It is the counter that tells you the position of the numbers in the sequence: the first, second and so on.
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It is an arithmetic sequence for which the index goes on and on (and on).
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. ;)
uses of index
The number that occurs most in a number sequence.
It is an irrational number; therefore the sequence is endless. The 'full number sequence' can never be known.