The smallest prime greater than $10$ is $11$, so its square is $11^2 = 121$.
["The Smallest Prime Greater Than 10: Understanding Its Square and Significance", "In number theory, primes play a foundational role as the building blocks of all integers. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. When exploring the sequence of primes, a fascinating fact stands out: the smallest prime number greater than 10 is 11. This modest but important prime serves as a gateway to deeper mathematical exploration—especially when we consider its square.", "The square of 11 is calculated simply as:", "[\n11^2 = 11 \ imes 11 = 121\n]", "At first glance, 121 may seem like just another product of multiplication. However, from a mathematical and educational perspective, it holds subtle significance. The number 11 marks a clear jump in the prime sequence—filling a small but meaningful gap between the primes 7 and 13. Recognizing 11 as the smallest prime beyond 10 helps beginners and learners solidify their understanding of prime number progression.", "Squaring primes like 11 offers more than a numeric result; it reinforces foundational arithmetic and introduces concepts like perfect squares, hidden patterns in primes, and applications in areas such as cryptography and number theory. The square of any prime often exhibits unique properties that distinguish it from composite numbers—making it an interesting topic in mathematical studies.", "Beyond its numeric value, the simplicity of (11^2 = 121) makes it an ideal example for teaching the basics of multiplication, prime properties, and square calculations. Whether in classrooms, online learning platforms, or casual math exploration, emphasizing the square of the smallest prime over 10 helps learners appreciate the elegance and structure inherent in numbers.", "So, while (11^2 = 121) may appear straightforward, it opens a gateway to understanding primes, perfect squares, and the beauty of number theory. This small square is not just a figure—it's a stepping stone in the journey of mathematical discovery."]
