A173347 Fibonacci numbers with both a prime number of 0's and a prime number of 1's in their binary representations.

21, 233, 196418, 9227465, 165580141, 2971215073, 53316291173, 2504730781961, 3416454622906707, 51680708854858323072, 184551825793033096366333, 898923707008479989274290850145, 3210056809456107725247980776292056

Offset

1,1

Comments

21 -> 10101, 233 -> 11101001, 196418 -> 101111111101000010,..

Links

Table of n, a(n) for n=1..13.

Mathematica

Select[Fibonacci[Range[6! ]], PrimeQ[DigitCount[ #, 2, 0]]&&PrimeQ[DigitCount[ #, 2, 1]]&]

Crossrefs

Cf. A000045, A144214.

Sequence in context: A161581 A350570 A069601 * A360854 A303968 A304930

Adjacent sequences: A173344 A173345 A173346 * A173348 A173349 A173350

Keyword

base,nonn

Author

Vladimir Joseph Stephan Orlovsky, Feb 16 2010

Status

approved