HC Williams Algorithmic Number Theory: 6th International Symposium, ANTS-VI, Burlington …, 2004 | 9 | 2004 |
| On products of shifted primes P Berrizbeitia, P Elliott Analytic and Elementary Number Theory: A Tribute to Mathematical Legend Paul …, 1998 | 9 | 1998 |
| Additive properties of multiplicative subgroups of finite index in fields P Berrizbeitia Proceedings of the American Mathematical Society 112 (2), 365-369, 1991 | 9 | 1991 |
| Deterministic primality test for numbers of the form 𝐴˛. 3ⁿ+ 1, 𝑛≥ 3 odd P Berrizbeitia, B Iskra Proceedings of the American Mathematical Society 130 (2), 363-365, 2002 | 7 | 2002 |
| On the formula Fp = u2 + pv2 JJ Alba González, P Berrizbeitia, F Luca International Journal of Number Theory 11 (01), 185-191, 2015 | 6 | 2015 |
| On the Lefschetz zeta function for quasi-unipotent maps on the n-dimensional torus P Berrizbeitia, VF Sirvent Journal of Difference Equations and Applications 20 (7), 961-972, 2014 | 6 | 2014 |
| A generalization of Miller˘s primality theorem P Berrizbeitia, A Olivieri Proceedings of the American Mathematical Society 136 (9), 3095-3104, 2008 | 6 | 2008 |
| On the Lefschetz zeta function for quasi-unipotent maps on the n-dimensional torus. II: The general case P Berrizbeitia, MJ González, A Mendoza, VF Sirvent Topology and its Applications 210, 246-262, 2016 | 5 | 2016 |
| Primality test for numbers M with a large power of 5 dividing M4− 1 P Berrizbeitia, M Odremán, JT Ayuso Theoretical computer science 297 (1-3), 25-36, 2003 | 5 | 2003 |
