A134591 a(n) is n reflected in n-th prime: distance between a(n) and prime(n) equals distance between prime(n) and n.

3, 4, 7, 10, 17, 20, 27, 30, 37, 48, 51, 62, 69, 72, 79, 90, 101, 104, 115, 122, 125, 136, 143, 154, 169, 176, 179, 186, 189, 196, 223, 230, 241, 244, 263, 266, 277, 288, 295, 306, 317, 320, 339, 342, 349, 352, 375, 398, 405, 408, 415, 426, 429, 448, 459, 470

Offset

1,1

Links

Table of n, a(n) for n=1..56.

Formula

a(n) = A014689(n) + A000040(n) = 2*A000040(n) - A000027(n).

a(n) - prime(n) = prime(n) - n => a(n) = 2*prime(n) - n.

Mathematica

Table[2Prime[n]-n, {n, 100}]

Prog

(PARI) a(n) = 2*prime(n) - n; \\ Michel Marcus, Mar 11 2022

Crossrefs

Cf. A000027, A000040, A014689.

Sequence in context: A047967 A282893 A256912 * A058611 A357459 A098613

Adjacent sequences: A134588 A134589 A134590 * A134592 A134593 A134594

Keyword

nonn

Author

Zak Seidov, Nov 04 2007

Status

approved