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Suggestion of extension of Brent's project of b^n+-1 (i.e. bases 13<=b<=99, b not perfect power, b^n<10^255) #3

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Suggestion of extension of Brent's project of b^n+-1 (i.e. bases 13<=b<=99, b not perfect power, b^n<10^255)#3
@xayahrainie4793

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@xayahrainie4793
xayahrainie4793
opened on Aug 11, 2025

Suggestion of extension of Brent's project of b^n+-1 (i.e. bases 13<=b<=99, b not perfect power, b^n<10^255):

(like Homogeneous Cunningham Numbers)

bases 13<=b<=200, b not perfect power, b^n<2^1024

Aurifeuillian (LM) numbers (b^n-1 for b == 1 mod 4, b^n+1 for b == 2, 3 mod 4, both for n == core(b) mod 2*core(b)) for bases 13<=b<=200, b not perfect power, b^n<2^2048

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JonathanCrombie

JonathanCrombie commented on Aug 15, 2025

@JonathanCrombie
JonathanCrombie
on Aug 15, 2025
Owner

The Smaller Brent Composites Project has been completed and it's not planned to be resurrected. However, the following Composite Lists might be of interest.

  • Lists --> (a^n size) Composite Lists --> Select "Level: a^n <= 255 digits" and "Base Range: 101-199"
  • Lists --> (a^n size) Composite Lists --> Select "Level: 256 digits <= a^n <= 300 digits" and "Base Range: 13-99"
  • Lists --> (a^n size) Composite Lists --> Select "Level: 256 digits <= a^n <= 300 digits" and "Base Range: 101-199"
JonathanCrombie
closed this as completedon Aug 15, 2025
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          Suggestion of extension of Brent's project of b^n+-1 (i.e. bases 13<=b<=99, b not perfect power, b^n<10^255) · Issue #3 · JonathanCrombie/Cowcave