(Generalized) Woodall primes

Definitions

A Woodall prime is a Woodall number (n•2ⁿ-1), which is prime.

A Generalized Woodall prime could be defined as a Woodall prime with a general base b > 2, so of the form n•bⁿ-1. The restriction of n+2 > b should then be claimed, otherwise every prime could be called a "Generalized Woodall prime".

A Near Generalized Woodall prime is defined as (n-1)•bⁿ-1 or (n+1)•bⁿ-1.

Note

For a complete list in this Wiki the primes of the forms n•bⁿ-1 are given with b ≥ 2, n ≥ 1 and listed as "Gen Woodall primes".

See also

• original Woodall primes list
• Table with all available bases

External links

• Woodall number
• Woodall number
• Top 20 Generalized Woodall primes
• Generalized Woodall primes by S.Harvey
• Near Generalized Woodall primes by S.Harvey
• Thread at MersenneForum