Understanding Smith Numbers

James Grime and Brady Haran discuss Smith numbers, which are numbers where the sum of the digits equals the sum of the digits of its prime factors. They explore the origin of Smith numbers, provide examples including the number 666, and discuss the largest known Smith number. The video highlights the mathematical beauty and properties of these numbers.

Where did the concept of Smith numbers originate?

• In a newspaper article

• In a mathematics textbook

• In a telephone directory

• In a scientific journal

What is the defining property of a Smith number?

• It is a perfect square

• It is an even number

• The sum of its digits equals the sum of its prime factors

• It is a prime number

Which of the following is an example of a Smith number?

• 27

• 81

• 15

• 49

How is the number 666 related to Smith numbers?

• It is a composite number

• It is a prime number

• It is a Smith number

• It is not a Smith number

What is the original Smith number discovered by Albert Wilansky?

• 987-6543

• 555-1234

• 493-7775

• 123-4567

Why does James Grime find Smith numbers appealing?

• They are used in everyday life

• They are easy to calculate

• They have a unique mathematical property

• They are related to physics

What analogy does James Grime use to describe prime numbers?

• Building blocks of mathematics

• Building blocks of physics

• Building blocks of chemistry

• Building blocks of biology

What is the mathematical expression for the largest known Smith number?

• 10 to the power 1,000 minus 1

• 10 to the power 1,031 minus 1

• 10 to the power 500 minus 1

• 10 to the power 100 minus 1

What is the significance of the number '1' in the expression for the largest known Smith number?

• It is a placeholder

• It is crucial for the calculation

• It is not significant

• It is an error

What is the power to which the bracketed expression is raised in the largest known Smith number?

• 1,476

• 500

• 1,000

• 100