33552
This number is a composite.
Just showing those entries submitted by 'Ahmed': (Click here to show all)
33552 = F(12) × F(13) is the sum of the squares of the
first 12 Fibonacci numbers. Notably, F(12) = 12² is a
Fibonacci square, and F(13) = 233 is a Fibonacci prime.
Furthermore, every digit of 33552 is itself one of the
first three Fibonacci primes (2, 3, and 5). If we list the
numbers composed exclusively of these digits in increasing
order, then 33552 is the 253rd term. Remarkably, the index
253 = (12×1−1)(12×2−1) also consists only of the digits 2,
3, and 5. [Ahmed]
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