A095088 Fib100 primes, i.e., primes p whose Zeckendorf-expansion A014417(p) ends with one and two final zeros.

3, 11, 37, 71, 79, 113, 139, 181, 223, 257, 283, 359, 367, 401, 409, 443, 503, 571, 587, 613, 647, 757, 859, 977, 1019, 1087, 1163, 1181, 1223, 1231, 1291, 1307, 1367, 1409, 1451, 1511, 1553, 1579, 1613, 1621, 1663, 1697, 1723, 1867, 1901

Offset: 1

Author

Antti Karttunen, Jun 01 2004

Keywords

• nonn

Links

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

Crossrefs

Intersection of A000040 and A035337. Cf. A095068.

Programs

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)).endswith("100")
print([n for n in primerange(1, 2001) if ok(n)]) # Indranil Ghosh, Jun 08 2017