Cunningham Chain

A Sequence of Primes is a Cunningham chain of the first kind (second kind) of length if () for , ..., . Cunningham Primes of the first kind are SophieGermain Primes.

The two largest known Cunningham chains (of the first kind) of length three are(, , ) and(, , ), both discovered by W. Roonguthai in 1998.

References

Guy, R. K. ``Cunningham Chains.'' §A7 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 18-19, 1994.

Ribenboim, P. The New Book of Prime Number Records. New York: Springer-Verlag, p. 333, 1996.

Roonguthai, W. ``Yves Gallot's Proth and Cunningham Chains.'' http://ksc9.th.com/warut/cunningham.html.

• Discordant Permutation
• Discrepancy Theorem
• Discrete Distribution
• Discrete Fourier Transform
• Discrete Mathematics
• Discrete Set
• Discrete Uniform Distribution
• Discriminant
• Discriminant (Binary Quadratic Form)
• Discriminant (Elliptic Curve)
• Discriminant (Metric)
• Discriminant (Module)
• Discriminant (Polynomial)
• Discriminant (Quadratic Curve)
• Discriminant (Quadratic Form)
• Discriminant (Second Derivative Test)
• Disdyakis Dodecahedron
• Disdyakis Triacontahedron
• Disjoint
• Disjunction
• Disjunctive Game
• Disk
• Disk Covering Problem
• Disk Lattice Points
• Dispersion Numbers