A274070 - OEIS

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A274070

Integer part of the sum of the inverses of the first n primes.

0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2

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OFFSET

1,59

COMMENTS

The sequence is unbounded.

LINKS

Table of n, a(n) for n=1..96.

Carl Erickson, Prime Numbers and the Riemann Hypothesis

FORMULA

a(n) = floor(Sum_{i=1..n} 1/A000040(i)).

a(n) = floor(A024451(n)/A002110(n)). - Antti Karttunen, Feb 08 2024

MATHEMATICA