List questions from sieve-theory

Published on 24 Mar 2026 - 9:31

42

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Finite sequence created by reducing $n$ with each prime under $n$ ends in $0$?

Published on 24 Feb 2016 - 5:30

126

Views

Connection between Brun's Sieve and the Sieve of Eratosthenes

Published on 07 Mar 2016 - 19:20

252

Views

Lower bound on $\pi(x)$

Published on 24 Mar 2026 - 9:16

52

Views

Classes of exponent

Published on 25 Mar 2026 - 1:55

798

Views

Can we replace the upper limit condition of the Sieve of Eratosthenes $\sqrt{n}$ with the value $\sqrt{p}$ where $p$ is the last sieved prime $\lt n$?

Published on 11 Apr 2016 - 7:21

114

Views

Theorem precedding Schnirelmann's Theorem

Published on 14 Apr 2016 - 20:35

4.7k

Views

Sum of products of $(1 - 1/p)$

Published on 15 Apr 2016 - 16:47

194

Views

Can you get the average order of $ \left( 1+|\mu(n)| \right)^{M(n)} $, where $\mu(n)$ and $M(n)$ are the Möbius and Mertens functions, respectively

Published on 25 Apr 2016 - 7:30

95

Views

Can you share some information to help study this unified sieve function for prime, twin prime and Goldbach sums of $2n$?

Published on 04 May 2016 - 5:51

479

Views

Is this a new twin prime sieve method? Any information or comments is very appreciated.

Published on 06 May 2016 - 3:09

25

Views

There are at least: $\big\lfloor\sqrt{p_{n}}\big\rfloor(p_{n}-1)-|p_{n}-2n|+1$, primes less than $p_{n}^{2}$, where $p_{n}$ is the $n$-th prime?

Published on 28 May 2016 - 21:02

533

Views

Generate Sieve of Eratosthenes without "sieve" (generate prime set in interval)

Published on 30 Jun 2016 - 5:00

173

Views

Eratosthenes-like sieve - infinitely many left unstruck?

Published on 23 May 2013 - 12:54

1.1k

Views

Space complexity of the segmented sieve of Eratosthenes

Published on 04 Jun 2013 - 15:49

List Question

Twin-prime sieve

Finite sequence created by reducing $n$ with each prime under $n$ ends in $0$?

Connection between Brun's Sieve and the Sieve of Eratosthenes

Lower bound on $\pi(x)$

Classes of exponent

Can we replace the upper limit condition of the Sieve of Eratosthenes $\sqrt{n}$ with the value $\sqrt{p}$ where $p$ is the last sieved prime $\lt n$?

Theorem precedding Schnirelmann's Theorem

Sum of products of $(1 - 1/p)$

Can you get the average order of $ \left( 1+|\mu(n)| \right)^{M(n)} $, where $\mu(n)$ and $M(n)$ are the Möbius and Mertens functions, respectively

Can you share some information to help study this unified sieve function for prime, twin prime and Goldbach sums of $2n$?

Is this a new twin prime sieve method? Any information or comments is very appreciated.

There are at least: $\big\lfloor\sqrt{p_{n}}\big\rfloor(p_{n}-1)-|p_{n}-2n|+1$, primes less than $p_{n}^{2}$, where $p_{n}$ is the $n$-th prime?

Generate Sieve of Eratosthenes without "sieve" (generate prime set in interval)

Eratosthenes-like sieve - infinitely many left unstruck?

Space complexity of the segmented sieve of Eratosthenes

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