These are the first prime numbers:2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43...
You can find a longer list easily, if you search the internet for "list of prime numbers".
7, 11, 13
11, 13, 17
is 29 30 45
31, 37 and 41.
37 41 43
The numbers with only three factors are squares of prime numbers.
Numbers that have only two factors are prime numbers. You're looking for the next three prime numbers over a certain number. But, you didn't tell us what number the three numbers have to be greater than.
The next three primes greater than 41 are 43, 47, and 53.
Prime numbers that are next to each other on the list of prime numbers.
The first prime above 20 is 23, and then all others (29 is the next).
The next prime number after 235,711 is 235,723
23, 29, 31, 37, 41.
Consecutive prime numbers are two prime numbers that are next to each other, with no other prime numbers in between. For example, 3 and 5 are consecutive prime numbers.