List questions from twin-primes

Published on 12 Apr 2026 - 3:10

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Prime Reflections

Published on 30 Apr 2026 - 2:30

271

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Asymptotic Expression for the Twin Prime Counting Function

Published on 17 Apr 2026 - 7:31

170

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Let $g_n^k=p_{n+k}-p_n$, where $p_n$ is the $n$th prime. Does there exist $g_{k+1}^1=2$ such that $g_1^k,g_2^k,\ldots$ is a "Gilbreath sequence?"

Published on 16 Apr 2026 - 4:58

191

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Is there is any result claiming that there cannot be any other twin Mersenne primes?

Published on 14 Apr 2026 - 20:23

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What is wrong with this proposed proof of the twin prime conjecture?

Published on 10 Apr 2026 - 21:03

457

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Twin Primes between $n$ and $2n$

Published on 13 Apr 2026 - 17:20

94

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My attempt to prove the twin prime conjecture

Published on 25 Mar 2026 - 9:37

78

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Prime twins $ (3^n - 2, 3^n - 4) $ conjecture

Published on 25 Mar 2026 - 9:37

72

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What is known about this twin prime-power counting function?

Published on 25 Mar 2026 - 9:36

35

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Is $\pi(N+2)\sim \sum_{p_{n+2}\in\Bbb P}^{N+2} p_n^{\frac{1}{\log(p_{n+2})}}?$

Published on 25 Mar 2026 - 9:39

94

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Elementary proofs for weaker statements than the Twin Prime Conjecture

Published on 25 Mar 2026 - 9:37

112

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Brun's paper on convergent sum of reciprocals of twin primes

Published on 25 Mar 2026 - 9:43

789

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Whats wrong with this model theoretic proof of the twin primes conjecture?

Published on 25 Mar 2026 - 9:38

145

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Congruences with twin prime numbers

Published on 25 Mar 2026 - 9:34

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What if a conjecture were provably unprovable?

Prime Reflections

Asymptotic Expression for the Twin Prime Counting Function

Let $g_n^k=p_{n+k}-p_n$, where $p_n$ is the $n$th prime. Does there exist $g_{k+1}^1=2$ such that $g_1^k,g_2^k,\ldots$ is a "Gilbreath sequence?"

Is there is any result claiming that there cannot be any other twin Mersenne primes?

What is wrong with this proposed proof of the twin prime conjecture?

Twin Primes between $n$ and $2n$

My attempt to prove the twin prime conjecture

Prime twins $ (3^n - 2, 3^n - 4) $ conjecture

What is known about this twin prime-power counting function?

Is $\pi(N+2)\sim \sum_{p_{n+2}\in\Bbb P}^{N+2} p_n^{\frac{1}{\log(p_{n+2})}}?$

Elementary proofs for weaker statements than the Twin Prime Conjecture

Brun's paper on convergent sum of reciprocals of twin primes

Whats wrong with this model theoretic proof of the twin primes conjecture?

Congruences with twin prime numbers

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