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

Name corrected by Sean A. Irvine, Dec 28 2024

Status

approved