Results 51 to 60 of about 11,551,305 (305)
Orderings of weakly correlated random variables, and prime number races with many contestants [PDF]
We investigate the race between prime numbers in many residue classes modulo q, assuming the standard conjectures GRH and LI. Among our results we exhibit, for the first time, n-way prime number races modulo q where the biases do not dissolve when $$n, q\
Adam J. Harper, Youness Lamzouri
semanticscholar +1 more source
Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer [PDF]
A digital computer is generally believed to be an efficient universal computing device; that is, it is believed to be able to simulate any physical computing device with an increase in computation time by at most a polynomial factor. This may not be true
P. Shor
semanticscholar +1 more source
On Waring's problem for a prime modulus
We obtain a lower bound for the minimum over positive integers such that the sum of certain powers of some integers is divisible by a prime number, but none of these integers is divisible by this prime number.
A. Dubickas
doaj +1 more source
Formulae of the Frobenius number in relatively prime three Lucas numbers [PDF]
In this paper, we find the explicit formulae of the Frobenius number for numerical semigroups generated by relatively prime three Lucas numbers 2 , L L i i and Lil for given integers i ≥ 3, l ≥ 4 .
Ratchanok Bokaew +2 more
doaj +1 more source
Close to Uniform Prime Number Generation With Fewer Random Bits [PDF]
In this paper, we analyze several variants of a simple method for generating prime numbers with fewer random bits. To generate a prime $p$ less than $x$ , the basic idea is to fix a constant $q\propto x^{1- \varepsilon }$ , pick a uniformly random ...
Pierre-Alain Fouque, Mehdi Tibouchi
semanticscholar +1 more source
ABSTRACT Background Reduced bone mineral density (BMD) has been reported in survivors of childhood and young adult acute lymphoblastic leukaemia (ALL); however, data from cohorts treated with contemporary protocols and including matched controls remain limited.
Karen Schow Jensen +10 more
wiley +1 more source
Prime labeling of graphs constructed from wheel graph
A prime labeling of a simple undirected graph G is to assign unique integer labels from the set {1,2,...,|V(G)|} to each vertex such that any two adjacent vertices in the graph have labels that are relatively prime.
Baha' Abughazaleh, Omar A. Abughneim
doaj +1 more source
The number of primes is finite [PDF]
For a positive integer n n let
openaire +1 more source
ABSTRACT Background Adult survivors of childhood acute lymphoblastic leukemia (ALL) are at risk of reduced exercise capacity, decreased physical activity levels, persistent fatigue, and neurocognitive deficits. The aim was to investigate exercise capacity and physical activity levels of adult survivors of childhood ALL and their associations with ...
Laura Jess +5 more
wiley +1 more source

