List questions from pseudoprimes

Published on 29 Aug 2018 - 23:17

110

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Are these the smallest Poulet-numbers above $10^{16}$ and $10^{17}\ \ $?

Published on 04 Sep 2018 - 21:18

163

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Prove that an odd square cannot be a pseudoprime with both base 2 and base 3

Published on 11 Sep 2018 - 6:56

50

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Weaker Goldbach's Conjecture: Is every number the sum of two pseudoprimes?

Published on 28 Sep 2018 - 3:48

23

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Can $(x-1)(y+1)+xy$ be a Fermat-pseudoprime , when $x$ is a power of $2$ and $y$ a power of $10$?

Published on 02 Oct 2018 - 6:28

30

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Gaps and density of numbers consisting of sums of products of primes where the number of factors for each prime is itself prime

Published on 21 Jan 2019 - 14:59

85

Views

Lower bounds for totient function of a Carmichael number

Published on 23 Feb 2026 - 1:25

105

Views

Fermat primality test for $a=n-1$

Published on 19 Feb 2019 - 16:04

50

Views

When is $\frac{a^p+1}{a+1}$ a pseudoprime to base $b$?

Published on 22 Mar 2019 - 9:42

124

Views

Simplify convoluted $\text{prime}^*$ numbers sum formulae

Published on 25 Mar 2026 - 9:34

247

Views

$\frac{4^p - 1}{3}$ is a Fermat pseudoprime with respect to 2

Published on 29 May 2019 - 10:10

39

Views

Finding the mistake in a proof of pseudo-primality

Published on 22 Jun 2019 - 13:49

53

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Proving strong pseudoprimality

Published on 22 Jun 2019 - 14:45

49

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Proving (pseudo)primality

Published on 22 Jun 2019 - 15:10

114

Views

Proving that a Prime Power $p^{k}$ is a Divisor of $a^{p-1} - 1$

Published on 22 Jun 2019 - 15:24

List Question

Is this a proper superset of Carmichael numbers?

Are these the smallest Poulet-numbers above $10^{16}$ and $10^{17}\ \ $?

Prove that an odd square cannot be a pseudoprime with both base 2 and base 3

Weaker Goldbach's Conjecture: Is every number the sum of two pseudoprimes?

Can $(x-1)(y+1)+xy$ be a Fermat-pseudoprime , when $x$ is a power of $2$ and $y$ a power of $10$?

Gaps and density of numbers consisting of sums of products of primes where the number of factors for each prime is itself prime

Lower bounds for totient function of a Carmichael number

Fermat primality test for $a=n-1$

When is $\frac{a^p+1}{a+1}$ a pseudoprime to base $b$?

Simplify convoluted $\text{prime}^*$ numbers sum formulae

$\frac{4^p - 1}{3}$ is a Fermat pseudoprime with respect to 2

Finding the mistake in a proof of pseudo-primality

Proving strong pseudoprimality

Proving (pseudo)primality

Proving that a Prime Power $p^{k}$ is a Divisor of $a^{p-1} - 1$

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