Understanding Truncatable Primes

The video explores special numbers, focusing on left-truncatable, right-truncatable, and deletable primes. It explains how these primes are formed and their unique properties. The discussion includes the largest known examples and the potential for discovering more. The video emphasizes the importance of studying such mathematical concepts for developing new tools and enhancing cognitive skills.

What makes the 24-digit number discussed in the video special?

• It is divisible by 10.

• It is a palindrome.

• It remains prime when truncated from the left.

• It is the smallest prime number.

Which of the following numbers can be a valid last digit for a left-truncatable prime?

• 6

• 9

• 4

• 7

What is the largest known right-truncatable prime number?

• 1,979,339,339

• 73,939,133

• 739,397

• 357,686,312,646,216,567,629,137

What happens when you remove digits from the right of a right-truncatable prime?

• It becomes a palindrome.

• It remains a prime number.

• It becomes divisible by 10.

• It becomes a composite number.

Which number is both left and right-truncatable?

• 739,397

• 357,686,312,646,216,567,629,137

• 73,939,133

• 1,979,339,339

What is a deletable prime?

• A prime that is only divisible by 1 and itself.

• A prime that is divisible by 2.

• A prime that is a palindrome.

• A prime that remains prime when any digit is removed.

What is the significance of the number 415,673 in the context of deletable primes?

• It is the largest known deletable prime.

• It can be reduced to a single-digit prime by removing digits.

• It is a palindrome.

• It is divisible by 10.

What is the challenge associated with deletable primes?

• Calculating their sum.

• Proving their existence.

• Finding the largest one.

• Determining if they are infinite.

Why might mathematicians study truncatable primes?

• To find new ways to calculate large numbers.

• To develop new mathematical tools and ideas.

• To prove the existence of infinite primes.

• To solve complex algebraic equations.

What is the benefit of studying problems like truncatable primes?

• They encourage different ways of thinking.

• They simplify complex equations.

• They help solve real-world problems.

• They improve mathematical computation speed.