Consider the sequence of prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, ... Find the 100th prime number in this sequence.

How many prime numbers are in the range of 100 to 151, inclusive?10111726

Find the next number in the given sequence?11, 23, 48, 99...........?156194202259

Given the list primes, ``primes = [2, 3, 5, 7, 11, 13, 17, 19, 23,29]``, How do you obtain the primes 2 and 13?

Count Primes in SequenceYou are a software engineer working on a security algorithm that relies on prime numbers. Your team leader has tasked you with developing a function called count_primes_in_sequence(n) that analyzes a given number by breaking it down into sequential digit combinations. The function should determine how many of these combinations are prime numbers.Task:Implement the function count_primes_in_sequence(n) that takes a single integer n as input.Form numbers using the first digit, the first two digits, the first three digits, and so on, up to the entire number.Check each of these numbers to see if they are prime.Return the count of prime numbers found.Constraints:Input format:Single line of input representing an integer Output format:Single line of output displays count of prime numbersExample:Sample Input:2357Sample Output:Count of prime numbers: 3Explanation:User input: 2357Numbers to check:1. 2 (prime)2. 23 (prime)3. 235 (not prime)4. 2357 (prime)Output:Count of prime numbers: 3Public Test Cases:# INPUT EXPECTED OUTPUT1 2357Count of prime numbers: 3

Is 149 a prime number? Explain how you decided