List questions from pseudoprimes

Published on 25 Mar 2026 - 12:52

111

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

Published on 25 Mar 2026 - 16:02

164

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

Published on 25 Mar 2026 - 12:48

51

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

Published on 25 Mar 2026 - 14:25

24

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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 25 Mar 2026 - 12:50

32

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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 12 Apr 2026 - 14:37

86

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Lower bounds for totient function of a Carmichael number

Published on 09 Apr 2026 - 4:31

107

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Fermat primality test for $a=n-1$

Published on 27 Mar 2026 - 11:27

51

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

Published on 25 Mar 2026 - 14:23

124

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

Published on 25 Mar 2026 - 9:34

248

Views

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

Published on 25 Mar 2026 - 14:26

40

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Finding the mistake in a proof of pseudo-primality

Published on 25 Mar 2026 - 12:54

55

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Proving strong pseudoprimality

Published on 27 Mar 2026 - 7:59

52

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Proving (pseudo)primality

Published on 10 Apr 2026 - 17:09

115

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

Published on 25 Mar 2026 - 16:03

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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