List questions from pseudoprimes

Published on 22 Jun 2019 - 21:22

121

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Does There Exist a Lucas Sequences with No Pseudoprimes?

Published on 27 Jun 2019 - 16:29

117

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What is the ratio of Carmichael pseduo-primes to true primes for $1$ to $n$? Or is it known?

Published on 15 Jul 2019 - 11:57

285

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Are there any $3$-Fermat-pseudoprimes of the form $k^4+1$?

Published on 28 Aug 2019 - 7:19

491

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Fermat pseudoprimes p to base 2 (AKA Sarrus or Poulet numbers) with special properties

Published on 22 Jul 2014 - 8:20

109

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regarding pseudo-prime numbers.

Published on 22 Jul 2014 - 19:17

139

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Fermat pseudo primes

Published on 25 Mar 2026 - 5:16

1.8k

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Can a Mersenne number ever be a Carmichael number?

Published on 28 Jul 2014 - 20:20

421

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Are there any primes that are never a factor of a Carmichael number?

Published on 30 Jul 2014 - 0:35

432

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Strong pseudoprime base b

Published on 18 Nov 2014 - 17:47

1.2k

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Demonstrate: $M_p=2^p-1$

Published on 27 Nov 2014 - 16:40

227

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Why am I getting the wrong result when applying the extra strong Lucas pseudoprime test?

Published on 03 Oct 2019 - 5:57

99

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Miller's Test Base a

Published on 25 Mar 2026 - 8:06

160

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Is there an infinite Carmichael numbers of this form $K.p^n+1$

Published on 14 Nov 2019 - 22:03

74

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Show that, for each $n \geq 2$, the whole number $4n^{2}-1$ is a Fermat pseudoprime to base $2n$

Published on 26 Dec 2019 - 20:04

List Question

Prove that $p$ is Composite by Showing that It is Not a Pseudoprime Basis $2$

Does There Exist a Lucas Sequences with No Pseudoprimes?

What is the ratio of Carmichael pseduo-primes to true primes for $1$ to $n$? Or is it known?

Are there any $3$-Fermat-pseudoprimes of the form $k^4+1$?

Fermat pseudoprimes p to base 2 (AKA Sarrus or Poulet numbers) with special properties

regarding pseudo-prime numbers.

Fermat pseudo primes

Can a Mersenne number ever be a Carmichael number?

Are there any primes that are never a factor of a Carmichael number?

Strong pseudoprime base b

Demonstrate: $M_p=2^p-1$

Why am I getting the wrong result when applying the extra strong Lucas pseudoprime test?

Miller's Test Base a

Is there an infinite Carmichael numbers of this form $K.p^n+1$

Show that, for each $n \geq 2$, the whole number $4n^{2}-1$ is a Fermat pseudoprime to base $2n$

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