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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
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 (list; graph; refs; listen; history; text; internal format)
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
MATHEMATICA
With[{c=1-EulerGamma}, Select[Prime[Range[100]], Mean[FractionalPart/@(#/ Range[#])]<c&]] (* Harvey P. Dale, Sep 19 2020 *)
CROSSREFS
Sequence in context: A094746 A049543 A294200 * A174144 A104885 A127052
KEYWORD
nonn
AUTHOR
Stefan Krämer, Sep 01 2005
STATUS
approved

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Last modified May 18 00:34 EDT 2024. Contains 372608 sequences. (Running on oeis4.)