A073923 a(1)=1, a(n) is the smallest power of 2 not included earlier such that sum(k=1,n,a(n)) is prime.

1, 2, 4, 16, 8, 4096, 32, 16384, 134217728, 256, 33554432, 1073741824, 2147483648, 68719476736, 8192, 262144, 2722258935367507707706996859454145691648, 1152921504606846976, 10889035741470030830827987437816582766592

Offset

1,2

Links

Table of n, a(n) for n=1..19.

Formula

Conjecture: a(n)=A059661(n)-A059661(n-1). - R. J. Mathar, May 07 2007

Crossrefs

Cf. A059661.

Sequence in context: A109584 A352217 A186110 * A153666 A098819 A186008

Adjacent sequences: A073920 A073921 A073922 * A073924 A073925 A073926

Keyword

nonn

Author

Amarnath Murthy, Aug 19 2002

Extensions

More terms from Benoit Cloitre, Aug 27 2002

Status

approved