A108559 Numbers k such that k + prime(k) is divisible by 11.

4, 30, 36, 41, 45, 56, 60, 73, 84, 89, 95, 127, 128, 134, 156, 183, 193, 194, 201, 239, 244, 251, 284, 302, 323, 331, 348, 360, 368, 372, 387, 391, 409, 413, 431, 432, 442, 454, 463, 496, 514, 516, 546, 565, 568, 620, 629, 636, 646, 667, 684, 696, 703, 705

Offset

1,1

Links

Michael S. Branicky, Table of n, a(n) for n = 1..10000

Example

30 + prime(30) = 30 + 113 = 143 = 13*11.

Mathematica

A108559=Select[Range[800], Mod[Prime[ # ]+#, 11]==0&]

Prog

(Python)
from sympy import prime
def ok(n): return (n + prime(n))%11 == 0
print(list(filter(ok, range(1, 706)))) # Michael S. Branicky, Apr 30 2021
(Python) # much faster version
from sympy import nextprime
def aupton(terms):
  p, p_idx, alst = 1, 0, []
  while len(alst) < terms:
    p, p_idx = nextprime(p), p_idx+1
    if (p_idx + p)%11 == 0: alst.append(p_idx)
  return alst
print(aupton(54)) # Michael S. Branicky, Apr 30 2021

Crossrefs

Cf. A108560.

Sequence in context: A298648 A164820 A022387 * A167395 A327434 A268037

Adjacent sequences: A108556 A108557 A108558 * A108560 A108561 A108562

Keyword

easy,nonn

Author

Zak Seidov, Jun 10 2005

Status

approved