A109997 Primes where the arithmetic mean of the fractional parts of p/1,p/2,..., p/p is less than 1-gamma=0.422784...

2, 3, 5, 7, 11, 13, 17, 19, 29, 31, 37, 41, 43, 61, 67, 73, 79, 97, 101, 103, 109, 113, 127, 137, 151, 157, 163, 173, 181, 193, 197, 199, 211, 229, 233, 241, 257, 271, 277, 281, 283, 307, 313, 331, 337, 353, 367, 373, 379, 397, 401, 409, 421, 433, 443, 457, 463

Offset

1,1

References

S. R. Finch. Mathematical Constants. Cambridge University Press, 2003 ISBN 0-521-81802-2 p. 29

Stefan Kraemer. Eulers constant and related numbers, preprint, 2005.

Links

Robert G. Wilson v, Table of n, a(n) for n = 1..1000

Mathematica

With[{c=1-EulerGamma}, Select[Prime[Range[100]], Mean[FractionalPart/@(#/ Range[#])]<c&]] (* Harvey P. Dale, Sep 19 2020 *)

Crossrefs

Cf. A104885, A109996.

Sequence in context: A094746 A049543 A294200 * A174144 A104885 A127052

Adjacent sequences: A109994 A109995 A109996 * A109998 A109999 A110000

Keyword

nonn

Author

Stefan Krämer, Sep 01 2005

Status

approved