

A134127


Largest prime in the partials sums of primes in A134125 which have integer averages.


5



3, 5, 11, 19, 31, 233, 739, 2207, 4871, 47933, 76103, 82723, 128663, 391273, 521041, 769423, 2036833, 3724997, 14722933, 31957817, 87574217, 167518933, 478372393, 656640899, 749613233, 861934273, 9083114473, 29862785453
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


LINKS

Table of n, a(n) for n=1..28.


FORMULA

Add primes to cumulative totals 3 (to 2), 5, 7, 11, 13, 17, 19, etc. But 7, 13, 17 are omitted from the sequence because the sums at counts 3, 5, 6, e.g., do not produce integral quotients
a(n)=A000040(1+A134126(n)).  R. J. Mathar, Jun 10 2008


EXAMPLE

At a(4), 11 is added to the previous sum 17: 17+11=28 and the index count is 4, so 28/4=7, which is integral, so 11 is added to the sequence.


PROG

UBASIC: 10 'primes using counters 20 N=3:C=1:R=5:print 2; 3, 5 30 A=3:S=sqrt(N) 40 B=N\A 50 if B*A=N then N=N+2:goto 30 60 A=A+2:O=A 70 if A<=sqrt(N) then 40 80 C=C+1 90 R=R+N:T=R/C:U=RN 100 if T=int(T) then print C; U; N; R; T:stop 110 N=N+2:goto 30


CROSSREFS

Cf. A134125, A134128, A134129.
Sequence in context: A124098 A127453 A092602 * A239519 A298348 A303005
Adjacent sequences: A134124 A134125 A134126 * A134128 A134129 A134130


KEYWORD

nonn


AUTHOR

Enoch Haga, Oct 09 2007


EXTENSIONS

Edited by R. J. Mathar, Jun 10 2008
More terms from Nathaniel Johnston, Apr 30 2011


STATUS

approved



