منابع مشابه
Are There Infinitely Many Twin Primes ?
Is this observation a true fact? Certainly it is easy to verify that no matter where you look among the numbers you find plenty of primes. From a scientific point of view you can do billions of experiments with your mathematical package and always find primes. It can be tested more often and more precisely than any law of physics. You can safely bet the family farm on this and still sleep sound...
متن کاملThere are Infinitely Many Perrin Pseudoprimes
This paper proves the existence of infinitely many Perrin pseudoprimes, as conjectured by Adams and Shanks in 1982. The theorem proven covers a general class of pseudoprimes based on recurrence sequences. The result uses ingredients of the proof of the infinitude of Carmichael numbers, along with zero-density estimates for Hecke L-functions.
متن کاملThere Are Infinitely Many Prime Twins
Here we will show that T (s)− B2(s − 1) −1 can be continuously extended onto the line Re s = 1, (Th.1). This enables application of the powerful complex Tauberian theorem of Wiener and Ikehara (1931) and then almost immediately yields our main result, (Th.2). The ideas basic to our proof of Th.1 are plain: We are striving to exhibit a relation between T (s) and the Riemann Zeta function ζ(s); m...
متن کاملInfinitely many associated primes of Frobenius powers and local cohomology
A modification of Katzman’s example is given to produce a two-generated ideal in a two-dimensional Noetherian integral domain for which the set of associated primes of all the Frobenius powers is infinite. A further modification yields a four-dimensional Noetherian integral domain and a five-dimensional Noetherian local integral domain for which an explicit second local cohomology module has in...
متن کاملDeciding whether there are infinitely many prime graphs with forbidden induced subgraphs
7 A homogeneous set of a graph G is a set X of vertices such that 2 ≤ |X| < |V (G)| 8 and no vertex in V (G) − X has both a neighbor and a non-neighbor in X. A graph 9 is prime if it has no homogeneous set. We present an algorithm to decide whether a 10 class of graphs given by a finite set of forbidden induced subgraphs contains infinitely 11 many non-isomorphic prime graphs. 12
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ژورنال
عنوان ژورنال: Bulletin of Mathematical Sciences and Applications
سال: 2013
ISSN: 2278-9634
DOI: 10.18052/www.scipress.com/bmsa.5.22