List questions from conjectures

Published on 19 Jun 2017 - 12:50

156

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Prove that at least one of those numbers is a prime

Published on 20 Jun 2017 - 9:51

96

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If $N=q^k n^2$ is an odd perfect number and $q = k$, why does this bound not imply $q > 5$?

Published on 27 Mar 2026 - 3:59

92

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How often does $D(n^2) = m^2$ happen, where $D(x)$ is the deficiency of $x$?

Published on 28 Mar 2026 - 3:27

161

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Do there exist deficient-perfect square numbers whose deficiency is also a square (and not one)?

Published on 28 Mar 2026 - 1:46

201

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Area of enclosed smooth curve is always irrational for rational dimensions

Published on 05 Jul 2017 - 3:32

96

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Do all terms $n$ of OEIS sequence A228059 have a $p$ with exponent $1$?

Published on 27 Mar 2026 - 3:59

134

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On an inequality for a sequence involving twin primes, on assumption of the Twin Prime conjecture

Published on 05 Jul 2017 - 15:16

111

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A conjecture on diophantine equation

Published on 25 Mar 2026 - 11:18

38

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Parity-dependent $p$th-powers conjecture

Published on 10 Jul 2017 - 16:14

89

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The minimal combination $\big|\pm p_1\pm\dots\pm p_n\big|$ for primes

Published on 11 Jul 2017 - 6:51

441

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conjectured continued fraction related to certain polynomials

Published on 29 Mar 2026 - 19:16

823

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Looking for counter-examples in Collatz-like sequences

Published on 29 Mar 2026 - 8:14

213

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k-tuple Admissibility?

Published on 26 Mar 2026 - 21:25

315

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Euler Totient of Numbers Between Twin Primes.

Published on 26 Mar 2026 - 6:34

List Question

A $3n-2$ Conjecture for the Redheffer Matrix.

Prove that at least one of those numbers is a prime

If $N=q^k n^2$ is an odd perfect number and $q = k$, why does this bound not imply $q > 5$?

How often does $D(n^2) = m^2$ happen, where $D(x)$ is the deficiency of $x$?

Do there exist deficient-perfect square numbers whose deficiency is also a square (and not one)?

Area of enclosed smooth curve is always irrational for rational dimensions

Do all terms $n$ of OEIS sequence A228059 have a $p$ with exponent $1$?

On an inequality for a sequence involving twin primes, on assumption of the Twin Prime conjecture

A conjecture on diophantine equation

Parity-dependent $p$th-powers conjecture

The minimal combination $\big|\pm p_1\pm\dots\pm p_n\big|$ for primes

conjectured continued fraction related to certain polynomials

Looking for counter-examples in Collatz-like sequences

k-tuple Admissibility?

Euler Totient of Numbers Between Twin Primes.

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