منابع مشابه
On Generalized Elite Primes
A prime number p is called b-elite if only finitely many generalized Fermat numbers Fb,n = b 2 + 1 are quadratic residues to p. So far, only the case b = 2 was subjected to theoretical and experimental researches by several authors. Most of the results obtained for this special case can be generalized for all bases b > 2. Moreover, the generalization allows an insight to more general structures...
متن کاملOn Lucky Primes
Winkler (1988) and Pauer (1992) present algorithms for a Hensel lifting of a modular Gröbner basis over lucky primes to a rational one. They have to solve a linear system with modular polynomial entries that requires another (modular) Gröbner basis computation. After an extension of luckiness to arbitrary (commutative noetherian) base rings we show in this paper that for a homogeneous polynomia...
متن کاملLandau’s Problems on Primes
In his invited address at the 1912 International Congress of Mathematicians, held in Cambridge, Edmund Landau (1912) gave a survey about developments in the theory of prime numbers and the Riemann zeta-function. Besides this he mentioned (without any further discussion) four specific problems about primes which he considered as “unattackable at the present state of science”. The four problems (...
متن کاملA Note on Artinian Primes and Second Modules
Prime submodules and artinian prime modules are characterized. Furthermore, some previous results on prime modules and second modules are generalized.
متن کاملOn Small Intervals Containing Primes
Let p be an odd prime, such that pn < p/2 < pn+1, where pn is the n-th prime. We study the following question: with what probability does there exist a prime in the interval (p, 2pn+1)? After the strong definition of the probability with help of the Ramanujan primes ([11], [12])and the introducing pseudo-Ramanujan primes, we show, that if such probability P exists, then P ≥ 0.5. We also study a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: <i>WORD</i>
سال: 1959
ISSN: 0043-7956,2373-5112
DOI: 10.1080/00437956.1959.11659696