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A095086 Fib001 primes, i.e., primes p whose Zeckendorf-expansion A014417(p) ends with two zeros and final 1. 3
19, 43, 53, 61, 103, 137, 163, 179, 197, 229, 239, 263, 281, 307, 331, 349, 383, 433, 467, 509, 569, 577, 619, 653, 739, 773, 797, 823, 839, 857, 883, 907, 941, 967, 1009, 1051, 1061, 1069, 1103, 1129, 1153, 1171, 1187, 1213, 1229, 1289 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..46.

A. Karttunen and J. Moyer, C-program for computing the initial terms of this sequence

PROG

(Python)

from sympy import fibonacci, primerange

def a(n):

    k=0

    x=0

    while n>0:

        k=0

        while fibonacci(k)<=n: k+=1

        x+=10**(k - 3)

        n-=fibonacci(k - 1)

    return x

def ok(n): return str(a(n))[-3:]=="001"

print([n for n in primerange(1, 1301) if ok(n)]) # Indranil Ghosh, Jun 08 2017

CROSSREFS

Intersection of A000040 and A095098. Cf. A014417, A095066.

Sequence in context: A139811 A095101 A162856 * A095079 A238676 A087779

Adjacent sequences:  A095083 A095084 A095085 * A095087 A095088 A095089

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jun 01 2004

STATUS

approved

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Last modified July 27 23:16 EDT 2021. Contains 346316 sequences. (Running on oeis4.)