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

2, 5, 11, 17, 29, 41, 59, 79, 101, 131, 163, 197, 239, 281, 331, 383, 443, 503, 569, 641, 719, 797, 877, 967, 1061, 1163, 1277, 1373, 1481, 1597, 1721, 1861, 1993, 2129, 2281, 2437, 2591, 2749, 2917, 3089, 3271, 3449, 3643, 3833, 4049, 4229, 4441, 4663

Offset: 1

Author

Reinhard Zumkeller, Nov 27 2002

Keywords

• nonn

Comments

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

Examples

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

Links

• Robert Israel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A007504, A007918.

Programs

Maple

P:= [seq(ithprime(i),i=1..100)]:
S:= ListTools:-PartialSums(P):
map(s -> nextprime(s-1),S); # Robert Israel, Jul 04 2019

Mathematica

If[PrimeQ[#],#,NextPrime[#]]&/@Accumulate[Prime[Range[50]]]  (* Harvey P. Dale, Feb 04 2011 *)