A104885 Primes whose logarithms are known to possess binary BBP formulas.

2, 3, 5, 7, 11, 13, 17, 19, 29, 31, 37, 41, 43, 61, 73, 109, 113, 127, 151, 241, 257, 331, 337, 397, 683, 1321, 1429, 1613, 2113, 2731, 5419, 8191, 14449, 26317, 38737, 43691, 61681, 65537, 87211, 131071, 174763, 246241, 262657, 268501, 279073, 312709

Offset

1,1

Comments

It is unknown whether the list of such primes is finite or infinite. A BBP-type formula is one with a base b = 2^p for some integer. Most of the formulas have been discovered experimentally using PSLQ searches.

References

David H. Bailey, Peter B. Borwein and Simon Plouffe. "On the Rapid Computation of Various Polylogarithmic Constants", Mathematics of Computation, 66:903-913, 1997. Jonathan Borwein, David Bailey; "Mathematics by Experiment, Plausible Reasoning in the 21st Century", A. K. Peters, 2004; p. 130.

Links

Table of n, a(n) for n=1..46.

Formula

Algorithm originated by Bailey, Borwein and Plouffe.

Crossrefs

Sequence in context: A294200 A109997 A174144 * A127052 A092570 A133956

Adjacent sequences: A104882 A104883 A104884 * A104886 A104887 A104888

Keyword

nonn

Author

Gary W. Adamson, Mar 29 2005

Status

approved