Results 31 to 40 of about 70 (69)
Factorizations of a^n±1, 13 ≤ a < 100
As an extension of the "Cunningham" tables, we present tables of factorizations of a n \Sigma 1 for 13 a ! 100. The exponents n satisfy a n ! 10 255 if a ! 30, and n 100 if a 30.
Richard P. Brent, Herman J. J. te Riele
core
Factorizations of a^n ± 1, 13 ≤ a < 100: Update 2
This Report updates the tables of factorizations of a n \Sigma 1 for 13 a ! 100, previously published as CWI Report NM-R9212 (June 1992) and updated in CWI Report NM-R9419 (September 1994). A total of 760 new entries in the tables are given here.
Thomas Sosnowski +6 more
core
Update 1 to: Factorizations of a
In an earlier Report (NM-R9212, June 1992), two of us gave tables of factorizations of a n \Sigma 1 for 13 a ! 100. The exponents n satisfied a n ! 10 255 if a ! 30, and n 100 if a 30.
Sigma Richard +3 more
core
On the ratio of the sum of divisors and Euler’s Totient Function I
We prove that the only solutions to the equation σ(n)=2φ(n) with at most three distinct prime factors are 3, 35 and 1045. Moreover, there exist at most a finite number of solutions to σ(n)=2φ(n) with Ω(n)≤ k, and there are at most 22k+k-k squarefree ...
Delbourgo, Daniel, Broughan, Kevin A.
core
Eine in vivo Modifizierung von Blutstammzellen wäre für eine Reihe gentherapeutischer Therapieansätze vorteilhaft. Dies würde voraussetzen, dass retrovirale Vektoren gezielt auf Blutstammzellen ausgerichtet werden können.
Bobkova, Maria
core
This work presents a comprehensive study on the distribution of prime numbers through geometric and arithmetic methodologies, offering new insights into their behavior and verifying several conjectures, including Legendre’s, Oppermann’s, Brocard’s, and ...
Charles Kusniec
core +1 more source
On a question of A. Schinzel: Omega estimates for a special type of arithmetic functions
Kühleitner Manfred, Nowak Werner
doaj +1 more source
On certain arithmetic functions involving the greatest common divisor
Krätzel Ekkehard +2 more
doaj +1 more source
Fowlpox virus recombinants expressing the envelope glycoprotein of an avian reticuloendotheliosis retrovirus induce neutralizing antibodies and reduce viremia in chickens. [PDF]
Calvert JG +3 more
europepmc +1 more source
Magnetic resonance evaluation of tubercular lesion in spine. [PDF]
Jain AK +5 more
europepmc +1 more source

