A328733 List of numbers k such that Fibonacci(k) and Fibonacci(k+1) have the same number of prime factors, counted with multiplicity.
1, 3, 4, 8, 9, 15, 27, 37, 38, 44, 68, 104, 116, 124, 170, 201, 202, 205, 214, 291, 302, 361, 381, 387, 403, 428, 469, 474, 502, 507, 514, 565, 584, 602, 603, 622, 628, 663, 668, 669, 675, 698, 710, 745, 763, 766, 865, 872, 873, 898, 922, 968, 1006, 1015, 1018, 1035, 1075, 1146, 1153, 1182
Offset: 1
Keywords
Examples
F(8) = 21 = 3 * 7, and F(9) = 34 = 2 * 17 have 2 prime factors each, so 8 is a part of the sequence.
Links
- Blair Kelly, Fibonacci factorizations up to 1000 terms
- Tomás Roca Sánchez, Python script that uses already factorized numbers of the sequence
Programs
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PARI
isok(k) = bigomega(fibonacci(k)) == bigomega(fibonacci(k+1)); \\ Michel Marcus, Nov 11 2019
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Python
# See link
Extensions
More terms from Amiram Eldar, Oct 26 2019
Comments