# what is the difference between sum of first n primes and prime(prime(n?

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Best solution

Difference between sum of first n primes and prime(prime(n))

The seq is: -1, 0, -1, 0, -3, 0, -1, 10, 17, 20, 33, 40, 59, 90, 117, 140, 163, 218, 237, ... http://oeis.org/A239731 Is there's a formula looks like $$a(n) =n^2logn/2$$ for this seq?

The sum of the first $n$ primes is asymptotic to $\frac{n^2\log n}{2}$. Heuristically, this is because...

mike at Mathematics

Other solutions

500.

Why is the sum of differences of two sorted sets the same when summed in different (but specific) ways?

Please -- if you can think of a way to reword this please do. I am wondering also if there is a simple name for this phenomenon, or if there are cases where it's not true. Example: Given an array of random numbers with an even number of elements, sorted...

Because these are the same as long as you sort the array first. All the differences are guaranteed to...

Shrey Banga at Quora

Given a set of $n$ natural numbers, find the two subsets of 'k' numbers, which sum is $S_k$ , that minimize the difference between these sums. How do you solve it with dynamic programming?

Given the set $\{ a_1, ..., a_n \}$ where $a_i \in \mathbb{N}$, find two subset $A$ and $B$ such that: $A \cap B = \emptyset$ $card(A) = card(B) = k > 0$ where $2k \le n... Answer: Define [math]D[i,j,k] = true$ iff there exists some [math]A,B \subset \{a_1, ..., a_i\}[/math...

Mark Gritter at Quora

The sum of the 1st 50 terms ofan arithmetic seq.=100. the common difference is increased by 3 what is new sum?

The sum of the first 50 terms of an arithmetic sequence is 100. If the common difference (d) is increased by 3, what is the new sum?

Actually the new sum is not just 100 + 49(3). It is S= 100 + (1+2+3+...+49)*3 = 100 + (50)(49)/2 *3...

How does the difference method work?

Hi, I have used the method of differences (also called a telescoping series) to solve various maths problems before but I don't feel I understand the mechanics of it. I began looking for a more general definition of it and found this in the Mathematical...

You must have miswritten the second method. If u_n = f(n + 1) - f(n), then \displaystyle \sum_{n = ...

Sridhar Ramesh at Quora

The sum of the first 1,000,000 positive even numbers is: 2 + 4 + 6 + 8 + ... + 2,000,000 The sum of...

3, 6, 9, 12, and 15 are the first five positive multiples of three.

ChaCha

The sum of the first n terms of the series with starting value "a" and common difference ...

Can you help me list some formulas involving all primes, please?

I'm looking for formulas including (preferably convergent) sums or products over all primes, as in product [p in P] (1/(1-p^(-s))) = zeta(s) = sum [n=1 to infinity] 1/n^s [s>1] I'd like to collect here as many similar facts about the set of all primes...

π(all primes) (1 - 1/p^s) = Σ(n = 1 ... ∞) m(n)/n^s, where m is the Mobius Function ...