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A095081 Fibodd primes, i.e., primes p whose Zeckendorf-expansion A014417(p) ends with one. 4

%I #25 May 06 2021 11:04:12

%S 17,19,43,53,59,61,67,101,103,127,137,163,179,197,211,229,239,263,271,

%T 281,307,313,331,347,349,373,383,389,433,449,457,467,491,499,509,569,

%U 577,593,601,619,643,653,661,677,739,773,787,797,821,823

%N Fibodd primes, i.e., primes p whose Zeckendorf-expansion A014417(p) ends with one.

%H Alois P. Heinz, <a href="/A095081/b095081.txt">Table of n, a(n) for n = 1..10000</a>

%H A. Karttunen and J. Moyer, <a href="/A095062/a095062.c.txt">C-program for computing the initial terms of this sequence</a>

%t r = Map[Fibonacci, Range[2, 12]]; Select[Prime@ Range@ 144, Last@ Flatten@ Map[Position[r, #] &, Abs@ Differences@ NestWhileList[Function[k, k - SelectFirst[Reverse@ r, # < k &]], # + 1, # > 1 &]] == 1 &] (* _Michael De Vlieger_, Mar 27 2016, Version 10 *)

%o (PARI)

%o genit(maxx)={for(n=1,maxx,q=(n-1)+(n+sqrtint(5*n^2))\2; if(isprime(q), print1(q,",")));} \\ _Bill McEachen_, Mar 26 2016

%o (Python)

%o from sympy import fibonacci, primerange

%o def a(n):

%o k=0

%o x=0

%o while n>0:

%o k=0

%o while fibonacci(k)<=n: k+=1

%o x+=10**(k - 3)

%o n-=fibonacci(k - 1)

%o return x

%o def ok(n):

%o return str(a(n))[-1]=="1"

%o print([n for n in primerange(1, 1001) if ok(n)]) # _Indranil Ghosh_, Jun 07 2017

%Y Intersection of A000040 and A003622. Union of A095086 and A095089. Cf. A095061, A095080.

%K nonn

%O 1,1

%A _Antti Karttunen_, Jun 01 2004

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Last modified April 23 22:36 EDT 2024. Contains 371917 sequences. (Running on oeis4.)