An integer sequence is a list of numbers arranged in a specific order, where each number is an integer. These sequences can follow a particular rule or pattern, such as adding a constant value or multiplying by a fixed number. For example, the sequence 1, 2, 3, 4, 5 increases by 1 each time. Integer sequences are important in mathematics and can be found in various areas, including combinatorics, number theory, and computer science. Famous examples include the Fibonacci sequence, where each number is the sum of the two preceding ones, and the prime numbers, which are integers greater than 1 that have no divisors other than 1 and themselves.