Fibonacci Primes

Calculates prime numbers within the sequence of Fibonacci numbers up to a specified limit. Users input an upper bound, and the tool generates all integers that satisfy both criteria simultaneously. It follows the standard definition of the Fibonacci sequence, where each number is the sum of the two preceding ones (starting typically with 0 and 1), and then tests each resulting term for primality. This process efficiently identifies numbers belonging to this specific intersection of two fundamental mathematical concepts. Mathematicians, students studying number theory, and cryptographic researchers utilize this tool for exploring patterns in prime numbers. It assists users who need to examine the distribution or list of these rare composite values without manual calculation.