Consecutive prime numbers refers to a sequence of two or more prime numbers that are next to each other with no other prime numbers in between. A prime number is a number that is larger than one and that can only be divided evenly by one and itself.
Some examples of prime numbers are 5, 7, 11, 13 and 17. Using these numbers in a sequence such as 11, 13, 17 means they would be consecutive, as there are no prime numbers between any of these three numbers.
On the other hand, the sequence 7, 13, 17 would not represent consecutive prime numbers because the prime number 11 can go between the 7 and the 13.