List questions from pseudoprimes

Published on 09 Apr 2026 - 6:14

72

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Is $1105$ the only Poulet-number of the form $2^a+3^b$?

Published on 25 Mar 2026 - 20:36

28

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3-pseudoprimes of the form $2^n\pm 1$?

Published on 26 Mar 2026 - 4:34

39

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3-pseudoprimes of the form $n!\pm 1$?

Published on 26 Mar 2026 - 4:33

282

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Who can prove or disprove this conjecture?

Published on 26 Mar 2026 - 4:32

75

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Must one factor in $(2m^2+1)(8m^2+1)$ be prime to get a Poulet-number?

Published on 26 Mar 2026 - 8:03

67

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If $n$ is a Poulet number then $n+2$ is not a Poulet number?

Published on 10 May 2026 - 23:30

105

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Poulet numbers of the form $3p$, where $p$ is a palindrome

Published on 26 Mar 2026 - 4:38

49

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If $n$ is pseudo prime to $2 \in Z_n$, then $N = 2^n -1$ is a pseudo-prime to $2 \in Z_N$.

Published on 26 Mar 2026 - 4:34

322

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How many Fermat tests are needed to verify a Carmichael number

Published on 09 Apr 2026 - 2:42

2.7k

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A number is a pseudoprime

Published on 10 May 2026 - 17:54

392

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Are there infinite Fibonacci primes if and only if there are infinite Fibonacci numbers that are Fibonacci pseudoprimes?

Published on 26 Mar 2026 - 4:35

64

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Is there a probabilistic prime test with time complexity $log^p (p\lt 1)$?

Published on 26 Apr 2026 - 13:37

144

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What are the next few "tetranacci-like" pseudoprimes?

Published on 26 Mar 2026 - 4:31

295

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Carmichael numbers of form $m^3+1$ and Ramanujan's $1729$

Published on 26 Mar 2026 - 4:34

List Question

Are there more Teluop-numbers?

Is $1105$ the only Poulet-number of the form $2^a+3^b$?

3-pseudoprimes of the form $2^n\pm 1$?

3-pseudoprimes of the form $n!\pm 1$?

Who can prove or disprove this conjecture?

Must one factor in $(2m^2+1)(8m^2+1)$ be prime to get a Poulet-number?

If $n$ is a Poulet number then $n+2$ is not a Poulet number?

Poulet numbers of the form $3p$, where $p$ is a palindrome

If $n$ is pseudo prime to $2 \in Z_n$, then $N = 2^n -1$ is a pseudo-prime to $2 \in Z_N$.

How many Fermat tests are needed to verify a Carmichael number

A number is a pseudoprime

Are there infinite Fibonacci primes if and only if there are infinite Fibonacci numbers that are Fibonacci pseudoprimes?

Is there a probabilistic prime test with time complexity $log^p (p\lt 1)$?

What are the next few "tetranacci-like" pseudoprimes?

Carmichael numbers of form $m^3+1$ and Ramanujan's $1729$

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