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

%I A095088 #14 May 09 2021 04:59:34
%S A095088 3,11,37,71,79,113,139,181,223,257,283,359,367,401,409,443,503,571,
%T A095088 587,613,647,757,859,977,1019,1087,1163,1181,1223,1231,1291,1307,1367,
%U A095088 1409,1451,1511,1553,1579,1613,1621,1663,1697,1723,1867,1901
%N A095088 Fib100 primes, i.e., primes p whose Zeckendorf-expansion A014417(p) ends with one and two final zeros.
%H A095088 A. Karttunen and J. Moyer, <a href="/A095062/a095062.c.txt">C-program for computing the initial terms of this sequence</a>
%o A095088 (Python)
%o A095088 from sympy import fibonacci, primerange
%o A095088 def a(n):
%o A095088     k=0
%o A095088     x=0
%o A095088     while n>0:
%o A095088         k=0
%o A095088         while fibonacci(k)<=n: k+=1
%o A095088         x+=10**(k - 3)
%o A095088         n-=fibonacci(k - 1)
%o A095088     return x
%o A095088 def ok(n): return str(a(n)).endswith("100")
%o A095088 print([n for n in primerange(1, 2001) if ok(n)]) # _Indranil Ghosh_, Jun 08 2017
%Y A095088 Intersection of A000040 and A035337. Cf. A095068.
%K A095088 nonn
%O A095088 1,1
%A A095088 _Antti Karttunen_, Jun 01 2004