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

Author

Cino Hilliard, Jan 15 2007

Keywords

• easy
• nonn

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

Examples

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

Links

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

Crossrefs

Cf. A001223, A007918, A054541, A075526.

Programs

Mathematica

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

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); ) }