Autour des plus grands facteurs premiers d’entiers consÉcutifs voisins d’un entier criblÉ
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Publication:4684308
DOI10.1093/qmath/hay010zbMath1444.11195OpenAlexW2782618828MaRDI QIDQ4684308
Publication date: 28 September 2018
Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/qmath/hay010
Applications of sieve methods (11N36) Distribution of integers with specified multiplicative constraints (11N25)
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Three conjectures on \(P^+(n)\) and \(P^+(n+1)\) hold under the Elliott-Halberstam conjecture for friable integers ⋮ Solution to a problem of Luca, Menares and Pizarro-Madariaga ⋮ On a conjecture on shifted primes with large prime factors ⋮ On the smooth values of shifted almost-primes ⋮ On shifted primes with large prime factors and their products ⋮ Primes in arithmetic progressions with friable indices ⋮ Averaged forms of two conjectures of Erdős and Pomerance, and their applications ⋮ The reciprocal sum of divisors of Mersenne numbers ⋮ Ramanujan-style congruences for prime level ⋮ On sum of prime factors of composite positive integers
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