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A051349
Sum of first n nonprimes.
25
0, 1, 5, 11, 19, 28, 38, 50, 64, 79, 95, 113, 133, 154, 176, 200, 225, 251, 278, 306, 336, 368, 401, 435, 470, 506, 544, 583, 623, 665, 709, 754, 800, 848, 897, 947, 998, 1050, 1104, 1159, 1215, 1272, 1330, 1390, 1452, 1515, 1579, 1644, 1710, 1778, 1847, 1917
OFFSET
0,3
COMMENTS
Partial sums of A141468 or A018252. - R. J. Mathar, Mar 01 2009
The lexicographically earliest sequence with first differences as increasing sequence of composites A002808. Complement of A175970. See A175965, A175966, A175967, A014284, A175969, A175970. - Jaroslav Krizek, Oct 31 2010
LINKS
FORMULA
Sum_{n>=1} 1/a(n) = A122998. - Amiram Eldar, Nov 17 2020
MAPLE
ithnonprime := proc(n)local k: option remember: if(n=1)then return 1: fi: for k from procname(n-1)+1 do if(not isprime(k))then return k fi: od: end: A051349 := proc(n) option remember: local k: if(n<=1)then return n: fi: return ithnonprime(n)+procname(n-1): end: seq(A051349(n), n=0..51); # Nathaniel Johnston, May 25 2011
MATHEMATICA
lst={}; s=0; Do[If[ !PrimeQ[n], s=s+n; AppendTo[lst, s]], {n, 0, 10^2}]; lst (* Vladimir Joseph Stephan Orlovsky, Aug 14 2008 *)
KEYWORD
nonn,easy
AUTHOR
Armand Turpel (armandt(AT)unforgettable.com)
STATUS
approved