Question

Sequences of differences between integers with a lowest prime factor of some prime.

score 79 · Answer 1 · 2026-04-15 09:57:54

79

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Sequences of differences between integers with a lowest prime factor of some prime.

Published on 15 Apr 2026 - 9:57

score 192 · Answer 2 · 2026-04-16 12:16:00

192

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Calculate the max gap size out of the Firoozbakht's conjecture

Published on 16 Apr 2026 - 12:16

score 68 · Answer 3 · 2026-04-11 21:27:25

68

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property of prime numbers

Published on 11 Apr 2026 - 21:27

score 50 · Answer 4 · 2026-05-10 19:38:26

50

Views

Longest prime $k$-tuplet such that each prime $p$, $\gcd(p-1, 420) > 2$?

Published on 10 May 2026 - 19:38

score 67 · Answer 5 · 2026-04-12 04:45:49

67

Views

Is it possible to prove that this function $F(X)$ evaluates to $1$ for any positive integer $X$?

Published on 12 Apr 2026 - 4:45

score 642 · Answer 6 · 2026-04-12 23:44:21

642

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Is every finite list of integers coprime to $n$ congruent $\pmod n$ to a list of consecutive primes?

Published on 12 Apr 2026 - 23:44

score 781 · Answer 7 · 2026-04-10 21:56:32

781

Views

Gaps between consecutive prime powers

Published on 10 Apr 2026 - 21:56

score 94 · Answer 8 · 2026-03-26 04:32:02

94

Views

Asymptote of the prime gap

Published on 26 Mar 2026 - 4:32

score 50 · Answer 9 · 2026-03-26 00:53:53

50

Views

Existence of an integer $k$ whose square $k^2$ is the average of two consecutive primes with a gap of size $8$ between them.

Published on 26 Mar 2026 - 0:53

score 102 · Answer 10 · 2026-05-01 16:20:26

102

Views

Best algorithm to tell if an odd semi prime exists between a given pair of even semi primes.

Published on 01 May 2026 - 16:20

score 111 · Answer 11 · 2026-05-10 19:40:55

111

Views

Conjecture. If $n \in \Bbb{N}\setminus 1$ is not a twin prime average, then $n^2 - 1$ is not square-free.

Published on 10 May 2026 - 19:40

score 145 · Answer 12 · 2026-05-10 22:04:32

145

Views

Every twin prime average $x \gt 6$ is the sum of two twin prime averages (Code checked up to $x \leq 1,000,000$).

Published on 10 May 2026 - 22:04

score 270 · Answer 13 · 2026-03-26 00:53:30

270

Views

Difference of prime powers as linear combination of jumping champions

Published on 26 Mar 2026 - 0:53

score 59 · Answer 14 · 2026-03-25 15:12:12

59

Views

$ C_{MRB}=\sum _{x=1}^{\infty } (-1)^x\left(e^{\frac{\log x}{x}}-1\right)$ Is its absolutely convergent arrangement prime number theorem related?

Published on 25 Mar 2026 - 15:12

score 142 · Answer 15 · 2026-05-10 18:30:37

142

Views

An alien gives you a sequence, claiming it is the $1000$ prime gaps starting from the $10^{100}$th prime gap. How to check if they are likely lying?

Published on 10 May 2026 - 18:30

List Question

Sequences of differences between integers with a lowest prime factor of some prime.

Calculate the max gap size out of the Firoozbakht's conjecture

property of prime numbers

Longest prime $k$-tuplet such that each prime $p$, $\gcd(p-1, 420) > 2$?

Is it possible to prove that this function $F(X)$ evaluates to $1$ for any positive integer $X$?

Is every finite list of integers coprime to $n$ congruent $\pmod n$ to a list of consecutive primes?

Gaps between consecutive prime powers

Asymptote of the prime gap

Existence of an integer $k$ whose square $k^2$ is the average of two consecutive primes with a gap of size $8$ between them.

Best algorithm to tell if an odd semi prime exists between a given pair of even semi primes.

Conjecture. If $n \in \Bbb{N}\setminus 1$ is not a twin prime average, then $n^2 - 1$ is not square-free.

Every twin prime average $x \gt 6$ is the sum of two twin prime averages (Code checked up to $x \leq 1,000,000$).

Difference of prime powers as linear combination of jumping champions

$ C_{MRB}=\sum _{x=1}^{\infty } (-1)^x\left(e^{\frac{\log x}{x}}-1\right)$ Is its absolutely convergent arrangement prime number theorem related?

An alien gives you a sequence, claiming it is the $1000$ prime gaps starting from the $10^{100}$th prime gap. How to check if they are likely lying?

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