A210340 Generalized Woodall primes: any primes that can be written in the form n*b^n - 1 with n+2 > b > 2.

17, 191, 4373, 5119, 524287, 590489, 3124999, 14680063, 3758096383, 6973568801, 34867844009, 85449218749, 824633720831, 1099999999999, 1618481116086271, 11577835060199423, 14999999999999999, 29311444762388081, 73123168801259519

Offset

1,1

Links

Arkadiusz Wesolowski, Table of n, a(n) for n = 1..170

Chris Caldwell, The Top 20 Generalized Woodall Primes

Chris Caldwell, The Prime Glossary, Woodall prime

G. L. Honaker, Jr. and Chris Caldwell, 17962...40287 (1006-digits)

G. L. Honaker, Jr. and Chris Caldwell, 19981...99999 (10028-digits)

PrimeGrid, Home Page

Wikipedia, Woodall number

Example

167*2^668 - 1 is a prime number and 167*2^668 - 1 = 167*16^167 - 1, so this number is in the sequence.

Mathematica

lst = {}; Do[p = n*b^n - 1; If[p < 10^200 && PrimeQ[p], AppendTo[lst, p]], {b, 3, 100}, {n, b - 1, 413}]; Sort@lst

Crossrefs

Cf. A050918, A002234, A006553, A086661, A059676, A059675.

Sequence in context: A141993 A025467 A322122 * A021494 A300172 A160658

Adjacent sequences: A210337 A210338 A210339 * A210341 A210342 A210343

Keyword

nonn

Author

Arkadiusz Wesolowski, Mar 20 2012

Status

approved