SU\G(𝔸)/K·U

On The Number of Positive Integers ≤ x and Free of Prime Factors > y

N.G. de Bruijn

Type: Article

Publication Date: 1951-01-01

Citations: 316

DOI: https://doi.org/10.1016/s1385-7258(51)50008-2

Locations

  • Indagationes Mathematicae (Proceedings) - View

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Works That Cite This (281)

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+ Integers without large prime factors: from Ramanujan to de Bruijn 2012 Pieter Moree
+ Largest component in random combinatorial structures 1998 Xavier Gourdon
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+ Some Ramanujan-Nagell equations with many solutions 1990 Pieter Moree
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+ PDF Chat Fast and rigorous factorization under the generalized Riemann hypothesis 1988 Arjen K. Lenstra
+ On the distribution of gaps between consecutive primes 2014 J. Pintz
+ PDF Chat Large time behavior of a linear delay differential equation with asymptotically small coefficient 2014 Mihály Pituk
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+ PDF Chat Lucas pseudoprimes 1980 Robert Baillie
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+ Dickman polylogarithms and their constants 2010 David J. Broadhurst

Works Cited by This (5)

Action Title Year Authors
+ The number of positive integers ≤x and free of prime divisors >xc, and a problem of S. S. Pillai 1949 V. Ramaswami
+ The asymptotic behaviour of a function occuring in the theory of primes 1951 de Ng Dick Bruijn
+ The Difference between Consecutive Prime Numbers, III 1947 R. A. Rankin
+ On the Largest Prime Divisors of Numbers 1947 S. Chowla
T. Vijayaraghavan
+ On the frequency of numbers containing prime factors of a certain relative magnitude 1930 Kern W. Dickman