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 A182575 Primes with equal number of 1's and 0's in their representation in base of Fibonacci numbers (A014417). 0
 2, 7, 17, 19, 53, 373, 983, 6709, 6761, 6763, 17333, 17707, 43783, 103681, 317789, 785671, 2177321, 5581493, 38770357, 39070457, 1836305137, 10749957121, 12586147631, 12586251313, 32951279111, 86252640919, 86267571127, 86267571263, 213265164691, 225845730829 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS EXAMPLE Representation of 19 is 101001, three 1's and three 0's, so 19 is in the sequence. Representation of 23 is 1000010, two 1's and five 0's, so 23 is not in the sequence. MATHEMATICA nn = 30; f = Join[{0}, Accumulate[Fibonacci[Range[2, 2*nn, 2] - 1]]]; t = Table[hi = f[[n+1]] - 1; Reverse[Table[hi - f[[i]], {i, n - 1}]], {n, 2, nn}]; Select[Flatten[t], PrimeQ] (* T. D. Noe, May 07 2012 *) CROSSREFS Cf. A003714, A014417, A000045, A000040. Sequence in context: A045378 A101568 A291528 * A074884 A227144 A105911 Adjacent sequences:  A182572 A182573 A182574 * A182576 A182577 A182578 KEYWORD nonn AUTHOR Alex Ratushnyak, May 05 2012 EXTENSIONS Extended by T. D. Noe, May 07 2012 STATUS approved

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Last modified May 25 10:01 EDT 2020. Contains 334592 sequences. (Running on oeis4.)