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Assuming the Fibonacci sequence starts with the numbers 0, 1, as per sequence A000045, the 24th Fibonacci number is 28657.
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.
A Fibonacci number series is like the example below, 1,1,2,3,5,8,13,21,34,55,89,144,233,377,610...... and so on in general Fibonacci numbers are just the previous two numbers added together starting with 1 and 0 then goes on forever.
1,1,2,3,5,8,13,21,34,55,89 Each number is the sum of the two preceding numbers.
Any single digit number is a palindrome. The Fibonacci sequence consists of infinitely many numbers so 8, being only one number, cannot be the Fibonacci sequence.