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math.NT2020
Primality tests, linear recurrent sequences and the Pell equation
Danilo Bazzanella, Antonio Di Scala, Simone Dutto +1
We study new primality tests based on linear recurrent sequences of degree two exploiting a matricial approach. The classical Lucas test arises as a particular case and we see how…
math.NT2008
Prime numbers in logarithmic intervals
D. Bazzanella, A. Languasco, A. Zaccagnini
Let be a large parameter. We will first give a new estimate for the integral moments of primes in short intervals of the type , where is a prime number and $…