A054541 Sum of first n terms equals n-th prime.

2, 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, 4, 6

Offset

1,1

Comments

Except for first term, same as A001223.

First differences of A182986. - Omar E. Pol, Oct 31 2013

A075526 is 1 together with A001223. This is 2 together with A001223. A125266 is 3 together with A001223. - Omar E. Pol, Nov 01 2013

Convolved with A024916 gives A086718. - Omar E. Pol, Dec 23 2021

Links

Table of n, a(n) for n=1..97.

Mathematica

Join[{2}, Differences[Prime[Range[100]]]] (* Paolo Xausa, Oct 25 2023 *)

Prog

(PARI) a(n) = if (n==1, 2, prime(n) - prime(n-1)); \\ Michel Marcus, Oct 31 2013

Crossrefs

Partial sums give A000040.

Cf. A001223, A075526, A086718, A024916, A125266, A182986.

Sequence in context: A205779 A205551 A281130 * A277891 A102722 A339219

Adjacent sequences: A054538 A054539 A054540 * A054542 A054543 A054544

Keyword

nonn

Author

G. L. Honaker, Jr., Apr 09 2000

Extensions

More terms from James A. Sellers, Apr 11 2000

Status

approved