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math.GM2021★ 1 cited
On the distribution of consecutive composite odd numbers and twin primes
Marc Wolf, FranÇOis Wolf, FranÇOis-Xavier Villemin
We study pairs of consecutive odd numbers through a straightforward indexing. We focus in particular on twin primes and their distribution. With a counting argument, we calculate t…
math.GM2021
Primality test and primes enumeration using odd numbers indexation
Marc Wolf, François Wolf
Odd numbers can be indexed by the map k(n)=(n-3)/2, n belonging to 2N+3. We first propose a basic primality test using this index function that was first introduced in article (8).…
math.GM2021
The Disproof of the Riemann Hypothesis
C. Dumitrescu, M. Wolf
We show that there is a contradiction between the Riemann's Hypothesis and some form of the theorem on the universality of the zeta function.