Question

Prove there is only one solution to the Diophantine equation $p^n - p = q^m - q$ where $p$ and $q$ are odd primes $p\gt q$

score 412 · Answer 1 · 2026-03-25 12:49:45

412

Views

Prove there is only one solution to the Diophantine equation $p^n - p = q^m - q$ where $p$ and $q$ are odd primes $p\gt q$

Published on 25 Mar 2026 - 12:49

score 51 · Answer 2 · 2019-04-26 13:55:28

51

Views

Proof that the error between $W(\lambda(\sqrt{n}))$ and the fraction of composite integers in $\mathbb{O}_n$ declines as $n$ increases.

Published on 26 Apr 2019 - 13:55

score 91 · Answer 3 · 2026-03-25 04:43:35

91

Views

Can the product of $n$ positive integers, where $n \gt 5$ in A.P. be a palindrome?

Published on 25 Mar 2026 - 4:43

score 403 · Answer 4 · 2019-04-30 13:20:03

403

Views

Is the set of elementary functions which do not have elementary integrals bigger than set of elementary functions which have elementary integrals?

Published on 30 Apr 2019 - 13:20

score 102 · Answer 5 · 2026-03-25 04:10:19

102

Views

A conjectured identity for the fractional iterates of $\sqrt{x}+2$

Published on 25 Mar 2026 - 4:10

score 230 · Answer 6 · 2019-05-02 17:48:06

230

Views

Asymptotic frequency of $[0,\,1,\,1]$ in the Thue–Morse sequence

Published on 02 May 2019 - 17:48

score 734 · Answer 7 · 2019-05-04 02:15:11

734

Views

Integrals of the Bessel function $J_0(x)$ over the intervals between its zeros

Published on 04 May 2019 - 2:15

score 209 · Answer 8 · 2019-05-04 11:06:17

209

Views

A question on discrete Fourier transform of some function

Published on 04 May 2019 - 11:06

score 117 · Answer 9 · 2026-03-25 07:47:56

117

Views

Is it still unknown whetever any $\mathscr{D}$-class $D$ being a semigroup is bisimple?

Published on 25 Mar 2026 - 7:47

score 25 · Answer 10 · 2019-05-06 15:14:59

25

Views

Is showing all trees have $\rho$-valuation not enough to prove Ringel's conjecture about trees decomposing odd complete graph?

Published on 06 May 2019 - 15:14

score 145 · Answer 11 · 2026-03-25 07:34:03

145

Views

Circular Happy Palindromic Primes

Published on 25 Mar 2026 - 7:34

score 368 · Answer 12 · 2019-05-07 09:44:32

368

Views

Create & Prove Conjecture - Discrete Math (Proofs)

Published on 07 May 2019 - 9:44

score 2.5k · Answer 13 · 2019-05-08 20:53:33

2.5k

Views

Is $29$ the only prime of the form $p^p+2$?

Published on 08 May 2019 - 20:53

score 215 · Answer 14 · 2019-05-08 22:24:30

215

Views

Are $3$, $9$ the only natural numbers $n$ for which both $2^n-n$ and $2^n+n$ are prime?

Published on 08 May 2019 - 22:24

score 144 · Answer 15 · 2019-05-09 00:06:03

144

Views

Will $p$ always be prime if $p^p+(p-1)!$ is prime?

Published on 09 May 2019 - 0:06

List Question

Prove there is only one solution to the Diophantine equation $p^n - p = q^m - q$ where $p$ and $q$ are odd primes $p\gt q$

Proof that the error between $W(\lambda(\sqrt{n}))$ and the fraction of composite integers in $\mathbb{O}_n$ declines as $n$ increases.

Can the product of $n$ positive integers, where $n \gt 5$ in A.P. be a palindrome?

Is the set of elementary functions which do not have elementary integrals bigger than set of elementary functions which have elementary integrals?

A conjectured identity for the fractional iterates of $\sqrt{x}+2$

Asymptotic frequency of $[0,\,1,\,1]$ in the Thue–Morse sequence

Integrals of the Bessel function $J_0(x)$ over the intervals between its zeros

A question on discrete Fourier transform of some function

Is it still unknown whetever any $\mathscr{D}$-class $D$ being a semigroup is bisimple?

Is showing all trees have $\rho$-valuation not enough to prove Ringel's conjecture about trees decomposing odd complete graph?

Circular Happy Palindromic Primes

Create & Prove Conjecture - Discrete Math (Proofs)

Is $29$ the only prime of the form $p^p+2$?

Are $3$, $9$ the only natural numbers $n$ for which both $2^n-n$ and $2^n+n$ are prime?

Will $p$ always be prime if $p^p+(p-1)!$ is prime?

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