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A343812
a(n) = Sum_{i<=n} (A007504(n) mod prime(i)).
2
0, 3, 1, 8, 10, 20, 22, 27, 41, 80, 74, 94, 109, 150, 170, 125, 184, 219, 275, 286, 340, 419, 353, 421, 680, 599, 572, 626, 736, 780, 784, 828, 921, 1209, 1122, 934, 1204, 1359, 1568, 1649, 1963, 1511, 1320, 1819, 2016, 2238, 2329, 2272, 2454, 2846, 2834, 2551, 2659, 3175, 3089, 2839, 3374, 3382
OFFSET
1,2
COMMENTS
Does any term occur more than once?
LINKS
EXAMPLE
A007504(6) = 2+3+5+7+11+13 = 41 so a(6) = (41 mod 2)+(41 mod 3)+(41 mod 5)+(41 mod 7)+(41 mod 11)+(41 mod 13) = 20.
MAPLE
P:= [seq(ithprime(i), i=1..100)]:
S:= ListTools:-PartialSums(P):
seq(add(S[n] mod P[k], k=1..n), n=1..100);
CROSSREFS
Sequence in context: A178301 A120236 A049760 * A357847 A019146 A102537
KEYWORD
nonn
AUTHOR
J. M. Bergot and Robert Israel, Apr 30 2021
STATUS
approved