The concept of prime numbers is one of the most fundamental mathematical principles. Prime numbers are those numbers which can only be divided by 1 and itself. The greatest prime number that is less than 100 is 97.

A prime number is an integer that is divisible only by itself and 1. Prime numbers are used in a variety of applications, including cryptography, computer science, and number theory. Prime numbers are also often used to factorize numbers and to find the greatest common divisor (GCD).

The study of prime numbers has been a fascinating area of mathematics since ancient times, with many mathematicians and scholars attempting to find patterns or properties of prime numbers. Euclid, who lived in the 3rd century BC, was the first to prove that there are infinitely many prime numbers. In the 18th century, Leonhard Euler proved the infinitude of prime numbers and he also developed a formula for finding them.

The first 25 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97. As you can see, the greatest prime number that is less than 100 is 97.

Prime numbers are incredibly important to mathematics and the study of them continues to produce new insights and discoveries. Prime numbers are involved in many theories and problems in mathematics, including Fermat’s Last Theorem, the Riemann Hypothesis, and the Goldbach Conjecture.

Understanding prime numbers also helps in solving certain problems in computer science and cryptography, such as the RSA algorithm. Prime numbers are also used in various fields of science, including physics and chemistry.

In conclusion, the greatest prime number less than 100 is 97. Prime numbers are an integral part of mathematics and have been studied by mathematicians and scholars for centuries. Prime numbers are used in many applications, including cryptography, computer science, and number theory. Understanding prime numbers is essential to solving many problems in mathematics and computer science.