Find the next prime in the sequence of odd primes: 7, 11, 13, 17, 19, …

Introduction / Context:This is a prime-number recognition problem. The sequence lists consecutive odd primes in ascending order. We need the next prime after 19.

Given Data / Assumptions:

• Sequence: 7, 11, 13, 17, 19.
• All terms shown are prime numbers and increase.

Concept / Approach:

• Prime numbers are integers greater than 1 with no positive divisors other than 1 and themselves.
• Check the next odd integers after 19: 21 (composite), 23 (prime).

Step-by-Step Solution:

Verification / Alternative check:Known list of primes confirms 23 follows 19 in the odd prime sequence after excluding 21 as composite.

Why Other Options Are Wrong:

• 21 and 27 are composite (21 = 3*7; 27 = 3^3).
• None of these: Incorrect because 23 is the correct next prime.

Common Pitfalls:

• Assuming every odd number is prime.
• Stopping checks too early without testing divisibility by small primes.

Final Answer:23