Effectively computable bounds for the solutions of certain diophantine equations
Eine Bemerkung zu den vollkommenen Zahlen.
Eine Bemerkung zum Sieb des Eratosthenes.
El Famoso Polinomio Generador De Primos De Euler Y El Numero De Clase De Los Cuerpos Cuadraticos Imaginarios.
Elementare Abschätzungen für das kleinste gemeinsame Vielfache.
Equations involving arithmetic functions of factorials.
Erdős-Turán type inequalities.
Estimates for the sequence of primes.
E-symmetric numbers
A positive integer n is called E-symmetric if there exists a positive integer m such that |m-n| = (ϕ(m),ϕ(n)), and n is called E-asymmetric if it is not E-symmetric. We show that there are infinitely many E-symmetric and E-asymmetric primes.
Étude sur la théorie des résidus cubiques.
Experimental results on probable primality.
Extension aux nombres premiers complexes des théorèmes de M. Tchebicheff
Facteurs premiers des coefficients binomiaux
Factorisation de fractions rationnelles et de suites récurrentes
Further results on a generalization of Bertrand's postulate.
Further results on primes in small intervals.
Generalizing a theorem of Schur
In a letter written to Landau in 1935, Schur stated that for any integer , there are primes such that . In this note, we use the Prime Number Theorem and extend Schur’s result to show that for any integers and real , there exist primes such that
Inequalities concerning the function π(x): Applications
Introduction. In this note we use the following standard notations: π(x) is the number of primes not exceeding x, while . The best known inequalities involving the function π(x) are the ones obtained in [6] by B. Rosser and L. Schoenfeld: (1) x/(log x - 1/2) < π(x) for x ≥ 67 (2) x/(log x - 3/2) > π(x) for . The proof of the above inequalities is not elementary and is based on the first 25 000 zeros of the Riemann function ξ(s) obtained by D. H. Lehmer [4]. Then Rosser, Yohe and Schoenfeld...
Infinitude of Wilson primes for
Involutions Associated With Sums of two Squares