List questions from twin-primes

Published on 04 May 2017 - 22:04

869

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Twin Primes by an amateur mathematician

Published on 29 May 2017 - 0:30

79

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about infinitely many bounded prime gaps

Published on 06 Jun 2017 - 11:18

203

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Is it possible a Bonse's inequality for twin primes, on assumption of a form of the Twin Prime conjecture?

Published on 13 Jun 2017 - 10:28

122

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On the asymptotic behaviour as $X\to\infty$ of the sum $\sum\frac{1}{x}$ over every $x\leq X$ such that $\pi_2(x)<2C_2\int_2^x\frac{dt}{\log^2t} $

Published on 14 Jun 2017 - 10:19

403

Views

Proof of minor claim related to the Twin Primes Conjecture

Published on 15 Jun 2017 - 21:48

132

Views

Asymptotic expressions of $\pi_{2}(n), \pi_{4}(n)$ and $\pi_{6}(n)$

Published on 24 Jun 2017 - 8:58

328

Views

Is this a new twin prime sieve?

Published on 26 Mar 2026 - 1:16

742

Views

New lower limit for the number of twin primes $\pi_2(n)$

Published on 25 Mar 2026 - 22:06

333

Views

Is this an unknown pattern in prime numbers?

Published on 01 Jul 2017 - 18:49

86

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Is this an artifact of graphing prime number ratios, or a relationship between twin primes?

Published on 02 Jul 2017 - 0:44

890

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What is the longest sequence of consecutive twin primes known to exist?

Published on 10 Jul 2017 - 7:01

314

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Euler Totient of Numbers Between Twin Primes.

Published on 16 Jul 2017 - 2:28

456

Views

Spot the mistakes? Proof of the Twin Prime conjecture and Goldbach's theorem

Published on 25 Mar 2026 - 22:05

99

Views

Can the twin prime conjecture be stated in terms of ideals in a useful way?

Published on 25 Mar 2026 - 6:07

List Question

Prime Number Congruence Conjecture

Twin Primes by an amateur mathematician

about infinitely many bounded prime gaps

Is it possible a Bonse's inequality for twin primes, on assumption of a form of the Twin Prime conjecture?

On the asymptotic behaviour as $X\to\infty$ of the sum $\sum\frac{1}{x}$ over every $x\leq X$ such that $\pi_2(x)<2C_2\int_2^x\frac{dt}{\log^2t} $

Proof of minor claim related to the Twin Primes Conjecture

Asymptotic expressions of $\pi_{2}(n), \pi_{4}(n)$ and $\pi_{6}(n)$

Is this a new twin prime sieve?

New lower limit for the number of twin primes $\pi_2(n)$

Is this an unknown pattern in prime numbers?

Is this an artifact of graphing prime number ratios, or a relationship between twin primes?

What is the longest sequence of consecutive twin primes known to exist?

Euler Totient of Numbers Between Twin Primes.

Spot the mistakes? Proof of the Twin Prime conjecture and Goldbach's theorem

Can the twin prime conjecture be stated in terms of ideals in a useful way?

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