Question

Is the set of almost perfect numbers closed under multiplication?

score 85 · Answer 1 · 2026-03-26 12:06:30

85

Views

Is the set of almost perfect numbers closed under multiplication?

Published on 26 Mar 2026 - 12:06

score 286 · Answer 2 · 2017-03-31 01:15:47

286

Views

A new property of Rowland's sequence or there is a counterexample? Each element $a_i$ is a witness of a greater $a_j$ whose index $j$ is always prime

Published on 31 Mar 2017 - 1:15

score 125 · Answer 3 · 2026-03-26 12:08:23

125

Views

If $q^k n^2$ is an odd perfect number with Euler prime $q$, is it possible to have $n\sigma(n)=q\sigma(q^k)$?

Published on 26 Mar 2026 - 12:08

score 87 · Answer 4 · 2026-03-24 23:44:28

87

Views

Can we find such triples systematically , or is it a "lucky strike"?

Published on 24 Mar 2026 - 23:44

score 534 · Answer 5 · 2023-02-05 02:58:53

534

Views

Conjecture about difference of Fibonacci numbers and primes

Published on 05 Feb 2023 - 2:58

score 110 · Answer 6 · 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 7 · 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 128 · Answer 8 · 2023-02-23 17:47:50

128

Views

A question about $3$-smooth differences between primes

Published on 23 Feb 2023 - 17:47

score 274 · Answer 9 · 2026-03-26 13:47:59

274

Views

Determining whether $\sigma(q^k)/2$ is squarefree, where $q^k n^2$ is an odd perfect number with special prime $q$

Published on 26 Mar 2026 - 13:47

score 329 · Answer 10 · 2023-03-01 19:22:45

329

Views

Are there an infinity of consecutive primes that have no common digit?

Published on 01 Mar 2023 - 19:22

score 40 · Answer 11 · 2023-03-05 15:44:13

40

Views

A graph where for each pair of vertices, there exist a vértice adjacent to both and a vértice adjacent to neither

Published on 05 Mar 2023 - 15:44

score 93 · Answer 12 · 2023-03-06 12:28:42

93

Views

Every bipartite graph is an induced subgraph of a hypercube graph?

Published on 06 Mar 2023 - 12:28

score 77 · Answer 13 · 2023-03-09 18:25:23

77

Views

Certain primes $p$ which seems to be $\equiv 1\pmod{10}$

Published on 09 Mar 2023 - 18:25

score 33 · Answer 14 · 2023-03-11 23:19:38

33

Views

Conjectures with the strongest numerical evidence later proven to be false

Published on 11 Mar 2023 - 23:19

score 73 · Answer 15 · 2023-03-12 02:33:17

73

Views

Strengthening of FLT

Published on 12 Mar 2023 - 2:33

List Question

Is the set of almost perfect numbers closed under multiplication?

A new property of Rowland's sequence or there is a counterexample? Each element $a_i$ is a witness of a greater $a_j$ whose index $j$ is always prime

If $q^k n^2$ is an odd perfect number with Euler prime $q$, is it possible to have $n\sigma(n)=q\sigma(q^k)$?

Can we find such triples systematically , or is it a "lucky strike"?

Conjecture about difference of Fibonacci numbers and 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 $x \leq 1,000,000$).

A question about $3$-smooth differences between primes

Determining whether $\sigma(q^k)/2$ is squarefree, where $q^k n^2$ is an odd perfect number with special prime $q$

Are there an infinity of consecutive primes that have no common digit?

A graph where for each pair of vertices, there exist a vértice adjacent to both and a vértice adjacent to neither

Every bipartite graph is an induced subgraph of a hypercube graph?

Certain primes $p$ which seems to be $\equiv 1\pmod{10}$

Conjectures with the strongest numerical evidence later proven to be false

Strengthening of FLT

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