A273462 Rounded variance of the first n primes, for n > 1.

0, 2, 5, 13, 19, 31, 41, 56, 81, 103, 136, 171, 201, 235, 280, 335, 384, 444, 505, 560, 626, 693, 772, 869, 966, 1055, 1145, 1229, 1314, 1447, 1578, 1719, 1849, 2008, 2156, 2313, 2479, 2644, 2818, 3000, 3171, 3372, 3560, 3748, 3925, 4142, 4398, 4651, 4890

Offset: 2

Author

Andres Cicuttin, May 23 2016

Keywords

• nonn

Links

• Chai Wah Wu, Table of n, a(n) for n = 2..10000

Crossrefs

Cf. A075465, A075471, A272206.

Mean and variance of primes: A301273/A301274, A301275/A301276, A301277, A273462.

Programs

Mathematica

Table[Round[Variance[Prime[Range[j]]]], {j, 2, 50}]

Sage

round(variance(primes_first_n(n))) # Danny Rorabaugh, May 25 2016

Formula

a(n) = round(Sum_{i=1..n} (prime(i) - Sum_{j=1..n} prime(j)/n)^2/(n - 1)), n > 1.