A125266 Number of repetitions in A007918.

3, 1, 2, 2, 4, 2, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 6, 2, 10, 2, 6, 6, 4, 6, 6, 2, 10, 2, 4, 2, 12, 12, 4, 2, 4, 6, 2, 10, 6, 6, 6, 2, 6, 4, 2, 10, 14, 4, 2, 4, 14, 6, 10, 2, 4, 6, 8, 6, 6, 4, 6, 8, 4, 8, 10, 2, 10, 2, 6, 4, 6, 8, 4, 2, 4, 12, 8, 4, 8

Offset

1,1

Comments

Except for the first 2 terms, these numbers are always even. Conjecture: the number 2 occurs infinitely often in this sequence.

Essentially the same as A075526 and A054541. - R. J. Mathar, Jun 15 2008

3 together with A001223. - Omar E. Pol, Nov 01 2013

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000

Example

A007918(0) = 2, A007918(1)=2, A007918(2) = 2. So 2 repeats 3 times, giving 3 as the first term in the table.

Mathematica

Join[{3}, Differences[Prime[Range[100]]]] (* Paolo Xausa, Oct 25 2023 *)

Prog

(PARI) nextprimerep(n) = { local(x, y, y1, c=0); y1=2; for(x=0, n, y=nextprime(x); if(y==y1, c++, y1=y; print1(c", "); c=1); ) }

Crossrefs

Cf. A001223, A007918, A054541, A075526.

Sequence in context: A010280 A318556 A292148 * A002016 A282016 A238848

Adjacent sequences: A125263 A125264 A125265 * A125267 A125268 A125269

Keyword

easy,nonn

Author

Cino Hilliard, Jan 15 2007

Status

approved