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A343070 a(1) = 1, for n > 1, a(n) is the smallest positive integer for which a(n-1) + n + a(n) is a prime. 0
1, 2, 2, 1, 1, 4, 2, 1, 1, 2, 4, 1, 3, 2, 2, 1, 1, 4, 6, 3, 5, 2, 4, 1, 3, 2, 2, 1, 1, 6, 4, 1, 3, 4, 2, 3, 1, 2, 2, 1, 1, 4, 6, 3, 5, 2, 4, 1, 3, 6, 2, 5, 1, 4, 2, 1, 1, 2, 6, 1, 5, 4, 4, 3, 3, 2, 2, 1, 1, 2, 6, 1, 5, 4, 4, 3, 3, 2, 2, 1, 1, 6, 8 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..83.

Todor Szimeonov, A completive sequence

MATHEMATICA

a[1] = 1; a[n_] := a[n] = NextPrime[a[n - 1] + n] - a[n - 1] - n; Array[a, 100] (* Amiram Eldar, Apr 04 2021 *)

PROG

(Python)

from sympy import nextprime

def aupton(terms):

  alst = [1]

  for n in range(2, terms+1):

    alst.append(nextprime(alst[-1] + n) - alst[-1] - n)

  return alst

print(aupton(87)) # Michael S. Branicky, Apr 04 2021

CROSSREFS

Cf. A343039.

Sequence in context: A100996 A232504 A292201 * A090048 A064285 A006694

Adjacent sequences:  A343067 A343068 A343069 * A343071 A343072 A343073

KEYWORD

nonn

AUTHOR

Todor Szimeonov, Apr 04 2021

STATUS

approved

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Last modified July 30 12:39 EDT 2021. Contains 346359 sequences. (Running on oeis4.)