Question

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

score 67 · Answer 1 · 2026-04-15 14:40:27

67

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

Published on 15 Apr 2026 - 14:40

score 243 · Answer 2 · 2026-04-16 11:20:49

243

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

Published on 16 Apr 2026 - 11:20

score 4.8k · Answer 3 · 2026-05-10 08:42:26

4.8k

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Sorting of prime gaps

Published on 10 May 2026 - 8:42

score 506 · Answer 4 · 2026-04-15 07:46:24

506

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Firoozbakht's conjecture and maximal gaps

Published on 15 Apr 2026 - 7:46

score 204 · Answer 5 · 2026-04-13 04:45:38

204

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Difference between two (not consecutive) primes

Published on 13 Apr 2026 - 4:45

score 144 · Answer 6 · 2026-04-15 04:05:39

144

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

Published on 15 Apr 2026 - 4:05

score 2k · Answer 7 · 2026-04-12 10:16:41

2k

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On the difference between consecutive primes

Published on 12 Apr 2026 - 10:16

score 49 · Answer 8 · 2026-04-15 14:29:45

49

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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 15 Apr 2026 - 14:29

score 76 · Answer 9 · 2026-04-16 05:08:27

76

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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 16 Apr 2026 - 5:08

score 170 · Answer 10 · 2026-04-16 04:58:06

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

score 341 · Answer 11 · 2026-04-12 04:13:14

341

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Corollaries of Green-Tao Theorem?

Published on 12 Apr 2026 - 4:13

score 460 · Answer 12 · 2026-05-06 05:07:02

460

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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 06 May 2026 - 5:07

score 305 · Answer 13 · 2026-04-13 10:49:48

305

Views

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

Published on 13 Apr 2026 - 10:49

score 161 · Answer 14 · 2026-03-25 15:46:09

161

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Unique sequences of prime patterns due to primes as offset

Published on 25 Mar 2026 - 15:46

score 117 · Answer 15 · 2026-03-25 15:39:46

117

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Distribution of Primes (elementary)

Published on 25 Mar 2026 - 15:39

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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