A065135 Numbers m such that prime(m) = pi(m)*k + 1 for some k.

3, 4, 6, 7, 10, 11, 14, 21, 37, 45, 47, 53, 55, 63, 75, 81, 101, 115, 121, 125, 136, 183, 209, 230, 271, 313, 319, 327, 348, 377, 399, 425, 460, 575, 581, 738, 786, 792, 850, 881, 917, 1076, 1110, 1152, 1246, 1519, 1740, 2062, 2074, 2119, 2144, 2327, 2361

Offset

1,1

Links

Table of n, a(n) for n=1..53.

Formula

Solutions to Mod[A000040(x), A000720(x)]=1.

Values satisfying A065133(x)=1.

Example

x=581 is a term because prime(581) = 4211 = 106*40 + 1 = 40*pi(581) + 1.

Prog

(PARI) isok(m) = if (m>1, prime(m) % primepi(m) == 1); \\ Michel Marcus, Mar 04 2022

Crossrefs

Cf. A000040, A000720, A065133.

Sequence in context: A047297 A183233 A191926 * A229792 A101299 A143837

Adjacent sequences: A065132 A065133 A065134 * A065136 A065137 A065138

Keyword

nonn

Author

Labos Elemer, Oct 15 2001

Status

approved