login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A186722 a(n) = numerator of Sum_{k=1..p-1} 1/k^2 for p the n-th prime. 1
1, 5, 205, 5369, 1968329, 240505109, 822968714749, 238820721143261, 354019312583809, 10383930672892966877209, 8745363341445960333910369, 33729537728506506466441425661, 46252969210499754415427421586309, 11115284554577186575391010113969347, 20577813589884143264711540636313749803 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..15.

R. Mestrovic, Wolstenholme's theorem: Its Generalizations and Extensions in the last hundred and fifty years (1862-2011), arXiv:1111.3057 [math.NT], 2011.

MAPLE

f3:=proc(n) local p;

p:=ithprime(n);

numer(add(1/i^2, i=1..p-1));

end proc;

[seq(f3(n), n=1..20)];

PROG

(PARI) a(n) = my(p=prime(n)); numerator(sum(k=1, p-1, 1/k^2)); \\ Michel Marcus, Apr 05 2015

CROSSREFS

Cf. A125551, A186720, A061002.

Sequence in context: A128678 A232987 A012811 * A060486 A002438 A005333

Adjacent sequences:  A186719 A186720 A186721 * A186723 A186724 A186725

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jan 21 2012

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified November 21 07:11 EST 2017. Contains 294996 sequences.