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A172188 Partial sums of primes of the form 3*k-1. 2

%I #9 Nov 21 2013 12:49:59

%S 2,7,18,35,58,87,128,175,228,287,358,441,530,631,738,851,982,1119,

%T 1268,1435,1608,1787,1978,2175,2402,2635,2874,3125,3382,3645,3914,

%U 4195,4488,4799,5116,5463,5816,6175,6558,6947,7348,7767,8198,8641,9090,9551,10018

%N Partial sums of primes of the form 3*k-1.

%e a(1)=3*1-1=2, a(2)=2+3*2-1=7.

%p Contribution from _R. J. Mathar_, Apr 24 2010: (Start)

%p A003627 := proc(n) if n <= 2 then op(n,[2,5]) ; else for a from procname(n-1)+2 by 2 do if isprime(a) and (a mod 3) =2 then return a ; end if; end do: end if; end proc:

%p A172188 := proc(n) add( A003627(i),i=1..n) ; end proc: seq(A172188(n),n=1..80) ; (End)

%t Accumulate[Select[Prime[Range[100]],IntegerQ[(#+1)/3]&]] (* _Harvey P. Dale_, Apr 04 2011 *)

%Y Cf. A038361.

%K nonn

%O 1,1

%A _Juri-Stepan Gerasimov_, Jan 29 2010, Feb 01 2010

%E Entries checked by _R. J. Mathar_, Apr 24 2010

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)