What is the next number in the sequence 2, 3, 5, 7, 13, 17, 19, 31, _____?

The sequence you're asking about consists of prime numbers, but not all prime numbers appear. The numbers given are:

\[ 2, 3, 5, 7, 13, 17, 19, 31 \]

Looking at the sequence:
- After 2, 3, 5, 7, the prime number 11 is missing.
- After 13, the prime number 23 is missing.
- After 19, the prime number 29 is missing.

Hence, the next number in the sequence is the prime number **37**.

Would you like more details on how prime numbers are distributed?

### Follow-up Questions:
1. What is a prime number, and how is it defined?
2. Why do certain prime numbers seem to be skipped in this sequence?
3. How can prime numbers be used in cryptography?
4. Can you predict the next 5 prime numbers after 37?
5. What is the Sieve of Eratosthenes, and how does it help find prime numbers?

**Tip:** Prime numbers have no divisors other than 1 and themselves, making them foundational in number theory.

Discover the next number in the prime number sequence 2, 3, 5, 7, 13, 17, 19, 31. Learn about prime numbers, why some primes seem to be skipped, and explore deeper concepts like the Prime Number Theorem. Suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation