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How does a Lehmer Sieve work?

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#elementary-number-theory #computer-science #math-history #factoring #sieve-theory
174
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Sizes of Blocks of Consecutive Integers Divisible by at Least One Prime Less than or Equal to $r$.

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#number-theory #prime-numbers #sieve-theory
157
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Fast algorithm for generating consecutive primes larger than N

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#number-theory #prime-numbers #sieve-theory
426
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Is the Legendre sieve explicit?

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#prime-numbers #sieve-theory
130
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Factors of integers of the form $2^n-1$

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#prime-numbers #divisibility #sieve-theory
338
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Brun's sieve bounds

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#analytic-number-theory #sieve-theory
457
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Twin Primes between $n$ and $2n$

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#number-theory #sieve-theory #twin-primes
92
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Arithmetic functions of particular type

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#analytic-number-theory #sieve-theory
279
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parity problems for sieve methods, is it only for Selberg Sieve or for all sieve methods?

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#number-theory #analytic-number-theory #riemann-hypothesis #sieve-theory #goldbachs-conjecture
48
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Generating the Sieve of Sundaram excluded index values

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#prime-numbers #algorithms #sieve-theory
68
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sieve theory uniform weights versus non-uniform weights question

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#number-theory #prime-numbers #sieve-theory
141
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uniformity distributed among residue classes

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#number-theory #prime-numbers #sieve-theory
66
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notation meaning in the book "Introduction to Analytic and Probabilistic Number Theory"

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#number-theory #elementary-number-theory #functions #notation #sieve-theory
55
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When or how can basic sieve failures occur, if ever?

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#elementary-number-theory #prime-numbers #quadratic-residues #sums-of-squares #sieve-theory
252
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How can wheel factorization be used to improve Sieve of Eratosthenes?

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#discrete-mathematics #sieve-theory

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