Question

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

score 76 · Answer 1 · 2017-02-18 15:51:39

76

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

Published on 18 Feb 2017 - 15:51

score 189 · Answer 2 · 2017-03-03 12:52:34

189

Views

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

Published on 03 Mar 2017 - 12:52

score 65 · Answer 3 · 2017-03-09 13:48:37

65

Views

property of prime numbers

Published on 09 Mar 2017 - 13:48

score 47 · Answer 4 · 2026-03-25 14:26:02

47

Views

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

Published on 25 Mar 2026 - 14:26

score 64 · Answer 5 · 2017-03-14 03:47:37

64

Views

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

Published on 14 Mar 2017 - 3:47

score 639 · Answer 6 · 2017-03-20 12:52:33

639

Views

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

Published on 20 Mar 2017 - 12:52

score 778 · Answer 7 · 2017-04-02 19:41:49

778

Views

Gaps between consecutive prime powers

Published on 02 Apr 2017 - 19:41

score 93 · Answer 8 · 2023-02-01 01:27:06

93

Views

Asymptote of the prime gap

Published on 01 Feb 2023 - 1:27

score 49 · Answer 9 · 2023-02-10 16:59:51

49

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 10 Feb 2023 - 16:59

score 100 · Answer 10 · 2026-02-23 06:24:13

100

Views

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

Published on 23 Feb 2026 - 6:24

score 110 · Answer 11 · 2026-03-25 12:50:16

110

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 25 Mar 2026 - 12:50

score 144 · Answer 12 · 2026-03-25 14:36:41

144

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 25 Mar 2026 - 14:36

score 269 · Answer 13 · 2023-04-18 15:34:57

269

Views

Difference of prime powers as linear combination of jumping champions

Published on 18 Apr 2023 - 15:34

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 140 · Answer 15 · 2023-06-19 08:54:09

140

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 19 Jun 2023 - 8:54

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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