login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A109996 Primes where the arithmetic mean of the fractional parts of p/1,p/2,..., p/p is larger than 1-gamma=0.422784... 2
23, 47, 53, 59, 71, 83, 89, 107, 131, 139, 149, 167, 179, 191, 223, 227, 239, 251, 263, 269, 293, 311, 317, 347, 349, 359, 383, 389, 419, 431, 439, 449, 461, 467, 479, 491, 503, 509, 557, 569, 571, 587, 593, 599, 607, 619, 643, 647, 659, 683, 701, 719, 727 (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

Alois P. Heinz, Table of n, a(n) for n = 1..1000

Stefan Kraemer, Euler's Constant 0.577... Its Mathematics and History

MAPLE

H:= proc(n) H(n):= 1/n+`if`(n=1, 0, H(n-1)) end:

a:= proc(n) option remember; local c, p; Digits := 1000;

      c:= evalf(1-gamma);

      p:=`if`(n=1, 1, a(n-1));

      do p:= nextprime(p);

         if H(p)-add(iquo(p, i), i=1..p)/p>c

         then return p fi

      od

    end:

seq(a(n), n=1..70);  # Alois P. Heinz, Jun 14 2013

PROG

(PARI) lista(nn) = {forprime(p=2, nn, if (sum (i=1, p, p/i - floor(p/i))/p > 1- Euler, print1(p, ", ")); ); } \\ Michel Marcus, Jun 14 2013

CROSSREFS

Cf. A104885, A109997.

Sequence in context: A130604 A103629 A253177 * A188833 A121762 A185935

Adjacent sequences:  A109993 A109994 A109995 * A109997 A109998 A109999

KEYWORD

nonn

AUTHOR

Stefan Krämer, Sep 01 2005

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 28 10:48 EDT 2021. Contains 347714 sequences. (Running on oeis4.)