A095085 Fib000 primes, i.e., primes p whose Zeckendorf-expansion A014417(p) ends with three zeros.

5, 13, 29, 47, 73, 89, 97, 107, 131, 149, 157, 173, 191, 199, 233, 241, 251, 293, 317, 419, 461, 479, 487, 521, 547, 563, 631, 673, 683, 691, 733, 751, 809, 827, 877, 911, 919, 937, 953, 971, 1013, 1021, 1039, 1063, 1097, 1123, 1249, 1259

Offset

1,1

Links

Table of n, a(n) for n=1..48.

Antti Karttunen and John 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:]=="000"
print([n for n in primerange(1, 1261) if ok(n)]) # Indranil Ghosh, Jun 08 2017

Crossrefs

Intersection of A000040 and A101345.

Cf. A014417, A095065.

Sequence in context: A206258 A270106 A304904 * A309371 A230281 A093836

Adjacent sequences: A095082 A095083 A095084 * A095086 A095087 A095088

Keyword

nonn,base

Author

Antti Karttunen, Jun 01 2004

Status

approved