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 A076873 Smallest prime not less than sum of first n primes. 2

%I

%S 2,5,11,17,29,41,59,79,101,131,163,197,239,281,331,383,443,503,569,

%T 641,719,797,877,967,1061,1163,1277,1373,1481,1597,1721,1861,1993,

%U 2129,2281,2437,2591,2749,2917,3089,3271,3449,3643,3833,4049,4229,4441,4663

%N Smallest prime not less than sum of first n primes.

%C a(n) = A007918(A007504(n)).

%H Robert Israel, <a href="/A076873/b076873.txt">Table of n, a(n) for n = 1..10000</a>

%e n=5: 2+3+5+7+11 <= 29 = a(5).

%p P:= [seq(ithprime(i),i=1..100)]:

%p S:= ListTools:-PartialSums(P):

%p map(s -> nextprime(s-1),S); # _Robert Israel_, Jul 04 2019

%t If[PrimeQ[#],#,NextPrime[#]]&/@Accumulate[Prime[Range[50]]] (* _Harvey P. Dale_, Feb 04 2011 *)

%Y Cf. A007504, A007918.

%K nonn

%O 1,1

%A _Reinhard Zumkeller_, Nov 27 2002

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Last modified June 5 06:41 EDT 2020. Contains 334828 sequences. (Running on oeis4.)