



2, 5, 17, 58, 129, 5117, 43201, 329401, 1459228, 111461983, 269553485, 316504138, 734845192, 6185946407, 10731178047, 22691403557, 148086969623, 474635764987, 6777574922490, 30458710811303, 215730284567463, 761593685331414, 5875984396617486, 10893968395261326
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OFFSET

1,1


COMMENTS

This is the prime partial sum just before the prime is added to achieve an integer mean as defined in A134125.


LINKS



EXAMPLE

The sequence begins with a(1) = 2 (to which 3 is added which leads to a sum 5 associated with A134125(1)).
a(4) = 58 (to which the prime 19 is added, a sum of 77, associated with A134125(4)).


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
(PARI) lista(pmax) = {my(k = 0, s = 2); forprime(p = 3, pmax, k++; s += p; if(!(s % k), print1(sp, ", "))); } \\ Amiram Eldar, Apr 30 2024


CROSSREFS



KEYWORD

less,nonn


AUTHOR



EXTENSIONS



STATUS

approved



