A343812 a(n) = Sum_{i<=n} (A007504(n) mod prime(i)).

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

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

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

Cf. A007504, A343814.

Sequence in context: A178301 A120236 A049760 * A357847 A019146 A102537

Adjacent sequences: A343809 A343810 A343811 * A343813 A343814 A343815

Keyword

nonn

Author

J. M. Bergot and Robert Israel, Apr 30 2021

Status

approved