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Recommend a good read on prime sieving for primes of the form $x^2 + y^2$

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#prime-numbers #sieve-theory
275
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Sieving integers

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#number-theory #prime-numbers #sieve-theory
406
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Explanation for Terry T. post

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#number-theory #elementary-number-theory #prime-numbers #asymptotics #sieve-theory
64
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well known sieve?

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#elementary-number-theory #sieve-theory
133
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Finding the prime factorizations of the numbers in the range $[1,10^8]$

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#number-theory #algorithms #sieve-theory
1.6k
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Can the Sieve of Eratosthenes have a range?

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#prime-numbers #prime-factorization #sieve-theory
85
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Why are all numbers below n / 2 factors of at least one number above n / 2?

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#divisibility #factoring #sieve-theory
583
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Prime Counting Function from the Sieve of Eratosthenes

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#prime-numbers #sieve-theory #distribution-of-primes
77
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Understanding Lemma 2.1 in P. Erdos and I. Z. Ruzsa's "On the Small Sieve. I, Sifting by Primes.

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#elementary-number-theory #inequality #proof-explanation #sieve-theory
397
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A proof for the generalizated Brun's theorem about the summability of the reciprocal of twin primes

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#reference-request #summation #prime-numbers #sieve-theory
21
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Can sieve operations be compared in this way?

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#elementary-number-theory #sieve-theory
327
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Is this a new twin prime sieve?

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#twin-primes #sieve-theory
741
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New lower limit for the number of twin primes $\pi_2(n)$

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#prime-numbers #twin-primes #sieve-theory
49
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Estimating an error term when counting primes

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#elementary-number-theory #prime-numbers #analytic-number-theory #sieve-theory
59
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Characteristic function of a divisibility sieve (like Eratosthenes) is periodic for finite sieving set.

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#elementary-number-theory #elementary-set-theory #divisibility #integers #sieve-theory

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