Yes to both.
37, 41, and 43 are prime numbers.
41/43/47/53
41
41 43 47.
31 37 41 43.
31, 37, 41, 43, and 47
You can easily find lots of lists of prime numbers online.In this case, the answer is 37, 41, 43, 47, 53.
43 is a prime number.
43 is a prime number.
Prime numbers which come after 37 are 41, 43 & 47.
37 is a prime number.
43 is prime.