A259430 a(n) is the arithmetic mean of the first n terms in A073883.

2, 2, 3, 5, 5, 7, 7, 11, 11, 13, 17, 17, 19, 23, 23, 29, 29, 31, 31, 37, 37, 41, 41, 43, 47, 47, 53, 53, 59, 59, 61, 67, 71, 71, 73, 73, 79, 83, 83, 89, 89, 97, 97, 101, 101, 103, 103, 107, 107, 109, 109, 113, 113, 127, 127, 131, 131, 137, 137, 149, 149, 151, 151, 149, 151, 157, 163, 163, 167, 167, 173, 173, 179, 179

Offset

2,1

Comments

By definition of A073883, each term is prime.

Are all the primes reached?

Links

Table of n, a(n) for n=2..75.

Example

A073883 starts: 1, 3, 2, 6, 13, 5, 19, 7, 43, 11, 33, 61, ...
So a(2) = (1+3)/2 = 2, a(3) = (1+3+2)/3 = 2, a(4) = (1+3+2+6)/4 = 3, a(5) = (1+3+2+6+13)/5 = 5, etc..

Prog

(PARI) v=[1]; n=1; while(#v<200, s=(n+vecsum(v))/(#v+1); if(type(s)=="t_INT", if(isprime(s)&&!vecsearch(vecsort(v), n), print1(s, ", "); v=concat(v, n); n=0)); n++)

Crossrefs

Cf. A073883.

Sequence in context: A113636 A262463 A151800 * A290838 A056896 A089366

Adjacent sequences: A259427 A259428 A259429 * A259431 A259432 A259433

Keyword

nonn

Author

Derek Orr, Jun 26 2015

Status

approved