Question

When is the earliest large prime gap also the latest large prime gap?

score 64 · Answer 1 · 2014-07-18 01:06:47

64

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When is the earliest large prime gap also the latest large prime gap?

Published on 18 Jul 2014 - 1:06

score 241 · Answer 2 · 2014-08-01 18:52:54

241

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Cramér's Model - “The Prime Numbers and Their Distribution” - Part 4

Published on 01 Aug 2014 - 18:52

score 4.8k · Answer 3 · 2014-08-11 11:03:34

4.8k

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Sorting of prime gaps

Published on 11 Aug 2014 - 11:03

score 503 · Answer 4 · 2014-09-02 09:56:42

503

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Firoozbakht's conjecture and maximal gaps

Published on 02 Sep 2014 - 9:56

score 201 · Answer 5 · 2014-09-05 13:23:24

201

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Difference between two (not consecutive) primes

Published on 05 Sep 2014 - 13:23

score 141 · Answer 6 · 2014-10-18 03:46:20

141

Views

Search for very large prime (greater than $2^{57885161} − 1$) between Crystal Numbers

Published on 18 Oct 2014 - 3:46

score 2k · Answer 7 · 2014-10-19 18:00:06

2k

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On the difference between consecutive primes

Published on 19 Oct 2014 - 18:00

score 46 · Answer 8 · 2014-10-25 23:35:37

46

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Does there exist a positive integer $k$ such that $(g_i^k)_{i=1}^{\infty},\ g_i^k=p_{i+k}-p_i$ is non-decreasing for all sufficiently large $i$?

Published on 25 Oct 2014 - 23:35

score 73 · Answer 9 · 2014-10-26 02:07:08

73

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Does there exist a sequence $(S_i)_{i=1}^{\infty},\ S_i=\pm1$ such that $\forall i(2+S_1g_1+S_2g_2+\cdots+S_ig_i\in\Bbb P)\wedge\exists i:S_i=-1$?

Published on 26 Oct 2014 - 2:07

score 168 · Answer 10 · 2026-03-25 09:43:09

168

Views

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 25 Mar 2026 - 9:43

score 338 · Answer 11 · 2014-11-09 04:25:43

338

Views

Corollaries of Green-Tao Theorem?

Published on 09 Nov 2014 - 4:25

score 454 · Answer 12 · 2026-03-19 19:00:36

454

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this is a conjecture or a result? every arithmetic progression contains a sequence of $k$ "consecutive" primes for possibly all natural numbers $k$?

Published on 19 Mar 2026 - 19:00

score 302 · Answer 13 · 2014-11-26 19:27:04

302

Views

Largest prime factor of a Mersenne number with exactly two prime divisors

Published on 26 Nov 2014 - 19:27

score 160 · Answer 14 · 2019-10-15 15:44:59

160

Views

Unique sequences of prime patterns due to primes as offset

Published on 15 Oct 2019 - 15:44

score 116 · Answer 15 · 2019-11-05 20:55:58

116

Views

Distribution of Primes (elementary)

Published on 05 Nov 2019 - 20:55

List Question

When is the earliest large prime gap also the latest large prime gap?

Cramér's Model - “The Prime Numbers and Their Distribution” - Part 4

Sorting of prime gaps

Firoozbakht's conjecture and maximal gaps

Difference between two (not consecutive) primes

Search for very large prime (greater than $2^{57885161} − 1$) between Crystal Numbers

On the difference between consecutive primes

Does there exist a positive integer $k$ such that $(g_i^k)_{i=1}^{\infty},\ g_i^k=p_{i+k}-p_i$ is non-decreasing for all sufficiently large $i$?

Does there exist a sequence $(S_i)_{i=1}^{\infty},\ S_i=\pm1$ such that $\forall i(2+S_1g_1+S_2g_2+\cdots+S_ig_i\in\Bbb P)\wedge\exists i:S_i=-1$?

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?"

Corollaries of Green-Tao Theorem?

this is a conjecture or a result? every arithmetic progression contains a sequence of $k$ "consecutive" primes for possibly all natural numbers $k$?

Largest prime factor of a Mersenne number with exactly two prime divisors

Unique sequences of prime patterns due to primes as offset

Distribution of Primes (elementary)

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