Question

Conjectures on the primality of $\sum\limits_{i=1}^n p_i^{p_i}$ and $\sum\limits_{i=1}^n (-1)^ip_i^{p_i}$

score 150 · Answer 1 · 2019-06-23 09:20:06

150

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Conjectures on the primality of $\sum\limits_{i=1}^n p_i^{p_i}$ and $\sum\limits_{i=1}^n (-1)^ip_i^{p_i}$

Published on 23 Jun 2019 - 9:20

score 40 · Answer 2 · 2019-06-26 01:38:38

40

Views

Uniform residue limits over $\{1,2,\dots,p-1\}$

Published on 26 Jun 2019 - 1:38

score 74 · Answer 3 · 2026-03-25 11:09:52

74

Views

Infinite $\frac{3}{2}$-generated groups?

Published on 25 Mar 2026 - 11:09

score 2k · Answer 4 · 2026-03-25 01:13:04

2k

Views

Conjectured formula for the Fabius function

Published on 25 Mar 2026 - 1:13

score 118 · Answer 5 · 2026-03-25 15:42:33

118

Views

If $q$ is prime, can $\sigma(q^{k-1})$ and $\sigma(q^k)/2$ be both squares when $q \equiv 1 \pmod 4$ and $k \equiv 1 \pmod 4$?

Published on 25 Mar 2026 - 15:42

score 37 · Answer 6 · 2026-03-25 09:28:23

37

Views

Uniqueness of non-completable latin square of size $n$

Published on 25 Mar 2026 - 9:28

score 75 · Answer 7 · 2019-07-07 10:33:53

75

Views

An arithmetic pattern

Published on 07 Jul 2019 - 10:33

score 398 · Answer 8 · 2019-07-07 19:39:27

398

Views

Conjecture: No positive integer can be written as $a^b+b^a$ in more than one way

Published on 07 Jul 2019 - 19:39

score 77 · Answer 9 · 2026-03-25 01:21:42

77

Views

A conjectured continued fraction involving non-polynomial patterns

Published on 25 Mar 2026 - 1:21

score 105 · Answer 10 · 2019-07-11 09:39:02

105

Views

Searching for a conjecture that is true until the 127 power of n.

Published on 11 Jul 2019 - 9:39

score 129 · Answer 11 · 2019-07-11 16:09:42

129

Views

Conjecture: Is the identity $2^5-5^2=2+5$ unique?

Published on 11 Jul 2019 - 16:09

score 787 · Answer 12 · 2026-03-25 14:27:16

787

Views

A conjectured value for $\operatorname{Re} \operatorname{Li}_4 (1 + i)$

Published on 25 Mar 2026 - 14:27

score 79 · Answer 13 · 2026-03-25 11:04:35

79

Views

If a conjecture suggests $P(x)$ is true for all $x$ in an infinite domain, does that imply it is provable?

Published on 25 Mar 2026 - 11:04

score 1.3k · Answer 14 · 2019-07-14 10:19:31

1.3k

Views

Is $100$ the only square number of the form $a^b+b^a$?

Published on 14 Jul 2019 - 10:19

score 627 · Answer 15 · 2019-07-14 17:42:34

627

Views

Conjecture: "For every prime $k$ there will be at least one prime of the form $n! \pm k$" true?

Published on 14 Jul 2019 - 17:42

List Question

Conjectures on the primality of $\sum\limits_{i=1}^n p_i^{p_i}$ and $\sum\limits_{i=1}^n (-1)^ip_i^{p_i}$

Uniform residue limits over $\{1,2,\dots,p-1\}$

Infinite $\frac{3}{2}$-generated groups?

Conjectured formula for the Fabius function

If $q$ is prime, can $\sigma(q^{k-1})$ and $\sigma(q^k)/2$ be both squares when $q \equiv 1 \pmod 4$ and $k \equiv 1 \pmod 4$?

Uniqueness of non-completable latin square of size $n$

An arithmetic pattern

Conjecture: No positive integer can be written as $a^b+b^a$ in more than one way

A conjectured continued fraction involving non-polynomial patterns

Searching for a conjecture that is true until the 127 power of n.

Conjecture: Is the identity $2^5-5^2=2+5$ unique?

A conjectured value for $\operatorname{Re} \operatorname{Li}_4 (1 + i)$

If a conjecture suggests $P(x)$ is true for all $x$ in an infinite domain, does that imply it is provable?

Is $100$ the only square number of the form $a^b+b^a$?

Conjecture: "For every prime $k$ there will be at least one prime of the form $n! \pm k$" true?

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