No. The nearest one is 34
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37 is not in the Fibonacci number series, but is the sum of two Fibonacci numbers, 34 and 3. Fibonacci numbers are with 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, etc.
Yes - 5 is the fifth Fibonacci number.
No. For example: 4181 / 37 = 113 so it can't be prime. But 4181 is the first composite number in the Fibonacci sequence with a prime index. ;)
Yes. 610 is the 15th number in the Fibonacci sequence.
The 20th Fibonacci number in the sequence is 6,765.