A214785 Numbers k such that k + 6 = A214783(k).

7, 13, 17, 53, 67, 97, 137, 157, 167, 193, 227, 257, 293, 313, 317, 383, 397, 457, 463, 503, 547, 577, 587, 593, 643, 653, 673, 683, 727, 757, 773, 823, 827, 883, 887, 937, 997, 1013, 1063, 1093, 1163, 1213, 1237

Offset: 1

Author

Art DuPre, Aug 03 2012

Keywords

• nonn

Comments

This set is disjoint from A213784. Conjecture: all terms are prime.

Links

• Robert Israel, Table of n, a(n) for n = 1..5000

Crossrefs

Cf. A214783, A214784.

Programs

Maple

f:= proc(n) local a,b,t,T,k;
  b:= 0; a:= 1; T:= -3 mod n;
  for k from 1 do
    t:= a+b mod n;
    if t = T then return k+1 fi;
    a:= b; b:= t;
  od
end proc:
f(1):= 1: f(3):= 1:
select(n -> f(n) = n+6, [$1..2000]); # Robert Israel, Jun 08 2023