cp's OEIS Frontend

A179321 Numbers m such that the sum of the first k odd primes = m-th odd prime.

%I A179321 #16 Aug 29 2023 08:57:25
%S A179321 1,30,74,94,792,852,1037,1178,1395,1557,2468,3602,3725,5064,5361,5514,
%T A179321 6461,8979,9765,11005,16503,19798,20090,21254,22475,24686,30480,30822,
%U A179321 37614,44243,44668,45528,49999,50924,53241,61613,64721,65236
%N A179321 Numbers m such that the sum of the first k odd primes = m-th odd prime.
%H A179321 Robert Israel, <a href="/A179321/b179321.txt">Table of n, a(n) for n = 1..1600</a>
%F A179321 A007504(k) - 2 = A000040(a(n)+1).
%F A179321 A000040(a(n)+1) = A071151(n).
%e A179321 30 is a term because A007504(6) - 2 = 127 = A000040(31).
%p A179321 A:= NULL: p:= 2: s:= 0: q:= 2: count:= 0: i:= 0:
%p A179321 while count < 100 do
%p A179321   if s = q then count:= count+1; A:= A,i;  fi;
%p A179321   if s <= q then p:= nextprime(p);  s:= s+p
%p A179321   else q:= nextprime(q); i:= i+1
%p A179321   fi;
%p A179321 od:
%p A179321 A; # _Robert Israel_, Aug 28 2023
%Y A179321 Cf. A000040, A007504, A071151.
%K A179321 nonn
%O A179321 1,2
%A A179321 _Juri-Stepan Gerasimov_, Jan 06 2011